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CN108896040A - Sky sea integrated water diving device inertia/gravity Combinated navigation method and system - Google Patents

Sky sea integrated water diving device inertia/gravity Combinated navigation method and system Download PDF

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CN108896040A
CN108896040A CN201810290396.6A CN201810290396A CN108896040A CN 108896040 A CN108896040 A CN 108896040A CN 201810290396 A CN201810290396 A CN 201810290396A CN 108896040 A CN108896040 A CN 108896040A
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CN108896040B (en
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郑伟
李钊伟
房静
吴凡
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China Academy of Space Technology CAST
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C21/00Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
    • G01C21/10Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration
    • G01C21/12Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration executed aboard the object being navigated; Dead reckoning
    • G01C21/16Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration executed aboard the object being navigated; Dead reckoning by integrating acceleration or speed, i.e. inertial navigation
    • G01C21/165Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration executed aboard the object being navigated; Dead reckoning by integrating acceleration or speed, i.e. inertial navigation combined with non-inertial navigation instruments
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C21/00Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
    • G01C21/20Instruments for performing navigational calculations
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C21/00Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
    • G01C21/20Instruments for performing navigational calculations
    • G01C21/203Specially adapted for sailing ships

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  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Automation & Control Theory (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Position Fixing By Use Of Radio Waves (AREA)

Abstract

本发明公开了一种天空海一体化水下潜器惯性/重力组合导航方法和系统,其中,该方法基于分层邻域阈值搜索原理实现对水下潜器惯性/重力组合导航匹配效率的提高;该方法以较大网格间隔数进行粗搜索匹配,并设置阈值且对选取的每个粗搜索行最佳匹配点周围的若干邻域点进行匹配比较,获得每个粗搜索行附近范围内临时最佳匹配点,最终对获取的所有临时最佳匹配点进行比较,进而得到整个搜索范围内最佳匹配点。该方法具有匹配效率快,定位精度高,计算机性能要求低等优点。

The invention discloses a sky-sea integrated underwater vehicle inertial/gravity combined navigation method and system, wherein the method is based on the layered neighborhood threshold search principle to improve the matching efficiency of the underwater submersible's inertial/gravity combined navigation ; This method uses a large number of grid intervals for rough search matching, and sets a threshold and performs matching and comparison on several neighborhood points around the best matching point of each selected rough search line to obtain The temporary best matching point is finally compared with all the obtained temporary best matching points, and then the best matching point in the entire search range is obtained. This method has the advantages of fast matching efficiency, high positioning accuracy, and low computer performance requirements.

Description

天空海一体化水下潜器惯性/重力组合导航方法和系统Inertial/gravity integrated navigation method and system for sky-sea integrated underwater vehicle

技术领域technical field

本发明属于航天和海洋技术领域,尤其涉及一种天空海一体化水下潜器惯性/重力组合导航方法和系统。The invention belongs to the field of aerospace and marine technology, and in particular relates to an inertial/gravity combined navigation method and system for a sky-sea integrated underwater submersible.

背景技术Background technique

天空海一体化海洋导航(融合天基、空基、海基等多源信息)是水下潜器导航系统发展的主要趋势。目前水下潜器导航系统主要为惯性导航系统(INS:Inertial NavigationSystem),可为水下潜器航行和武器系统精准打击提供有利条件,但INS系统存在误差随时间积累的缺点,因此需进行外部校正。迄今为止,将地球物理场与INS系统联合构成的无源辅助导航系统始终是有效抑制INS系统误差积累问题的国际研究热点。目前无源辅助导航技术主要包括:地磁匹配、地形匹配、重力匹配等。地磁场本身存在长期和短期变化,使地磁图精度达不到较高要求,且测磁技术存在磁干扰等局限性。地形研究开展较早,特别是陆地上的地形匹配导航技术已运用于飞行器导航,但水下地形匹配导航发展相对较晚。由于需要向外发射声波,而且声纳测量地形在海况复杂条件下无法精确探测到深海地形,因此目前水下地形匹配导航技术仅适用于浅海地区。然而,海洋重力匹配导航是根据地球不同位置重力差异实现导航定位,不需要水下潜器浮出或接近水面,测量时不向外辐射能量,且地球重力场在长时间内保持稳定,因此有望实现水下潜器精确、自主和连续长航时的定位。Sky-sea integrated marine navigation (integrating multi-source information such as space-based, space-based, and sea-based) is the main trend in the development of underwater vehicle navigation systems. At present, the underwater vehicle navigation system is mainly an inertial navigation system (INS: Inertial Navigation System), which can provide favorable conditions for underwater vehicle navigation and weapon system precision strikes. However, the INS system has the disadvantage that errors accumulate over time, so external Correction. So far, the passive auxiliary navigation system composed of geophysical field and INS system has always been an international research hotspot to effectively suppress the accumulation of INS system errors. At present, the passive auxiliary navigation technology mainly includes: geomagnetic matching, terrain matching, gravity matching, etc. The geomagnetic field itself has long-term and short-term changes, so that the accuracy of the geomagnetic map cannot meet the high requirements, and the magnetic measurement technology has limitations such as magnetic interference. Terrain research has been carried out earlier, especially the terrain matching navigation technology on land has been applied to aircraft navigation, but the development of underwater terrain matching navigation is relatively late. Due to the need to emit sound waves outward, and the sonar survey topography cannot accurately detect deep-sea topography under complex sea conditions, the current underwater terrain matching navigation technology is only applicable to shallow sea areas. However, marine gravity matching navigation realizes navigation and positioning according to the gravity difference of different positions on the earth. It does not require underwater submersibles to surface or approach the water surface. It does not radiate energy when measuring, and the earth’s gravity field remains stable for a long time. Therefore, it is expected Realize accurate, autonomous and continuous long-endurance positioning of underwater vehicles.

重力匹配技术实现的核心问题是解决高精度和高分辨率重力基准图、高精度重力测量系统、重力匹配定位算法等关键技术。自上世纪以来,众多学者先后提出了多种重力匹配算法,其中Tercom算法较为盛行。优点为计算简单可靠、定位精度较高等;缺点为采用全局遍历的搜索策略,运算量大,运算效率较低,且对载体航迹要求较高,当航向存在较大偏差时误差将急剧增大。因此,如何提高Tercom算法的定位精度和匹配效率是当前水下导航领域的研究热点。赵建虎等将基于Hausdorff距离的匹配准则引入Tercom算法中,提出通过增加旋转变化、自适应确定最佳旋转角、实现适配序列精匹配的思想和算法,进而有效提高了匹配导航精度和可靠性;闫利等基于Tercom算法开展重力匹配仿真模拟研究,并证明了地形粗糙度和坡度方差与Tercom算法的定位精度具有强相关性。综上所述,目前大部分学者主要围绕提高水下导航精度开展研究,而提高水下导航匹配效率方面研究相对较少。The core problem of gravity matching technology is to solve key technologies such as high-precision and high-resolution gravity reference map, high-precision gravity measurement system, and gravity matching positioning algorithm. Since the last century, many scholars have proposed a variety of gravity matching algorithms, among which the Tercom algorithm is more popular. The advantage is that the calculation is simple and reliable, and the positioning accuracy is high; the disadvantage is that the search strategy of global traversal is adopted, the calculation amount is large, the calculation efficiency is low, and the requirements for the carrier track are high, and the error will increase sharply when there is a large deviation in the heading . Therefore, how to improve the positioning accuracy and matching efficiency of the Tercom algorithm is a research hotspot in the field of underwater navigation. Zhao Jianhu et al. introduced the matching criterion based on Hausdorff distance into the Tercom algorithm, and proposed the idea and algorithm of realizing the fine matching of the adaptation sequence by increasing the rotation change, adaptively determining the optimal rotation angle, and effectively improving the accuracy and reliability of matching navigation; Yan Li et al. carried out gravity matching simulation research based on the Tercom algorithm, and proved that the terrain roughness and slope variance have a strong correlation with the positioning accuracy of the Tercom algorithm. To sum up, at present, most scholars mainly conduct research on improving the accuracy of underwater navigation, while there are relatively few studies on improving the matching efficiency of underwater navigation.

