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CN111256695B - Combined indoor positioning method of UWB/INS based on particle filter algorithm - Google Patents

Combined indoor positioning method of UWB/INS based on particle filter algorithm Download PDF

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CN111256695B
CN111256695B CN202010034636.3A CN202010034636A CN111256695B CN 111256695 B CN111256695 B CN 111256695B CN 202010034636 A CN202010034636 A CN 202010034636A CN 111256695 B CN111256695 B CN 111256695B
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CN111256695A (en
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唐普英
顾灵茹
刘平
邓佳坤
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University of Electronic Science and Technology of China
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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
    • G01C21/20Instruments for performing navigational calculations
    • G01C21/206Instruments for performing navigational calculations specially adapted for indoor navigation
    • 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
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
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    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

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Abstract

The invention relates to a UWB/INS combined indoor positioning method based on a particle filter algorithm. Aiming at the condition that a UWB (ultra wide band) ranging result is easily interfered by a complex environment to influence the positioning precision in a non-line-of-sight environment, a UWB/INS combined indoor positioning method based on a particle filter algorithm is provided. The distance from a person to be positioned to each reference base station is obtained through a UWB system, and the east direction position and the north direction position of the person are calculated through a UWB position calculating unit. Three-axis acceleration, three-axis angular velocity and three-axis magnetic field intensity of a person in a walking process are obtained through an Inertial Navigation System (INS), and a step length, an eastern walking speed, a northern walking speed, a walking time and an attitude angle of the person in the walking process are calculated through an INS resolving unit. And performing data fusion on the calculation result of the UWB system and the calculation result of the INS system through a particle filter algorithm. Finally, the purposes of reducing the influence of a non-line-of-sight complex environment and improving the positioning precision are achieved.

Description

基于粒子滤波算法的UWB/INS组合室内定位方法Combined indoor positioning method of UWB/INS based on particle filter algorithm

技术领域technical field

本发明涉及室内定位技术领域,尤其涉及基于粒子滤波算法的UWB/INS组合室内定位方法。The invention relates to the technical field of indoor positioning, in particular to a UWB/INS combined indoor positioning method based on a particle filter algorithm.

背景技术Background technique

在GPS卫星导航定位技术已经发展得较为完善的今天,因室内环境、地下环境较为封闭和复杂的环境特点,GPS技术在室内以及地下难以做到精确的跟踪定位。由此,室内定位技术应运而生。Today, when GPS satellite navigation and positioning technology has been developed relatively well, due to the relatively closed and complex environmental characteristics of indoor environment and underground environment, GPS technology is difficult to achieve accurate tracking and positioning indoors and underground. As a result, indoor positioning technology came into being.

在各种室内定位方案中,大多集中在对单一定位技术的研究。相对较好的无线定位技术是UWB室内定位技术,但UWB定位容易受环境的影响。若室内环境空旷,没有障碍物的干扰,即视距环境下,UWB定位精度较高;当室内环境复杂时,即非视距环境下,UWB信号受多径效应影响,导致对目标无法进行准确连续定位。Among various indoor positioning schemes, most of them focus on the research of a single positioning technology. A relatively good wireless positioning technology is UWB indoor positioning technology, but UWB positioning is easily affected by the environment. If the indoor environment is open and there is no interference from obstacles, that is, the line-of-sight environment, the UWB positioning accuracy is high; when the indoor environment is complex, that is, the non-line-of-sight environment, the UWB signal is affected by the multipath effect, resulting in the inability to accurately locate the target. Continuous positioning.

INS定位技术因不易受环境影响,可以对目标连续定位跟踪。但INS定位技术有累积误差的存在,需要对其进行不间断的位置修正。Because the INS positioning technology is not easily affected by the environment, it can continuously locate and track the target. However, the INS positioning technology has accumulated errors, which requires continuous position correction.

基于UWB/INS的室内定位技术既可以提高系统的平均定位精度又可以实现对目标长时间的连续定位跟踪。The indoor positioning technology based on UWB/INS can not only improve the average positioning accuracy of the system, but also realize the continuous positioning and tracking of the target for a long time.

发明内容SUMMARY OF THE INVENTION

本发明提出基于粒子滤波算法的UWB/INS组合室内定位方法,目的在于解决非视距复杂环境导致定位系统定位精度不高的技术问题。The present invention proposes a UWB/INS combined indoor positioning method based on a particle filter algorithm, which aims to solve the technical problem of low positioning accuracy of the positioning system caused by complex non-line-of-sight environments.

本发明的技术方案是:基于粒子滤波算法的UWB/INS组合室内定位方法。包括:The technical scheme of the present invention is: a UWB/INS combined indoor positioning method based on a particle filter algorithm. include:

通过UWB系统获取待定位人员到各参考基站的距离,通过UWB位置解算单元计算出人员的东方向位置和北方向位置。The distance from the person to be located to each reference base station is obtained through the UWB system, and the east and north positions of the person are calculated through the UWB position calculation unit.

