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CN105752325B - Control Method for Airplane Antiskid Braking System based on brake torque feedback - Google Patents

Control Method for Airplane Antiskid Braking System based on brake torque feedback Download PDF

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Publication number
CN105752325B
CN105752325B CN201610160353.7A CN201610160353A CN105752325B CN 105752325 B CN105752325 B CN 105752325B CN 201610160353 A CN201610160353 A CN 201610160353A CN 105752325 B CN105752325 B CN 105752325B
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slip factor
slip
braking torque
binding force
aircraft
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CN105752325A (en
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焦宗夏
孙栋
尚耀星
刘晓超
孙晓辉
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Beihang University
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Beihang University
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B64AIRCRAFT; AVIATION; COSMONAUTICS
    • B64CAEROPLANES; HELICOPTERS
    • B64C25/00Alighting gear
    • B64C25/32Alighting gear characterised by elements which contact the ground or similar surface 
    • B64C25/42Arrangement or adaptation of brakes
    • B64C25/44Actuating mechanisms
    • B64C25/46Brake regulators for preventing skidding or aircraft somersaulting
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60TVEHICLE BRAKE CONTROL SYSTEMS OR PARTS THEREOF; BRAKE CONTROL SYSTEMS OR PARTS THEREOF, IN GENERAL; ARRANGEMENT OF BRAKING ELEMENTS ON VEHICLES IN GENERAL; PORTABLE DEVICES FOR PREVENTING UNWANTED MOVEMENT OF VEHICLES; VEHICLE MODIFICATIONS TO FACILITATE COOLING OF BRAKES
    • B60T8/00Arrangements for adjusting wheel-braking force to meet varying vehicular or ground-surface conditions, e.g. limiting or varying distribution of braking force
    • B60T8/17Using electrical or electronic regulation means to control braking
    • B60T8/1701Braking or traction control means specially adapted for particular types of vehicles
    • B60T8/1703Braking or traction control means specially adapted for particular types of vehicles for aircrafts

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  • Engineering & Computer Science (AREA)
  • Aviation & Aerospace Engineering (AREA)
  • Mechanical Engineering (AREA)
  • Transportation (AREA)
  • Regulating Braking Force (AREA)

Abstract

The application is related to a kind of Control Method for Airplane Antiskid Braking System based on brake torque feedback, including:Detect the brake torque of airplane wheel and the rotating speed of airplane wheel;The actual slip factor is determined based on brake torque and rotating speed;Compare the actual slip factor and sliding factor threshold;If the actual slip factor is equal to sliding factor threshold, the threshold value of the sliding factor is updated;And reduce brake torque so that the actual slip factor is less than the sliding factor threshold after updating.According to the scheme of the application, wheel can be avoided to skid, improve antiskid brake efficiency of the aircraft under complicated runway surface situation.

Description

基于刹车力矩反馈的飞机防滑刹车控制方法Aircraft antiskid braking control method based on braking torque feedback

技术领域technical field

本申请涉及航空技术领域,特别是一种基于刹车力矩反馈的飞机防滑刹车控制方法。The present application relates to the field of aviation technology, in particular to an aircraft anti-skid braking control method based on braking torque feedback.

背景技术Background technique

飞机的起飞和着陆是飞机事故的多发阶段。防滑刹车系统是飞机重要的机载设备,对飞机起飞、着陆的安全性有重要影响。要求能够在复杂的跑道环境条件下,飞机仍能够安全着陆并刹停,对提升飞机安全性和可靠性的有着重要的意义。The take-off and landing of an aircraft are the phases where aircraft accidents occur frequently. The anti-skid brake system is an important airborne equipment of the aircraft, which has an important impact on the safety of the aircraft take-off and landing. It is of great significance to improve the safety and reliability of aircraft to require that the aircraft can still land safely and stop under complex runway environmental conditions.