发明内容Contents of the invention

本发明的技术解决问题:克服现有技术的不足,提供一种天空海一体化水下潜器惯性/重力组合导航方法和系统,旨在克服传统Tercom算法逐点遍历搜索效率较低的缺点,提高天空海一体化水下潜器惯性/重力组合导航的匹配效率。The technical problem of the present invention is to overcome the deficiencies of the prior art, and provide a sky-sea integrated underwater vehicle inertial/gravity combined navigation method and system, aiming to overcome the shortcomings of the traditional Tercom algorithm, which has a relatively low search efficiency point by point, Improve the matching efficiency of the inertial/gravity integrated navigation of the sky-sea integrated underwater vehicle.

为了解决上述技术问题,本发明公开了一种天空海一体化水下潜器惯性/重力组合导航方法,包括:In order to solve the above technical problems, the present invention discloses an inertial/gravity combined navigation method for the Sky-Sea integrated underwater submersible, including:

在确定的搜索范围内,以设定网格间隔数进行粗搜索匹配,得到粗搜索最佳匹配点;Within the determined search range, the rough search matching is performed with the set grid interval number, and the best matching point of the rough search is obtained;

根据设置阈值,对粗搜索最佳匹配点周围的若干邻域点进行匹配比较,获得各粗搜索最佳匹配点对应的粗搜索临时最佳匹配点;According to the set threshold, a number of neighborhood points around the rough search best match point are matched and compared to obtain the rough search temporary best match point corresponding to each rough search best match point;

对各粗搜索临时最佳匹配点进行比较,得到整个搜索范围内的最佳匹配点;Comparing each coarse search temporary best matching point to obtain the best matching point in the entire search range;

将所述最佳匹配点作为导航结果输出。Outputting the best matching point as a navigation result.

在上述天空海一体化水下潜器惯性/重力组合导航方法中,还包括:In the above-mentioned inertial/gravity combined navigation method of the Sky-Sea integrated underwater submersible, it also includes:

确定当前时刻INS输出的位置信息,以及所述位置信息对应的INS估计误差;Determine the location information output by the INS at the current moment, and the INS estimation error corresponding to the location information;

根据所述位置信息和所述位置信息对应的INS估计误差,在重力基准图中确定搜索范围。A search range is determined in the gravity reference map according to the position information and the INS estimation error corresponding to the position information.

在上述天空海一体化水下潜器惯性/重力组合导航方法中,所述根据所述位置信息和所述位置信息对应的INS估计误差,在重力基准图中确定搜索范围,包括:In the sky-sea integrated underwater vehicle inertial/gravity integrated navigation method described above, the search range is determined in the gravity reference map according to the position information and the INS estimation error corresponding to the position information, including:

以所述位置信息所指示的位置为圆心,以所述INS估计误差的倍数为半径,在重力基准图中确定搜索范围。Taking the position indicated by the position information as the center of the circle, and taking the multiple of the INS estimation error as the radius, determine the search range in the gravity reference map.

在上述天空海一体化水下潜器惯性/重力组合导航方法中,所述重力基准图,包括:行和列;其中,行表示纬度,列表示经度。In the sky-sea integrated underwater vehicle inertial/gravity combined navigation method, the gravity reference map includes: rows and columns; wherein, the rows represent latitude, and the columns represent longitude.

在上述天空海一体化水下潜器惯性/重力组合导航方法中,所述在确定的搜索范围内,以设定网格间隔数进行粗搜索匹配,得到粗搜索最佳匹配点,包括:In the above-mentioned inertial/gravity combined navigation method of the sky-sea integrated underwater submersible, within the determined search range, the coarse search and matching are performed with the set grid interval number to obtain the best matching point of the coarse search, including:

在确定的搜索范围内,按照第一设定间隔,选择至少一个粗搜索行;Within the determined search range, select at least one coarse search line according to a first set interval;

按照地形轮廓匹配法,对各粗搜索行,按照第二设定间隔进行粗搜索,得到各粗搜索行的最佳匹配点。According to the terrain contour matching method, the rough search is performed on each rough search line according to the second set interval, and the best matching point of each rough search line is obtained.

在上述天空海一体化水下潜器惯性/重力组合导航方法中,所述根据设置阈值,对粗搜索最佳匹配点周围的若干邻域点进行匹配比较,获得各粗搜索最佳匹配点对应的粗搜索临时最佳匹配点,包括:In the above inertial/gravity combined navigation method of the sky-sea integrated underwater submersible, according to the set threshold, a number of neighborhood points around the rough search best match point are matched and compared to obtain the corresponding rough search best match point. Coarse search of temporary best matching points, including:

根据设置阈值,对各粗搜索行的最佳匹配点周围的若干邻域点进行匹配比较,获得每个粗搜索行附近范围内临时最佳匹配点,作为粗搜索临时最佳匹配点。According to the set threshold, match and compare several neighborhood points around the best matching point of each rough search line, and obtain the temporary best matching point within the vicinity of each rough search line as the rough search temporary best matching point.

相应的,本发明还公开了一种天空海一体化水下潜器惯性/重力组合导航系统,包括:Correspondingly, the present invention also discloses a sky-sea integrated underwater vehicle inertial/gravity combined navigation system, including:

粗搜索模块,用于在确定的搜索范围内,以设定网格间隔数进行粗搜索匹配,得到粗搜索最佳匹配点;The rough search module is used to perform rough search matching with the set grid interval number within the determined search range to obtain the best matching point for rough search;

筛选模块,用于根据设置阈值,对粗搜索最佳匹配点周围的若干邻域点进行匹配比较,获得各粗搜索最佳匹配点对应的粗搜索临时最佳匹配点;The screening module is used to match and compare several neighborhood points around the rough search best match point according to the set threshold, and obtain the coarse search temporary best match point corresponding to each rough search best match point;

比较模块,对各粗搜索临时最佳匹配点进行比较,得到整个搜索范围内的最佳匹配点;The comparison module is used to compare each rough search temporary best matching point to obtain the best matching point in the entire search range;

输出模块,用于将所述最佳匹配点作为导航结果输出。An output module, configured to output the best matching point as a navigation result.