通过INS系统获取人员在行走过程中的三轴加速度、三轴角速度、以及三轴磁场强度,通过INS解算单元计算出人员行进时的步长、东方向步速、北方向步速、迈步时间以及姿态角。The three-axis acceleration, three-axis angular velocity, and three-axis magnetic field strength of the person during the walking process are obtained through the INS system, and the step length, east-direction pace, north-direction pace, and step time are calculated by the INS solution unit. and attitude angle.

以UWB系统计算得到的东方向位置和北方向位置、INS系统计算得到的东方向步速、北方向步速作为状态向量,以INS系统计算得到的步长和姿态角作为观测向量,构建粒子滤波模型。The particle filter is constructed using the east and north positions calculated by the UWB system and the east and north pace calculated by the INS system as state vectors, and the step length and attitude angle calculated by the INS system as the observation vectors. Model.

进行粒子滤波处理,得到当前时刻最佳的室内人员位置信息。Particle filtering is performed to obtain the best indoor personnel position information at the current moment.

进一步地,所述的粒子滤波器的状态方程为:Further, the state equation of the particle filter is:

Figure BDA0002365558520000021
Figure BDA0002365558520000021

其中,[E(k+1) N(k+1) VE(k+1) VN(k+1)]和where [E(k+1) N(k+1) V E (k+1) V N (k+1)] and

[E(k) N(k) VE(k) VN(k)]分别是k+1时刻和k时刻UWB系统与INS系统计算得到的东方向位置、北方向位置、东方向步速、北方向步速,T(k)是k时刻人员的迈步时间,ω(k)是k时刻的系统噪声。[E(k) N(k) V E (k) V N (k)] are the east position, north position, east pace, The pace in the north direction, T(k) is the stepping time of the person at time k, and ω(k) is the system noise at time k.

进一步地,所述的粒子滤波器的观测方程为:Further, the observation equation of the particle filter is:

Figure BDA0002365558520000022
Figure BDA0002365558520000022

Figure BDA0002365558520000023
Figure BDA0002365558520000023

Figure BDA0002365558520000024
Figure BDA0002365558520000024

h3=1/VE(k)h 3 =1/ VE (k)

其中,[E(k) N(k) S(k) Y(k)]是k时刻UWB系统与INS系统计算得到的东方向位置、北方向位置、步长和姿态角,[E(k) N(k) VE(k) VN(k)]是k时刻UWB系统与INS系统计算得到的东方向位置、北方向位置、东方向步速、北方向步速,γ(k)是k时刻的系统观测噪声。Among them, [E(k) N(k) S(k) Y(k)] is the east position, north position, step length and attitude angle calculated by the UWB system and the INS system at time k, [E(k) N(k) V E (k) V N (k)] is the east position, north position, east pace, and north pace calculated by the UWB system and the INS system at time k, γ(k) is k System observation noise at time.

进一步地,建立粒子滤波模型,执行粒子滤波算法对数据进行处理,具体为:Further, a particle filter model is established, and a particle filter algorithm is executed to process the data, specifically:

初始化:从先验分布中抽取初始化状态

Figure BDA0002365558520000025
是第0个采样点的第i个粒子的状态量。Initialization: sample initialization states from the prior distribution
Figure BDA0002365558520000025
is the state quantity of the ith particle at the 0th sampling point.

粒子集合采样:

Figure BDA0002365558520000026
Zk为第1到第k个采样点的观测量。Particle collection sampling:
Figure BDA0002365558520000026
Z k is the observation amount of the 1st to kth sampling points.

计算粒子重要性权值:

Figure BDA0002365558520000027
Calculate particle importance weights:
Figure BDA0002365558520000027

归一化权重:

Figure BDA0002365558520000031
其中N是粒子滤波器的粒子数目。Normalized weights:
Figure BDA0002365558520000031
where N is the number of particles in the particle filter.

选择重采样:根据归一化权值

Figure BDA0002365558520000032
的大小,对粒子集合
Figure BDA0002365558520000033
进行复制和淘汰。并重新设置权重
Figure BDA0002365558520000034
Select resampling: according to normalized weights
Figure BDA0002365558520000032
the size of the particle set
Figure BDA0002365558520000033
Duplication and elimination. and reset the weights
Figure BDA0002365558520000034

输出:粒子滤波器输出一组样本点,近似表示成后验分布:Output: The particle filter outputs a set of sample points, approximated as a posterior distribution:

Figure BDA0002365558520000035
Figure BDA0002365558520000035

Xk=∫Xkp(X0:k|Z1:k)dX0:k X k =∫X k p(X 0:k |Z 1:k )dX 0:k

最终得到k时刻最佳的室内人员位置估计。Finally, the best indoor personnel position estimation at time k is obtained.