飞机防滑刹车系统是一个复杂的具有不确定性的非线性系统,系统中存在诸多非线性因素,直接影响到防滑刹车的性能。飞机着陆滑跑过程时间较短,因此要求防滑刹车系统稳定、快速和准确地工作,确保飞机的安全[2]。防滑刹车系统的性能受很多因素的影响,如跑道表面是否开槽、跑道表面的状况(干、湿或积雪等)、飞机速度的变化、轮胎的充气压力等。从本质上讲,这些因素影响的是飞机受刹机轮的轮胎与跑道表面的结合力和滚动阻力。防滑刹车系统的主要目的是充分利用跑道提供的结合力,在尽可能短的距离内使飞机刹停。Aircraft anti-skid braking system is a complex nonlinear system with uncertainty. There are many nonlinear factors in the system, which directly affect the performance of anti-skid braking. The landing and rolling process of the aircraft takes a short time, so the anti-skid braking system is required to work stably, quickly and accurately to ensure the safety of the aircraft [2]. The performance of the anti-skid braking system is affected by many factors, such as whether the runway surface is grooved, the condition of the runway surface (dry, wet or snow-covered, etc.), changes in aircraft speed, and tire inflation pressure. Essentially, these factors affect the bond and rolling resistance of the tires of the aircraft's braked wheels to the runway surface. The main purpose of the anti-skid braking system is to make full use of the binding force provided by the runway to stop the aircraft in the shortest possible distance.

跑道表面状况的变化对于飞机防滑刹车系统是较为严重的外部干扰。例如当机轮所处跑道表面结合系数由高变低时,机轮由于结合力矩急剧减小而发生打滑甚至抱死现象,这就要求防滑刹车控制盒及时作出响应,通过迅速降低刹车压力使得机转速度得以恢复。因此刹车控制算法对不同跑道表面状况的适应性以及在跑道表面状况发生变化时的鲁棒性直接影响防滑刹车效果。The change of the surface condition of the runway is a serious external disturbance to the aircraft anti-skid braking system. For example, when the combination coefficient of the surface of the runway where the wheel is located changes from high to low, the wheel slips or even locks up due to the sharp decrease in the combined torque. This requires the anti-skid brake control box to respond in time to make the machine The rotation speed is restored. Therefore, the adaptability of the braking control algorithm to different runway surface conditions and the robustness when the runway surface conditions change directly affect the anti-skid braking effect.

从已公开的飞机防滑刹车控制算法来看,目前主要依靠对飞机主机轮角速度或角加速度等的测量,配合估计得到的机体速度,根据预先给定的相对速度或滑移率等指标,使飞机按期望指标减速刹停。对于单一跑道表面状况,这类控制方法可以得到较好的防滑刹车效果。但由于不同跑道表面状态对应的指标不同,因而这类控制方法缺乏对跑道表面状态变化的适应性。Judging from the published aircraft anti-skid braking control algorithm, it mainly relies on the measurement of the angular velocity or angular acceleration of the main engine wheel of the aircraft at present, and cooperates with the estimated airframe speed to make the aircraft Slow down and stop according to the desired index. For a single runway surface condition, this type of control method can obtain better antiskid braking effect. However, due to the different indicators corresponding to different runway surface states, this kind of control method lacks the adaptability to the change of runway surface state.

发明内容Contents of the invention

在下文中给出关于本申请的简要概述,以便提供关于本申请的某些方面的基本理解。应当理解,这个概述并不是关于本申请的穷举性概述。它并不是意图确定本申请的关键或重要部分,也不是意图限定本申请的范围。其目的仅仅是以简化的形式给出某些概念,以此作为稍后论述的更详细描述的前序。A brief overview of the application is given below in order to provide a basic understanding of certain aspects of the application. It should be understood that this summary is not an exhaustive summary of the application. It is not intended to identify key or critical elements of the application, nor is it intended to limit the scope of the application. Its purpose is merely to present some concepts in a simplified form as a prelude to the more detailed description that is discussed later.

本申请的一个主要目的在于提供一种基于刹车力矩反馈的飞机防滑刹车控制方法,旨在解决如上的技术问题。A main purpose of the present application is to provide an aircraft anti-skid braking control method based on braking torque feedback, aiming to solve the above technical problems.

第一方面,本申请提供了一种基于刹车力矩反馈的飞机防滑刹车控制方法,包括:检测飞机机轮的刹车力矩和飞机机轮的转速;基于刹车力矩和转速确定实际滑移因子;比较实际滑移因子与滑移因子阈值;若实际滑移因子达到滑移因子阈值,则更新滑移因子的阈值;以及减小刹车力矩以使实际滑移因子小于更新后的滑移因子阈值。In the first aspect, the present application provides an aircraft anti-skid braking control method based on braking torque feedback, including: detecting the braking torque of the aircraft wheel and the rotational speed of the aircraft wheel; determining the actual slip factor based on the braking torque and the rotational speed; comparing the actual The slip factor and the slip factor threshold; if the actual slip factor reaches the slip factor threshold, update the slip factor threshold; and reduce the braking torque so that the actual slip factor is smaller than the updated slip factor threshold.