本发明具有以下优点:The present invention has the following advantages:

1)水下惯性/重力组合导航匹配效率快;1) The matching efficiency of underwater inertial/gravity combined navigation is fast;

2)水下重力匹配定位精度高;2) Underwater gravity matching positioning accuracy is high;

3)水下重力匹配导航可靠性高;3) High reliability of underwater gravity matching navigation;

4)水下重力匹配过程物理含义明确。4) The physical meaning of the underwater gravity matching process is clear.

附图说明Description of drawings

图1是本发明实施例中一种天空海一体化水下潜器惯性/重力组合导航方法的步骤流程图;Fig. 1 is a flow chart of the steps of an inertial/gravity combined navigation method for a sky-sea integrated underwater submersible in an embodiment of the present invention;

图2是本发明实施例中一种水下惯性/重力组合导航流程示意图;Fig. 2 is a schematic flow chart of underwater inertial/gravity combined navigation in an embodiment of the present invention;

图3是本发明实施例中一种不同格网间隔数和邻域情况下算法定位精度和效率对比示意图;Fig. 3 is a schematic diagram of a comparison of algorithm positioning accuracy and efficiency under different grid interval numbers and neighborhoods in an embodiment of the present invention;

图4是本发明实施例中一种不同格网和邻域情况下算法统计信息分析示意图;Fig. 4 is a schematic diagram of statistical information analysis of an algorithm under different grids and neighborhoods in an embodiment of the present invention;

其中,图3(a)表示3格网间隔数,图3(b)表示4格网间隔数,图3(c)表示5格网间隔数,图3(d)表示6格网间隔数;图4(a)表示平均定位精度对比,图4(b)表示定位精度标准差对比,图4(c)表示匹配重合率对比,图4(d)表示定位时间对比。Wherein, Fig. 3 (a) represents the number of 3 grid intervals, Fig. 3 (b) represents the number of 4 grid intervals, Fig. 3 (c) represents the number of 5 grid intervals, and Fig. 3 (d) represents the number of 6 grid intervals; Figure 4(a) shows the comparison of average positioning accuracy, Figure 4(b) shows the comparison of standard deviation of positioning accuracy, Figure 4(c) shows the comparison of matching coincidence rate, and Figure 4(d) shows the comparison of positioning time.

具体实施方式Detailed ways

为使本发明的目的、技术方案和优点更加清楚,下面将结合附图对本发明公开的实施方式作进一步详细描述。In order to make the object, technical solution and advantages of the present invention clearer, the embodiments disclosed in the present invention will be further described in detail below in conjunction with the accompanying drawings.

参照图1,示出了本发明实施例中一种天空海一体化水下潜器惯性/重力组合导航方法的步骤流程图。在本实施例中,所述天空海一体化水下潜器惯性/重力组合导航方法,包括:Referring to FIG. 1 , it shows a flow chart of the steps of an inertial/gravity integrated navigation method for a sky-sea integrated underwater submersible in an embodiment of the present invention. In this embodiment, the inertial/gravity combined navigation method of the sky-sea integrated underwater vehicle includes:

步骤101,在确定的搜索范围内,以设定网格间隔数进行粗搜索匹配,得到粗搜索最佳匹配点。Step 101 , within the determined search range, perform rough search and matching with a set number of grid intervals to obtain the best matching point for rough search.

步骤102,根据设置阈值,对粗搜索最佳匹配点周围的若干邻域点进行匹配比较,获得各粗搜索最佳匹配点对应的粗搜索临时最佳匹配点。Step 102 , according to the set threshold, match and compare several neighborhood points around the rough search best match point to obtain rough search temporary best match points corresponding to each rough search best match point.

步骤103,对各粗搜索临时最佳匹配点进行比较,得到整个搜索范围内的最佳匹配点。Step 103, comparing the rough search temporary best matching points to obtain the best matching points within the entire search range.

步骤104,将所述最佳匹配点作为导航结果输出。Step 104, outputting the best matching point as a navigation result.

在本发明的一优选实施例中,在步骤101之前,所述天空海一体化水下潜器惯性/重力组合导航方法,可以还包括:确定当前时刻INS输出的位置信息,以及所述位置信息对应的INS估计误差;根据所述位置信息和所述位置信息对应的INS估计误差,在重力基准图中确定搜索范围。其中,重力基准图,包括:行和列;行表示纬度,列表示经度。In a preferred embodiment of the present invention, before step 101, the inertial/gravity integrated navigation method of the sky-sea integrated underwater vehicle may further include: determining the position information output by the INS at the current moment, and the position information Corresponding INS estimation error; according to the location information and the INS estimation error corresponding to the location information, determine the search range in the gravity reference map. Wherein, the gravity reference map includes: rows and columns; rows represent latitudes, and columns represent longitudes.

优选的,所述根据所述位置信息和所述位置信息对应的INS估计误差,在重力基准图中确定搜索范围,具体可以包括:以所述位置信息所指示的位置为圆心,以所述INS估计误差的倍数(如3倍的INS估计误差)为半径,在重力基准图中确定搜索范围。Preferably, the determining the search range in the gravity reference map according to the position information and the INS estimation error corresponding to the position information may specifically include: taking the position indicated by the position information as the center of the circle, taking the INS The multiple of the estimation error (such as 3 times the INS estimation error) is the radius, and the search range is determined in the gravity reference map.

其中,需要说明的是,在确定搜索范围时,半径(INS估计误差的倍数)可以根据实际情况选择适当的值,本实施例对此不作限制。Wherein, it should be noted that when determining the search range, the radius (the multiple of the INS estimation error) can be selected as an appropriate value according to the actual situation, which is not limited in this embodiment.

在本发明的一优选实施例中,上述步骤101,具体可以包括:在确定的搜索范围内,按照第一设定间隔,选择至少一个粗搜索行;按照地形轮廓匹配法,对各粗搜索行,按照第二设定间隔进行粗搜索,得到各粗搜索行的最佳匹配点。In a preferred embodiment of the present invention, the above step 101 may specifically include: within the determined search range, select at least one rough search line according to the first set interval; , perform a rough search according to the second set interval, and obtain the best matching point of each rough search line.

其中,第一设定间隔和第二设定间隔的可以根据实际情况选择适当的值,本实施例对此不作限制。Appropriate values for the first set interval and the second set interval may be selected according to actual conditions, which is not limited in this embodiment.

在本发明的一优选实施例中,上述步骤102,具体可以包括:根据设置阈值,对各粗搜索行的最佳匹配点周围的若干邻域点进行匹配比较,获得每个粗搜索行附近范围内临时最佳匹配点,作为粗搜索临时最佳匹配点。In a preferred embodiment of the present invention, the above-mentioned step 102 may specifically include: according to the set threshold, perform matching and comparison on several neighborhood points around the best matching point of each rough search line, and obtain the vicinity range of each rough search line The inner temporary best matching point is used as a rough search temporary best matching point.