本发明的有益效果:通过使用粒子滤波算法将UWB系统和INS系统各自计算得到的结果进行数据融合,降低非视距复杂环境对于组合定位系统的定位精度的影响,得到最佳的室内人员位置估计。可用于室内高精度人员定位。The beneficial effects of the invention are: by using the particle filter algorithm to fuse the results obtained by the UWB system and the INS system, the influence of the complex non-line-of-sight environment on the positioning accuracy of the combined positioning system is reduced, and the best indoor personnel position estimation is obtained. . It can be used for indoor high-precision personnel positioning.

附图说明Description of drawings

图1为UWB/INS组合室内定位系统示意图;Figure 1 is a schematic diagram of the UWB/INS combined indoor positioning system;

图2为基于粒子滤波算法的UWB/INS组合室内定位方法示意图。Figure 2 is a schematic diagram of a combined UWB/INS indoor positioning method based on a particle filter algorithm.

具体实施方式Detailed ways

下面结合附图及具体实施对本发明进行进一步的描述:The present invention is further described below in conjunction with accompanying drawing and specific implementation:

基于粒子滤波算法的UWB/INS组合室内定位方法,包括:UWB/INS combined indoor positioning method based on particle filter algorithm, including:

预先在室内进行UWB基站布置,将UWB标签固定在人员身上,将INS传感器固定在人员的脚尖,再开展下列步骤:Arrange the UWB base station indoors in advance, fix the UWB tag on the person, fix the INS sensor on the person's toes, and then carry out the following steps:

步骤一:通过UWB系统获取待定位人员到各参考基站的距离,通过UWB位置解算单元计算出人员的东方向位置和北方向位置。Step 1: Obtain the distance from the person to be located to each reference base station through the UWB system, and calculate the east and north positions of the person through the UWB position calculation unit.

步骤二:通过INS系统获取人员在行走过程中的三轴加速度、三轴角速度、以及三轴磁场强度,通过INS解算单元计算出人员行进时的步长、东方向步速、北方向步速、迈步时间以及姿态角。Step 2: Obtain the three-axis acceleration, three-axis angular velocity, and three-axis magnetic field strength of the person during walking through the INS system, and use the INS solution unit to calculate the person's step length, east-direction pace, and north-direction pace. , stride time and attitude angle.

步骤三:以UWB系统计算得到的东方向位置和北方向位置、INS系统计算得到的东方向步速、北方向步速作为状态向量,以INS系统计算得到的步长和姿态角作为观测向量,构建粒子滤波模型。包括:Step 3: Take the east and north positions calculated by the UWB system, the east and north pace calculated by the INS system as the state vector, and the step length and the attitude angle calculated by the INS system as the observation vector, Build a particle filter model. include:

所述的粒子滤波器的状态方程为:The state equation of the particle filter is:

Figure BDA0002365558520000041
Figure BDA0002365558520000041

其中,[E(k+1) N(k+1) VE(k+1) VN(k+1)]和[E(k) N(k) VE(k) VN(k)]分别是k+1时刻和k时刻UWB系统与INS系统计算得到的东方向位置、北方向位置、东方向步速、北方向步速,T(k)是k时刻人员的迈步时间,ω(k)是k时刻的系统噪声。where [E(k+1) N(k+1) V E (k+1) V N (k+1)] and [E(k) N(k) V E (k) V N (k) ] are the east position, north position, east pace, and north pace calculated by the UWB system and the INS system at time k+1 and time k respectively, T(k) is the stepping time of the person at time k, ω( k) is the system noise at time k.

所述的粒子滤波器的观测方程为:The observation equation of the particle filter is:

Figure BDA0002365558520000042
Figure BDA0002365558520000042

Figure BDA0002365558520000043
Figure BDA0002365558520000043

Figure BDA0002365558520000044
Figure BDA0002365558520000044

h3=1/VE(k)h 3 =1/ VE (k)

其中,[E(k) N(k) S(k) Y(k)]是k时刻UWB系统与INS系统计算得到的东方向位置、北方向位置、步长和姿态角,[E(k) N(k) VE(k) VN(k)]是k时刻UWB系统与INS系统计算得到的东方向位置、北方向位置、东方向步速、北方向步速,γ(k)是k时刻的系统观测噪声。Among them, [E(k) N(k) S(k) Y(k)] is the east position, north position, step length and attitude angle calculated by the UWB system and the INS system at time k, [E(k) N(k) V E (k) V N (k)] is the east position, north position, east pace, and north pace calculated by the UWB system and the INS system at time k, γ(k) is k System observation noise at time.