本申请的基于刹车力矩反馈的飞机防滑刹车控制方法,通过检测飞机机轮的刹车力矩和飞机机轮的转速确定实际滑移因子,基于实际滑移因子和滑移因子阈值的比较来不断更新滑移因子,以使机轮与跑道之间的结合力保持在结合力峰值附近,从而避免了机轮打滑,提高了飞机在复杂跑道表面状况下的防滑刹车效率。The aircraft anti-skid braking control method based on braking torque feedback of the present application determines the actual slip factor by detecting the braking torque of the aircraft wheel and the rotational speed of the aircraft wheel, and continuously updates the slip factor based on the comparison between the actual slip factor and the slip factor threshold. The shift factor is used to keep the binding force between the wheel and the runway near the peak value of the binding force, thereby avoiding the wheel slipping and improving the anti-skid braking efficiency of the aircraft under complex runway surface conditions.

在一些实施例中,本申请的基于刹车力矩反馈的飞机防滑刹车控制方法还在结合力Flm满足Flm<kadFslip时,增大刹车力矩,从而使飞机机轮远离附着区,提高了飞机在复杂跑道表面状况下的防滑刹车效率。In some embodiments, the aircraft anti-skid braking control method based on braking torque feedback of the present application also increases the braking torque when the combined force F lm meets F lm <k ad F slip , thereby keeping the aircraft wheel away from the adhesion area and improving The anti-skid braking efficiency of the aircraft under complex runway surface conditions.

在一些实施例中,本申请的基于刹车力矩反馈的飞机防滑刹车控制方法还在相邻两次更新后的结合力峰值之差ΔFslip未处于预设数值范围内时,重新更新结合力峰值,以使当跑道的结合系数发生改变时,可以相应地调整刹车力矩,以使结合力保持在结合力峰值的附近,提高飞机在复杂跑道表面状况下的防滑刹车效率。In some embodiments, the aircraft anti-skid braking control method based on braking torque feedback of the present application also re-updates the peak value of the combined force when the difference ΔF slip between two adjacent updated peak values of the combined force is not within the preset value range, So that when the combination coefficient of the runway changes, the braking torque can be adjusted accordingly, so that the combination force can be kept near the peak value of the combination force, and the anti-skid braking efficiency of the aircraft under complex runway surface conditions can be improved.

附图说明Description of drawings

参照下面结合附图对本申请实施例的说明,会更加容易地理解本申请的以上和其它目的、特点和优点。附图中的部件只是为了示出本申请的原理。在附图中,相同的或类似的技术特征或部件将采用相同或类似的附图标记来表示。The above and other objects, features and advantages of the present application will be more easily understood with reference to the following description of the embodiments of the present application in conjunction with the accompanying drawings. The components in the figures are only intended to illustrate the principles of the application. In the drawings, the same or similar technical features or components will be denoted by the same or similar reference numerals.

图1为本申请的基于刹车力矩反馈的飞机防滑刹车控制方法的一个实施例的示意性流程图;Fig. 1 is the schematic flowchart of an embodiment of the aircraft anti-skid braking control method based on braking torque feedback of the present application;

图2为可用于采集和检测刹车力矩的飞机刹车装置的示意性结构图;Fig. 2 is a schematic structural diagram of an aircraft braking device that can be used to collect and detect braking torque;

图3A为滑移因子与刹车力矩之间的实际关系曲线;Fig. 3 A is the actual relationship curve between the slip factor and the braking torque;

图3B为可区分机轮是否处于抱死状态的滑移因子与刹车力矩之间的关系曲线;Fig. 3B is the relationship curve between the slip factor and the braking torque that can distinguish whether the wheel is in a locked state;

图4A为采用本实施例的方法后,飞机机体速度和飞机机轮速度随时间变化曲线图;Fig. 4A is after adopting the method of the present embodiment, the curve graph of aircraft body speed and aircraft wheel speed with time;

图4B为与图4A对应的结合力和结合力峰值随时间变化曲线图;Fig. 4B is a graph corresponding to the binding force and the peak value of the binding force over time corresponding to Fig. 4A;