基于上述实施例,下面结合一个具体实例进行说明。Based on the above-mentioned embodiment, the following will be described in conjunction with a specific example.

在本实施例中,所述天空海一体化水下潜器惯性/重力组合导航方法,基于分层邻域阈值搜索原理实现对水下潜器惯性/重力组合导航匹配效率的提高。In this embodiment, the sky-sea integrated underwater vehicle inertial/gravity integrated navigation method is based on the layered neighborhood threshold search principle to improve the matching efficiency of the underwater vehicle inertial/gravity integrated navigation.

本实施例中,研究数据来源于联合航天、海洋等多种技术生成的全球海陆数据库(http://topex.ucsd.edu/),数据经纬度取值范围为(经度112°~116°E,纬度10°~11°N),原始海底重力异常分辨率为1′×1′。In this example, the research data comes from the global sea and land database (http://topex.ucsd.edu/) generated by joint aerospace, marine and other technologies. Latitude 10°~11°N), the resolution of the original seabed gravity anomaly is 1′×1′.

水下重力匹配精度主要由匹配算法和重力场特征参数决定。现有重力匹配算法多源于地形匹配算法,TERCOM(Terrain Contour Matching)、ICCP(Iterative ClosestContour Point)、PDAF(Probability Data Associate Filtering)等均为批处理相关类算法,SITAN(Sandia Inertial Terrain-Aided Navigation)和PF(Particle Filter)算法分别是基于扩展卡尔曼滤波(EKF)和基于直接概率准则的连续匹配算法。The underwater gravity matching accuracy is mainly determined by the matching algorithm and the characteristic parameters of the gravity field. Most of the existing gravity matching algorithms are derived from terrain matching algorithms. TERCOM (Terrain Contour Matching), ICCP (Iterative Closest Contour Point), and PDAF (Probability Data Associate Filtering) are all batch-related algorithms. SITAN (Sandia Inertial Terrain-Aided Navigation ) and PF (Particle Filter) algorithms are continuous matching algorithms based on Extended Kalman Filter (EKF) and direct probability criterion respectively.

重力场特征参数是影响水下导航精度和匹配概率的关键因素,主要包括:重力场标准差、坡度标准差、峰度系数、粗燥度、信息熵、相关系数等。本发明基于重力场连续分布且空间分布变化较缓的特点,提出分层邻域阈值搜索法,旨在提高Tercom算法的匹配效率。分层邻域阈值搜索法的计算原理和算法流程如图2所示。The characteristic parameters of the gravity field are the key factors affecting the accuracy and matching probability of underwater navigation, mainly including: standard deviation of gravity field, standard deviation of slope, kurtosis coefficient, roughness, information entropy, correlation coefficient, etc. Based on the characteristics of continuous distribution of gravity field and slow change in spatial distribution, the present invention proposes a layered neighborhood threshold search method, aiming at improving the matching efficiency of the Tercom algorithm. The calculation principle and algorithm flow of the hierarchical neighborhood threshold search method are shown in Figure 2.

①确定起始位置A和目标位置B的坐标,并规划航向。① Determine the coordinates of the starting position A and the target position B, and plan the course.

②水下潜器进入匹配区后,当重力场测量序列足够长时,采用分层邻域阈值搜索法。首先,根据当前时刻INS误差估计搜索范围半径,在3σ(位置信息对应的INS估计误差)误差搜索范围内,先以较大的网格进行粗搜索匹配,获得每个粗搜索行的最佳匹配点;其次,选取粗搜索行最佳匹配点周围若干邻域点进行匹配比较,获得每个粗搜索行附近范围内临时最佳匹配点,在匹配过程中设置阈值提高匹配点的选取标准;最后,比较分析获取的若干临时最佳匹配点,确定搜索范围内最佳匹配点。② After the submersible enters the matching area, when the gravity field measurement sequence is long enough, the hierarchical neighborhood threshold search method is used. First, estimate the radius of the search range according to the INS error at the current moment, and within the error search range of 3σ (the INS estimation error corresponding to the position information), perform coarse search matching with a larger grid to obtain the best match for each coarse search line secondly, select a number of neighborhood points around the best matching point of the coarse search line for matching comparison, and obtain the temporary best matching point within the vicinity of each rough search line, and set a threshold to improve the selection standard of matching points during the matching process; finally , compare and analyze several temporary best matching points obtained, and determine the best matching point within the search range.

在匹配搜索过程中,假设搜索区域大小为M×M格网,g(x,y)为格网点(x,y)处的重力异常值,gs(x,y)为重力测量序列最后一个采样点值,若依据逐点遍历搜索策略,则初始匹配点总数目S0为:In the matching search process, it is assumed that the size of the search area is an M×M grid, g(x,y) is the gravity anomaly at the grid point (x,y), and gs(x,y) is the last sample of the gravity measurement sequence Point value, if according to the point-by-point traversal search strategy, the total number of initial matching points S 0 is:

S0=M2···(1)S 0 =M 2 ···(1)

基于分层邻域阈值搜索法,则初始匹配点总数目S估算如下:Based on the hierarchical neighborhood threshold search method, the total number of initial matching points S is estimated as follows:

第一,当以较大的格网间隔数横向和纵向粗搜索时,设n为格网间隔数,M为每行格网数,则每行选取的搜索点依次是g(x,1)、g(x,n+1)、g(x,2n+1)、……、g(x,n(k-1)+1),其中k是每行粗搜索点序号(正整数)。First, when searching horizontally and vertically with a large number of grid intervals, let n be the number of grid intervals, and M be the number of grids in each row, then the search points selected for each row are g(x,1) , g(x,n+1), g(x,2n+1),...,g(x,n(k-1)+1), where k is the serial number of the rough search point in each row (positive integer).

每行格网数M、格网间隔数n和每行粗搜索点数k关系如下:The relationship between the number of grids M in each row, the number of grid intervals n, and the number of coarse search points k in each row is as follows:

n(k-1)+1≤M<nk+1···(2)n(k-1)+1≤M<nk+1···(2)

所以,由公式(1)可得每行粗搜索点数k:Therefore, according to the formula (1), the rough search points k of each row can be obtained:

由于k为正整数,因而对k取整可得:Since k is a positive integer, it can be obtained by rounding k to an integer:

第二,由于粗搜索行与搜索列数目相同,因而搜索区域M×M格网内的粗搜索点总数目S1为:Second, since the number of coarse search rows and search columns is the same, the total number of coarse search points S1 in the search area M × M grid is:

第三,由于共有k个粗搜索行,每行都有一个最佳匹配点,选取此点周围8邻域点(或24邻域点)进行匹配,在匹配过程中阈值设置为(|g(x,y)-gs(x,y)|≤4mGal),提高了匹配点的选点标准。由公式(4)可得8邻域时(或24邻域时),周围附加搜索点数目S2的表达式:Third, since there are k rough search lines in total, and each line has a best matching point, 8 neighborhood points (or 24 neighborhood points) around this point are selected for matching, and the threshold is set to (|g( x,y)-g s (x,y)|≤4mGal), which improves the selection standard of matching points. From the formula (4), the expression of the number of additional search points S 2 around when there are 8 neighborhoods (or 24 neighborhoods) can be obtained:

第四,由公式(5)和(6)可得初始匹配点总数目S:Fourth, the total number of initial matching points S can be obtained from formulas (5) and (6):

S=S1+S2···(7)S=S 1 +S 2 ···(7)

其中,由于M>>n,因而估算数目S大幅度小于公式(1)中的遍历搜索数目S0。因此,基于分层邻域阈值搜索法,可通过提高匹配点的选取效率加快匹配速度,进而提高匹配导航的匹配效率。Wherein, since M>>n, the estimated number S is significantly smaller than the traversal search number S 0 in formula (1). Therefore, based on the hierarchical neighborhood threshold search method, the matching speed can be accelerated by improving the selection efficiency of matching points, thereby improving the matching efficiency of matching navigation.