步骤四:根据步骤三构建的粒子滤波模型进行粒子滤波处理,包括:Step 4: Perform particle filter processing according to the particle filter model constructed in Step 3, including:

初始化:从先验分布中抽取初始化状态

Figure BDA0002365558520000045
是第0个采样点的第i个粒子的状态量。Initialization: sample initialization states from the prior distribution
Figure BDA0002365558520000045
is the state quantity of the ith particle at the 0th sampling point.

粒子集合采样:

Figure BDA0002365558520000046
Zk为第1到第k个采样点的观测量。Particle collection sampling:
Figure BDA0002365558520000046
Z k is the observation amount of the 1st to kth sampling points.

计算粒子重要性权值:

Figure BDA0002365558520000047
Calculate particle importance weights:
Figure BDA0002365558520000047

归一化权重:

Figure BDA0002365558520000051
其中N是粒子滤波器的粒子数目。Normalized weights:
Figure BDA0002365558520000051
where N is the number of particles in the particle filter.

选择重采样:根据归一化权值

Figure BDA0002365558520000052
的大小,对粒子集合
Figure BDA0002365558520000053
进行复制和淘汰。并重新设置权重
Figure BDA0002365558520000054
Select resampling: according to normalized weights
Figure BDA0002365558520000052
the size of the particle set
Figure BDA0002365558520000053
Duplication and elimination. and reset the weights
Figure BDA0002365558520000054

输出:粒子滤波器输出一组样本点,近似表示成后验分布:Output: The particle filter outputs a set of sample points, approximated as a posterior distribution:

Figure BDA0002365558520000055
Figure BDA0002365558520000055

Xk=∫Xkp(X0:k|Z1:k)dX0:k X k =∫X k p(X 0:k |Z 1:k )dX 0:k

最终得到k时刻最佳的室内人员位置估计。Finally, the best indoor personnel position estimation at time k is obtained.

Claims (2)

1. The UWB/INS combined indoor positioning method based on the particle filter algorithm is characterized by comprising the following steps of:
the method comprises the following steps: acquiring the distance from a person to be positioned to each reference base station through a UWB system, and calculating the east position and the north position of the person through a UWB position calculating unit;
step two: acquiring three-axis acceleration, three-axis angular velocity and three-axis magnetic field intensity of a person in a walking process through an INS system, and calculating a step length, an eastern walking speed, a northern walking speed, a walking time and an attitude angle of the person in the walking process through an INS resolving unit;
step three: the east and north positions calculated by the UWB system and the east and north pace calculated by the INS system are used as state vectors, and the step length and attitude angle calculated by the INS system are used as observation vectors to construct a particle filter model;
the state equation of the particle filter model is:
Figure FDA0003766894630000011
wherein [ E (k +1) N (k +1) V E (k+1) V N (k+1)]And [ E (k) N (k) V E (k) V N (k)]The system comprises a UWB system, an INS system, a server and a server, wherein the UWB system and the INS system respectively calculate the east direction position, the north direction position, the east direction pace and the north direction pace at the moment k +1 and the moment k, T (k) is the step time of a person at the moment k, and omega (k) is system noise at the moment k;
the observation equation of the particle filter model is:
Figure FDA0003766894630000012
Figure FDA0003766894630000013
Figure FDA0003766894630000014
h 3 =1/V E (k)
wherein [ E (k) N (k) S (k) Y (k)]Is east direction position, north direction position, step length and attitude angle calculated by UWB system and INS system at time k, [ E (k) N (k) V E (k) V N (k)]The system comprises a UWB system and an INS system at the moment k, wherein the UWB system and the INS system calculate to obtain an east direction position, a north direction position, an east direction pace and a north direction pace, and gamma (k) is system observation noise at the moment k;
step four: and performing particle filtering processing to obtain the best indoor personnel position estimation at the current moment.
2. The UWB/INS combined indoor positioning method based on particle filter algorithm as claimed in claim 1, wherein the particle filter model is established, and the particle filter algorithm is executed to process data, specifically:
initialization: extracting initialization states from a prior distribution
Figure FDA0003766894630000021
Figure FDA0003766894630000022
The state quantity of the ith particle which is an initial sampling point;
sampling of a particle set:
Figure FDA0003766894630000023
Z 1:k for observation of the 1 st to k th sampling pointsAn amount;
calculating the importance weight of the particles:
Figure FDA0003766894630000024
normalization weight:
Figure FDA0003766894630000025
wherein N is the number of particles of the particle filter;
selecting resampling: according to the normalized weight
Figure FDA0003766894630000026
Size of (2) to the particle set
Figure FDA0003766894630000027
Copy and discard, and reset the weights
Figure FDA0003766894630000028
And (3) outputting: the particle filter outputs a set of sample points, approximately represented as a posterior distribution:
Figure FDA0003766894630000029
X k =∫X k p(X 0:k |Z 1:k )dX 0:k
and finally obtaining the best indoor personnel position estimation at the k moment.
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