图5A为采用本实施例的方法后,当跑道从高结合系数变化至低结合系数时,飞机机体速度和飞机机轮速度随时间变化曲线图;Fig. 5A is after adopting the method of the present embodiment, when the runway changes from a high combination coefficient to a low combination coefficient, the speed of the aircraft body and the speed of the aircraft wheel change with time;

图5B为与图5A对应的结合力和结合力峰值随时间变化曲线图Figure 5B is a graph of the binding force and the peak value of the binding force as a function of time corresponding to Figure 5A

图6A为为采用本实施例的方法后,当跑道从低结合系数变化至高结合系数时,机机体速度和飞机机轮速度随时间变化曲线图;Fig. 6A is after adopting the method of the present embodiment, when the runway changes from a low combination coefficient to a high combination coefficient, the speed of the aircraft body and the speed of the aircraft wheel change with time;

图6B为与图6A对应的结合力和结合力峰值随时间变化曲线图。FIG. 6B is a graph corresponding to FIG. 6A of the binding force and the peak value of the binding force over time.

具体实施方式detailed description

下面参照附图来说明本申请的实施例。在本申请的一个附图或一种实施方式中描述的元素和特征可以与一个或更多个其它附图或实施方式中示出的元素和特征相结合。应当注意,为了清楚的目的,附图和说明中省略了与本申请无关的、本领域普通技术人员已知的部件和处理的表示和描述。Embodiments of the present application are described below with reference to the drawings. Elements and features described in one drawing or one embodiment of the present application may be combined with elements and features shown in one or more other drawings or embodiments. It should be noted that representation and description of components and processes that are not relevant to the present application and known to those of ordinary skill in the art are omitted from the drawings and descriptions for the purpose of clarity.

参见图1所示,为本申请的基于刹车力矩反馈的飞机防滑刹车控制方法的一个实施例的示意性流程图。Referring to FIG. 1 , it is a schematic flowchart of an embodiment of an aircraft anti-skid braking control method based on braking torque feedback of the present application.

本实施例的基于刹车力矩反馈的飞机防滑刹车控制方法包括:The aircraft anti-skid braking control method based on braking torque feedback of the present embodiment includes:

步骤110,检测飞机机轮的刹车力矩和飞机机轮的转速。Step 110, detecting the braking torque of the aircraft wheel and the rotational speed of the aircraft wheel.

在一些可选的实现方式中,飞机机轮的转速例如可以由安装在飞机机轮的轮轴上的转速传感器来检测和采集。而飞机机轮的刹车力矩例如可以采用如图2所示的刹车装置来检测和采集。In some optional implementation manners, the rotational speed of the aircraft wheel may be detected and collected, for example, by a rotational speed sensor installed on the axle of the aircraft wheel. The braking torque of the aircraft wheel, for example, can be detected and collected by using a braking device as shown in FIG. 2 .

如图2所示,刹车装置的静盘210通过法兰盘220与轮轴230连接,轮轴左侧与起落架支柱相连。飞机进行防滑刹车时,防滑刹车阀出口的高压油液推动活塞240将静盘210与动盘压紧,静盘210与动盘摩擦面产生的摩擦力一方面通过动盘和轮毂给机轮提供刹车力矩,另一方面通过静盘210和法兰盘220给轮轴施加扭矩,因此通过设置在轮轴230上的应变片250,可测量轮轴上的力矩,从而获得刹车力矩。As shown in FIG. 2 , the static disk 210 of the braking device is connected to the wheel shaft 230 through the flange 220 , and the left side of the wheel shaft is connected to the landing gear pillar. When the aircraft performs anti-skid braking, the high-pressure oil at the outlet of the anti-skid brake valve pushes the piston 240 to compress the static disc 210 and the dynamic disc. Braking torque, on the other hand, applies torque to the wheel shaft through the static disc 210 and the flange 220 , so the torque on the wheel shaft can be measured through the strain gauge 250 arranged on the wheel shaft 230 , thereby obtaining the braking torque.

步骤120,基于刹车力矩和转速确定实际滑移因子。Step 120, determining an actual slip factor based on the braking torque and the rotational speed.