③应用中值滤波误匹配修正法对步骤②的匹配点进行判断修正。现在的惯导误差通常是由上一时间惯导指示位置作为初值,然后对加速度积分得到。若匹配时间间隔一样,则若干相邻匹配点之间INS每次指示位置到匹配位置的修正数变化较小。因此,若某相邻点的匹配修正数偏离较大,则此点匹配结果不准确,可以用中值滤波进行匹配点估计。③Use the median filtering error matching correction method to judge and correct the matching points in step ②. The current inertial navigation error is usually obtained from the position indicated by the inertial navigation at the previous time as the initial value, and then the acceleration is integrated. If the matching time interval is the same, the number of corrections from each indication position of the INS to the matching position between several adjacent matching points is small. Therefore, if the matching correction number of a certain adjacent point deviates greatly, the matching result of this point is inaccurate, and the matching point can be estimated by median filtering.

④重复步骤②和③,直至到达目标区域。④Repeat steps ② and ③ until reaching the target area.

下面给出了天空海一体化水下潜器惯性/重力组合导航方法的试验验证结果及具体的应用。The experimental verification results and specific applications of the inertial/gravity integrated navigation method for the Sky-Sea integrated underwater vehicle are given below.

本发明中分辨率1′×1′的重力异常数据和海底地形数据源于加利福尼亚大学圣迭戈分校网站(http://topex.ucsd.edu/)。本发明选取南海地区重力异常数据进行研究,并与同区域海底地形数据进行对比分析。数据经纬度取值范围为(经度112°~116°E,纬度10°~11°N),其中重力异常最大值为133.4mGal,最小值为-32.4mGal,平均值为14.81mGal。由于本课题组预期利用6~8颗GNSS-R测高星座反演高空间分辨率海洋重力基准图,进而实现高精度水下重力匹配导航,因此,本发明通过Matlab插值计算将数据转换成格网分辨率100×100m进行验证。The gravity anomaly data and seabed topography data with a resolution of 1′×1′ in the present invention come from the website of the University of California, San Diego (http://topex.ucsd.edu/). The present invention selects the gravity anomaly data in the South China Sea area for research, and compares and analyzes it with the seabed topography data in the same area. The range of latitude and longitude of the data is (longitude 112°~116°E, latitude 10°~11°N), where the maximum value of the gravity anomaly is 133.4mGal, the minimum value is -32.4mGal, and the average value is 14.81mGal. Since the research group expects to use 6 to 8 GNSS-R altimetry constellations to invert the high spatial resolution marine gravity reference map, and then realize high-precision underwater gravity matching navigation, the present invention converts the data into a grid through Matlab interpolation calculation. The network resolution is 100×100m for verification.

以研究区域100×100m格网分辨率的二维/三维海底地形基准图和研究区域100×100m格网分辨率的二维/三维重力异常基准图为例,东部及东南部重力场起伏剧烈,而西北部重力场变化较平缓。由于地球并非密度均衡球体,介质密度的不均衡性导致地形与重力值并非一一对应。二维/三维海底地形基准图中海底地形特征显著,山峰、山脊、峡谷等棱角突变特征明显;二维/三维重力异常基准图中重力场呈连续性分布,空间分布变化平滑。因此,分层邻域阈值搜索法更适用于水下重力匹配导航研究。Taking the 2D/3D submarine topographic reference map with a grid resolution of 100×100m in the study area and the 2D/3D gravity anomaly reference map with a grid resolution of 100×100m in the study area as examples, the gravity field in the east and southeast fluctuates violently. While the gravity field in the northwest changes more smoothly. Because the earth is not a sphere with uniform density, the unevenness of medium density leads to a non-one-to-one correspondence between terrain and gravity. In the 2D/3D seabed topography reference map, the seabed topographic features are prominent, and the sharp edges and corners such as peaks, ridges, and canyons have obvious abrupt changes; the gravity field in the 2D/3D gravity anomaly reference map is continuously distributed, and the spatial distribution changes smoothly. Therefore, the hierarchical neighborhood threshold search method is more suitable for underwater gravity matching navigation research.

分层邻域阈值搜索法的特点是有利于提高匹配点的选点标准加快搜索匹配速度,可在保证Tercom算法定位精度前提下较大程度提高匹配效率。本发明验证如下:将上述重力异常基准图数据从左到右分成4块,每块大小为1°×1°。The feature of the hierarchical neighborhood threshold search method is that it is beneficial to improve the selection criteria of matching points to speed up the search and matching speed, and can greatly improve the matching efficiency under the premise of ensuring the positioning accuracy of the Tercom algorithm. The verification of the present invention is as follows: divide the data of the gravity anomaly reference map into 4 blocks from left to right, each block is 1°×1° in size.

重力场特征参数主要包括重力场标准差、坡度标准差、峰度系数、粗燥度、信息熵等。重力场标准差反映了重力场的起伏变化;重力场坡度标准差表示重力场变化的速率;峰度系数用来度量数据在中心的聚集程度,可反映频数分布曲线顶端尖峭或扁平的程度;粗糙度反映了整个区域重力场的平均光滑程度和局部起伏;信息熵用来评价重力区域信息量的丰富程度。重力场标准差越大、坡度标准差越大、粗燥度越大、信息熵越小,则信息越丰富,越有利于匹配。据4个区域重力场特征统计信息可知:首先,基准三的重力场标准差、坡度标准差和粗燥度最大,说明此区域更不平坦且重力场变化更快;其次,基准三的信息熵最小,说明此区域重力异常特征信息更丰富和更复杂;最后,基准三的峰度系数最小,由于正态分布情况下的峰度系数值为3,如果峰度系数大于3,则说明观测量更集中,有比正态分布更短的尾部;当峰度系数小于3,则说明观测量不太集中,更有利于匹配。因此,综合各特征参数判断,选择基准三适配性较好。Gravity field characteristic parameters mainly include gravity field standard deviation, slope standard deviation, kurtosis coefficient, roughness, information entropy, etc. The standard deviation of the gravity field reflects the ups and downs of the gravity field; the standard deviation of the gradient of the gravity field indicates the rate of change of the gravity field; the kurtosis coefficient is used to measure the degree of data aggregation in the center, which can reflect the sharpness or flatness of the top of the frequency distribution curve; Roughness reflects the average smoothness and local undulations of the gravity field in the entire region; information entropy is used to evaluate the richness of information in the gravity region. The larger the standard deviation of the gravity field, the larger the slope standard deviation, the larger the roughness, and the smaller the information entropy, the richer the information and the more conducive to matching. According to the statistical information of the gravity field characteristics of the four regions: First, the standard deviation of the gravity field, the standard deviation of the slope and the roughness of the benchmark three are the largest, indicating that this area is more uneven and the gravity field changes faster; second, the information entropy of the benchmark three is the smallest, indicating that the characteristic information of the gravity anomaly in this area is richer and more complex; finally, the kurtosis coefficient of benchmark 3 is the smallest, because the kurtosis coefficient value in the case of normal distribution is 3, if the kurtosis coefficient is greater than 3, it means that the observed quantity It is more concentrated and has a shorter tail than the normal distribution; when the kurtosis coefficient is less than 3, it means that the observations are less concentrated and more conducive to matching. Therefore, based on the judgment of various characteristic parameters, the selection criterion three has better adaptability.

格网间隔数、邻域大小、阈值均为定位精度和定位时间的重要影响因素。阈值可取4σ(σ为重力仪实测数据与基准图数据差值的标准差,4σ约为99.99%)。由于格网间隔数和邻域大小对定位精度和定位时间的影响相反(随着格网间隔数增大,定位精度将降低,定位时间将减小;而随着邻域增大,定位精度将提高,定位时间将增大),因而从定位精度与定位时间角度考虑,本发明对分层邻域阈值搜索法格网间隔数与邻域大小的优选进行了数值模拟和分析讨论。Tercom数值模拟参数设置如下:陀螺仪常值漂移0.01°/h、加速度计常值零偏10-3m/s2(惯导均方根误差服从正态分布)、航速10m/s、航向北偏东70°、初始位置误差0、速度误差0.03m/s、航向误差0.05°、重力仪实时测量数据是真实航迹在重力异常基准数据库中的采样值叠加标准差为1mGal的随机噪声(阈值取为4mGal)、采样点数220个、采样周期20s。The number of grid intervals, the size of the neighborhood, and the threshold are all important factors affecting the positioning accuracy and positioning time. The threshold value can be 4σ (σ is the standard deviation of the difference between the measured data of the gravimeter and the data of the reference map, and 4σ is about 99.99%). Since the number of grid intervals and the size of the neighborhood have opposite effects on the positioning accuracy and positioning time (as the number of grid intervals increases, the positioning accuracy will decrease, and the positioning time will decrease; and as the neighborhood increases, the positioning accuracy will decrease increase, the positioning time will increase), so from the perspective of positioning accuracy and positioning time, the present invention performs numerical simulation, analysis and discussion on the optimization of the number of grid intervals and the size of the neighborhood in the hierarchical neighborhood threshold search method. Tercom numerical simulation parameters are set as follows: gyroscope constant value drift 0.01°/h, accelerometer constant value zero deviation 10 -3 m/s 2 (RMS error of inertial navigation obeys normal distribution), speed 10m/s, heading north 70° east, initial position error 0, velocity error 0.03m/s, heading error 0.05°, the real-time measurement data of the gravimeter is random noise with a standard deviation of 1mGal superimposed on the sampling value of the real track in the gravity anomaly reference database (threshold Take it as 4mGal), the number of sampling points is 220, and the sampling period is 20s.

为验证分层邻域阈值搜索算法的稳定性,本发明在相同条件下进行了80次计算,分别在以不同格网间隔数(3个格网、4个格网、5个格网、6个格网)和邻域(8邻域、24邻域)两两组合的情况下对定位精度及效率进行了数值计算,如图3所示。其中,图3(a)、3(b)、3(c)和3(d)中的左图表示不同格网间隔数和邻域情况下算法定位精度。据图3可知,在邻域相同时,随着格网间隔数增大,算法平均定位精度明显降低;在格网间隔数相同时,24邻域情况下的平均定位精度明显高于8邻域。图3(a)、3(b)、3(c)和3(d)中的的右图表示不同格网间隔数和邻域情况下算法定位时间(定位时间由基准图加载、绘图、搜索匹配等时间组成)。据图3可知,传统Tercom算法平均单次定位用时31.79s,其中基准图加载、绘图等用时20.04s,搜索匹配用时11.75s,且各次用时较分散;而在相同条件下,本发明所提不同格网间隔数(3个格网、4个格网、5个格网、6个格网)和邻域(8邻域、24邻域)两两组合的8种情况下算法单次定位用时处于20~22s之间,则说明去掉基准图加载、绘图等公共时间,搜索匹配用时小于2s,因此快速提高了匹配效率。In order to verify the stability of the hierarchical neighborhood threshold search algorithm, the present invention has carried out 80 calculations under the same conditions, with different grid intervals (3 grids, 4 grids, 5 grids, 6 grids, etc.) respectively. Grids) and neighborhoods (8 neighborhoods, 24 neighborhoods) are combined in pairs to numerically calculate the positioning accuracy and efficiency, as shown in Figure 3. Among them, the left graphs in Figures 3(a), 3(b), 3(c) and 3(d) show the positioning accuracy of the algorithm under different grid intervals and neighborhoods. It can be seen from Figure 3 that when the neighborhoods are the same, the average positioning accuracy of the algorithm decreases significantly as the number of grid intervals increases; when the number of grid intervals is the same, the average positioning accuracy of the 24-neighborhood case is significantly higher than that of the 8-neighborhood . The right graphs in Figures 3(a), 3(b), 3(c) and 3(d) show the positioning time of the algorithm under different grid intervals and neighborhoods (the positioning time is determined by loading, drawing, searching matching time components). According to Fig. 3, it can be seen that the traditional Tercom algorithm takes an average of 31.79s for a single positioning, of which 20.04s is used for loading and drawing the reference map, and 11.75s is used for searching and matching, and each time is scattered; and under the same conditions, the proposed method of the present invention Algorithm single positioning in 8 cases of pairwise combinations of different grid intervals (3 grids, 4 grids, 5 grids, 6 grids) and neighborhoods (8 neighborhoods, 24 neighborhoods) If the time is between 20 and 22s, it means that the search and matching time is less than 2s after removing the common time such as loading and drawing the reference map, so the matching efficiency is rapidly improved.

据图4可知,基于80次匹配定位计算,传统Tercom算法平均定位精度为87.94m、定位精度标准差为50.66m、定位时间为31.79s、搜索匹配时间为11.75s。上述研究结果表明了提高海洋重力基准图空间分辨率对改善水下导航精度的重要性,若本课题组预期完成6~8颗GNSS-R测高卫星星座反演高空间分辨率的重力基准图,便有望实现水下重力匹配导航百米级定位精度。据图4(a)和4(b)可知,随格网间隔数增加,在8邻域情况下,其平均定位精度和定位精度标准差都有明显降低趋势,当选择3格网间隔时,其平均定位精度降低0.99m,定位精度标准差降低0.16m;但选择6格网间隔时,其平均定位精度降低74.09m,定位精度标准差降低30.45m。然而在24邻域情况下,其平均定位精度和定位精度标准差虽然亦有降低趋势,但其降低幅度较小,当选择3格网和4格网间隔时,其平均定位精度(87.94m)和定位精度标准差(50.66m)与传统Tercom算法结果一致;选择6格网间隔时,其平均定位精度也仅降低了8.61m,定位精度标准差降低5.05m。因此,如图4(c)所示,在24邻域情况下,选择3格网和4格网间隔均可达到与传统Tercom算法100%的匹配重合率,即可保持定位精度一致。80次匹配定位计算,传统Tercom算法单次平均搜索匹配时间为11.75s。随着格网间隔数增加,其定位时间呈减小趋势,8邻域情况下的定位时间略优于24邻域,但选择8邻域情况时不能保持传统Tercom算法定位精度,因而选择24邻域。当选择24邻域时,3格网间隔单次搜索匹配时间为1.40s,较相同条件下的传统Tercom算法单次搜索匹配效率提高8.48倍;然而4格网间隔单次搜索匹配时间为0.83s,比在相同条件下的传统Tercom算法单次搜索匹配时间缩短10.92s,匹配效率提高约14.14倍。As can be seen from Figure 4, based on 80 matching positioning calculations, the average positioning accuracy of the traditional Tercom algorithm is 87.94m, the standard deviation of positioning accuracy is 50.66m, the positioning time is 31.79s, and the search and matching time is 11.75s. The above research results show the importance of improving the spatial resolution of the marine gravity reference map to improve the accuracy of underwater navigation. , it is expected to achieve 100-meter-level positioning accuracy of underwater gravity matching navigation. According to Figure 4(a) and 4(b), as the number of grid intervals increases, in the case of 8 neighborhoods, the average positioning accuracy and the standard deviation of positioning accuracy have a tendency to decrease significantly. When 3 grid intervals are selected, The average positioning accuracy is reduced by 0.99m, and the standard deviation of positioning accuracy is reduced by 0.16m; but when the 6-grid interval is selected, the average positioning accuracy is reduced by 74.09m, and the standard deviation of positioning accuracy is reduced by 30.45m. However, in the case of 24 neighborhoods, although the average positioning accuracy and the standard deviation of positioning accuracy also have a downward trend, the reduction is relatively small. When the interval of 3 grids and 4 grids is selected, the average positioning accuracy (87.94m) And the standard deviation of positioning accuracy (50.66m) is consistent with the results of the traditional Tercom algorithm; when the 6-grid interval is selected, the average positioning accuracy is only reduced by 8.61m, and the standard deviation of positioning accuracy is reduced by 5.05m. Therefore, as shown in Figure 4(c), in the case of 24 neighborhoods, choosing 3-grid and 4-grid intervals can achieve a 100% matching coincidence rate with the traditional Tercom algorithm, which can keep the positioning accuracy consistent. 80 matching positioning calculations, the average single search and matching time of the traditional Tercom algorithm is 11.75s. As the number of grid intervals increases, the positioning time tends to decrease, and the positioning time in the case of 8 neighborhoods is slightly better than that of 24 neighborhoods, but the positioning accuracy of the traditional Tercom algorithm cannot be maintained when the 8 neighborhoods are selected, so the 24 neighborhoods are selected. area. When 24 neighborhoods are selected, the single search matching time of 3 grid intervals is 1.40s, which is 8.48 times higher than the single search matching efficiency of the traditional Tercom algorithm under the same conditions; however, the single search matching time of 4 grid intervals is 0.83s , which is 10.92s shorter than the single search matching time of the traditional Tercom algorithm under the same conditions, and the matching efficiency is increased by about 14.14 times.

可见,以本实施例参数设置为例,本发明分层邻域阈值搜索法与传统Tercom法相比,可在保证定位精度基础上有效提高匹配效率约14.14倍。本发明仅计算了短时间水下导航匹配效率提高情况,根据INS误差随时间积累特性,若运行时间延长,INS误差估计的搜索范围将持续增大;同时采样点次数增加,均可增大传统Tercom算法的搜索匹配时间。因此,分层邻域阈值搜索法可使单次搜索匹配时间至少缩短10.92s。It can be seen that, taking the parameter setting of this embodiment as an example, compared with the traditional Tercom method, the layered neighborhood threshold search method of the present invention can effectively improve the matching efficiency by about 14.14 times on the basis of ensuring the positioning accuracy. The present invention only calculates the short-term improvement of underwater navigation matching efficiency. According to the characteristics of INS error accumulation over time, if the running time is prolonged, the search range of INS error estimation will continue to increase; at the same time, the number of sampling points increases, which can increase the traditional Search matching time for the Tercom algorithm. Therefore, the hierarchical neighborhood threshold search method can shorten the matching time of a single search by at least 10.92s.

综上所述,由于传统Tercom算法匹配效率较低,因而提出了新型分层邻域阈值搜索法。优点:以较大网格间隔数进行粗搜索匹配,并设置阈值且对选取的每个粗搜索行最佳匹配点周围的若干邻域点进行匹配比较,获得每个粗搜索行附近范围内临时最佳匹配点,最终对获取的所有临时最佳匹配点进行比较,进而得到整个搜索范围内最佳匹配点。To sum up, due to the low matching efficiency of the traditional Tercom algorithm, a novel hierarchical neighborhood threshold search method is proposed. Advantages: Rough search matching is performed with a large number of grid intervals, and a threshold is set and a number of neighborhood points around the selected best matching point of each rough search row are matched and compared to obtain temporary data within the vicinity of each rough search row. The best matching point is finally compared with all the obtained temporary best matching points, and then the best matching point in the entire search range is obtained.

其次,基于新型分层邻域阈值搜索法,以本发明实施例参数设置为例,结果表明:①在格网间隔数相同时,24邻域情况下的平均定位精度明显高于8邻域。当选择3格网和4格网间隔时,其平均定位精度(87.94m)与传统Tercom算法定位精度一致。②在邻域相同时,随着格网间隔数增大,其平均定位精度呈降低趋势,8邻域情况下的降低变化率显著大于24邻域。当选择8邻域时,3格网间隔定位精度降低0.99m,但6格网间隔定位精度降低74.09m。然而,当选择24邻域时,3格网和4格网间隔定位精度均未降低,6格网间隔仅降低8.61m。③当采用4格网、24邻域和4mGal阈值参数,在保证定位精度前提下,单次搜索匹配时间由11.75s减少到0.83s,匹配效率提高约14.14倍。因此,分层邻域阈值搜索法有利于提高天空海一体化水下潜器惯性/重力组合导航的匹配效率。Secondly, based on the new hierarchical neighborhood threshold search method, taking the parameter setting of the embodiment of the present invention as an example, the results show that: ① When the number of grid intervals is the same, the average positioning accuracy in the case of 24 neighborhoods is significantly higher than that of 8 neighborhoods. When 3-grid and 4-grid intervals are selected, the average positioning accuracy (87.94m) is consistent with the positioning accuracy of the traditional Tercom algorithm. ②When the neighborhoods are the same, as the number of grid intervals increases, the average positioning accuracy tends to decrease, and the rate of change in the case of 8 neighborhoods is significantly greater than that of 24 neighborhoods. When the 8-neighborhood is selected, the positioning accuracy of the 3-grid interval is reduced by 0.99m, but the positioning accuracy of the 6-grid interval is reduced by 74.09m. However, when 24 neighborhoods are selected, neither the 3-grid nor 4-grid interval positioning accuracy is reduced, and the 6-grid interval is only reduced by 8.61m. ③ When using 4 grids, 24 neighborhoods and 4mGal threshold parameters, under the premise of ensuring the positioning accuracy, the single search and matching time is reduced from 11.75s to 0.83s, and the matching efficiency is increased by about 14.14 times. Therefore, the hierarchical neighborhood threshold search method is beneficial to improve the matching efficiency of the inertial/gravity integrated navigation of the sky-sea integrated underwater vehicle.

此外,全球海洋重力基准图空间分辨率提高是目前实现高精度水下重力匹配导航的关键因素。因此,本发明数值计算以100×100m格网分辨率数据为例,基于传统Tercom算法得到平均定位精度优于百米(87.94m)。其为本课题组将来设计6~8颗GNSS-R测高卫星星座,进而实现百米级水下重力匹配导航精度提供理论支持和方法保证。In addition, the improvement of the spatial resolution of the global ocean gravity reference map is a key factor for realizing high-precision underwater gravity matching navigation. Therefore, the numerical calculation of the present invention takes 100×100m grid resolution data as an example, and the average positioning accuracy obtained based on the traditional Tercom algorithm is better than 100 meters (87.94m). It provides theoretical support and method guarantee for the research group to design 6-8 GNSS-R altimetry satellite constellations in the future, and then realize the 100-meter-level underwater gravity matching navigation accuracy.

在本发明实施例中,还公开了一种天空海一体化水下潜器惯性/重力组合导航系统,包括:粗搜索模块,用于在确定的搜索范围内,以设定网格间隔数进行粗搜索匹配,得到粗搜索最佳匹配点;筛选模块,用于根据设置阈值,对粗搜索最佳匹配点周围的若干邻域点进行匹配比较,获得各粗搜索最佳匹配点对应的粗搜索临时最佳匹配点;比较模块,对各粗搜索临时最佳匹配点进行比较,得到整个搜索范围内的最佳匹配点;输出模块,用于将所述最佳匹配点作为导航结果输出。In the embodiment of the present invention, a sky-sea integrated underwater submersible inertial/gravity integrated navigation system is also disclosed, including: a rough search module, which is used to perform a search at a set grid interval within a determined search range. Coarse search matching to obtain the rough search best matching point; the screening module is used to match and compare several neighborhood points around the rough search best matching point according to the set threshold, and obtain the rough search corresponding to each rough search best matching point a temporary best matching point; a comparison module, which compares each rough search temporary best matching point to obtain the best matching point in the entire search range; an output module, which is used to output the best matching point as a navigation result.

对于系统实施例而言,由于其与方法实施例相对应,所以描述的比较简单,相关之处参见方法实施例部分的说明即可。As for the system embodiment, since it corresponds to the method embodiment, the description is relatively simple, and for the related parts, please refer to the description of the method embodiment.

本说明中的各个实施例均采用递进的方式描述,每个实施例重点说明的都是与其他实施例的不同之处,各个实施例之间相同相似的部分互相参见即可。Each embodiment in this specification is described in a progressive manner, each embodiment focuses on the difference from other embodiments, and the same and similar parts of each embodiment can be referred to each other.

以上所述,仅为本发明最佳的具体实施方式,但本发明的保护范围并不局限于此,任何熟悉本技术领域的技术人员在本发明揭露的技术范围内,可轻易想到的变化或替换,都应涵盖在本发明的保护范围之内。The above description is only the best specific implementation mode of the present invention, but the scope of protection of the present invention is not limited thereto. Any person skilled in the art can easily conceive of changes or modifications within the technical scope disclosed in the present invention. Replacement should be covered within the protection scope of the present invention.

本发明说明书中未作详细描述的内容属于本领域专业技术人员的公知技术。The content that is not described in detail in the specification of the present invention belongs to the well-known technology of those skilled in the art.

Claims (7)

1. a kind of sky sea integrated water diving device inertia/gravity Combinated navigation method, which is characterized in that including:
In determining search range, coarse search matching is carried out to set grid interval number, obtains coarse search optimal match point;
According to setting threshold value, matching comparison is carried out to several neighborhood points around coarse search optimal match point, obtains each coarse search The interim optimal match point of coarse search corresponding to optimal match point;
The interim optimal match point of each coarse search is compared, the optimal match point in entire search range is obtained;
It is exported the optimal match point as navigation results.
2. integrated water diving device inertia/gravity Combinated navigation method in sky sea according to claim 1, feature exist In further including:
Determine the location information and the corresponding INS evaluated error of the location information of current time INS output;
The corresponding INS evaluated error with the location information according to the positional information determines search model in gravity datum figure It encloses.
3. integrated water diving device inertia/gravity Combinated navigation method in sky sea according to claim 2, feature exist In the corresponding INS evaluated error with the location information according to the positional information determines search in gravity datum figure Range, including:
Using position indicated by the location information as the center of circle, using the multiple of the INS evaluated error as radius, in gravity datum Search range is determined in figure.
4. integrated water diving device inertia/gravity Combinated navigation method in sky sea according to claim 3, feature exist In, the gravity datum figure, including:Row and column;Wherein, row indicates that latitude, column indicate longitude.
5. integrated water diving device inertia/gravity Combinated navigation method in sky sea according to claim 4, feature exist In, it is described in determining search range, coarse search matching is carried out to set grid interval number, obtains coarse search best match Point, including:
In determining search range, it is spaced according to the first setting, selects at least one coarse search row;
According to terrain contour matching method, to each coarse search row, coarse search is carried out according to the second setting interval, obtains each coarse search row Optimal match point.
6. integrated water diving device inertia/gravity Combinated navigation method in sky sea according to claim 5, feature exist In, it is described according to setting threshold value, matching comparison is carried out to several neighborhood points around coarse search optimal match point, acquisition is each slightly to search The interim optimal match point of coarse search corresponding to rope optimal match point, including:
According to setting threshold value, matching comparison is carried out to several neighborhood points around the optimal match point of each coarse search row, is obtained every Interim optimal match point in a coarse search row environs, as the interim optimal match point of coarse search.
7. a kind of sky sea integrated water diving device inertia/gravity integrated navigation system, which is characterized in that including:
Coarse search module, for carrying out coarse search matching to set grid interval number, slightly being searched in determining search range Rope optimal match point;
Screening module, for carrying out matching comparison to several neighborhood points around coarse search optimal match point according to setting threshold value, Obtain the interim optimal match point of coarse search corresponding to each coarse search optimal match point;
Comparison module is compared the interim optimal match point of each coarse search, obtains the optimal match point in entire search range;
Output module, for being exported the optimal match point as navigation results.
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