为了既能够充分利用准确测量的物理量和已知的结构参数来构造滑移因子,又能够明确表述机轮处于附着区和理想工作区间时与打滑区间的不同特性,滑移因子表达式如下公式1.1所示:In order to make full use of the accurately measured physical quantities and known structural parameters to construct the slip factor, and to clearly express the different characteristics of the wheel in the attachment zone and the ideal working zone and the slip zone, the slip factor expression is as follows: Formula 1.1 Shown:

其中,η为滑移因子,Flm为机轮与跑道之间的结合力,r为机轮半径,Mb为刹车力矩。Among them, η is the slip factor, F lm is the binding force between the wheel and the runway, r is the radius of the wheel, and M b is the braking torque.

由机轮动力学方程可知,在忽略机轮滚动摩擦力矩时,有:According to the dynamic equation of the wheel, when the rolling friction moment of the wheel is neglected, there is:

其中,ω为机轮的转速。J为机轮转动惯量,是已知的结构参数。where ω is the speed of the wheel. J is the moment of inertia of the wheel, which is a known structural parameter.

一般而言,滑移因子与刹车力矩之间的关系满足如图3A所示的曲线。图3A中,曲线的峰值处对应机轮转速为0,也即发生抱死时对应的滑移因子。Generally speaking, the relationship between the slip factor and the braking torque satisfies the curve shown in FIG. 3A . In FIG. 3A , the peak of the curve corresponds to the wheel speed being 0, that is, the corresponding slip factor when locking occurs.

从图3A中可以看出,滑移因子在飞机机轮即将出现打滑时(也即曲线中从原点方向接近曲线峰值对应的刹车力矩时)滑移因子会产生剧烈的变化。因此,若直接采用上述的公式(1.2)来计算滑移因子η,将无法判断此时的滑移因子所对应的飞机状态是达到滑移因子峰值之前(也即飞机尚未发生抱死现象)的数值还是达到滑移因子峰值之后(也即飞机发生抱死现象)的数值。因此需增加机轮转速辅助判断标准。也即是说,若通过公式(1.2)计算出的滑移因子η大于滑移因子阈值,且机轮转速满足ω<ωmin时,将滑移因子η数值置为在所有跑道状态下都不会引起误动作的值,例如,可以将此时的η置为1。在这里,ωmin为一预设的接近于0的数值。It can be seen from FIG. 3A that the slip factor will change drastically when the aircraft wheel is about to slip (that is, when the curve approaches the braking torque corresponding to the peak of the curve from the origin direction). Therefore, if the above-mentioned formula (1.2) is directly used to calculate the slip factor η, it will not be possible to judge that the state of the aircraft corresponding to the slip factor at this time is before reaching the peak value of the slip factor (that is, the aircraft has not yet locked up). The value is still the value after reaching the peak value of the slip factor (that is, the aircraft is locked). Therefore, it is necessary to increase the auxiliary judgment standard of the wheel speed. That is to say, if the slip factor η calculated by the formula (1.2) is greater than the slip factor threshold, and the wheel speed satisfies ω<ω min , the value of the slip factor η is set Values that cause malfunctions, for example, η at this time can be set to 1. Here, ω min is a preset value close to 0.

通过机轮转速辅助判断校正后滑移因子与刹车力矩之间的关系曲线如图3B所示。The relationship curve between the corrected slip factor and the braking torque is shown in Fig. 3B by assisting in judging the wheel speed.

因此,通过检测机转速度ω和测刹车力矩Mb,便可结合公式(1.2)以及机轮转速辅助判断调节确定出实际滑移因子η。Therefore, by detecting the machine rotation speed ω and the braking torque M b , the actual slip factor η can be determined by combining the formula (1.2) and auxiliary judgment and adjustment of the wheel speed.

步骤130,比较实际滑移因子与滑移因子阈值。Step 130, comparing the actual slip factor with the slip factor threshold.

请继续参照图3B。从图3B可以看出,当机轮工作在附着区(也即,实际刹车力矩小于且远离滑移因子峰值对应的刹车力矩,飞机未出现打滑现象)时,滑移因子η保持在很小的范围内变化。而一旦进入打滑区域(也即,实际刹车力矩小于但接近滑移因子峰值对应的刹车力矩,飞机开始出现打滑现象)后,滑移因子η的数值迅速增加。这种特性为判断机轮的工作区域提供了较为明确且宽松的判断标准。因此通过合理设置滑移因子阈值ηslip,可以确保ηslip的数值远离打滑区域中η的数值区间。Please continue to refer to FIG. 3B . It can be seen from Figure 3B that when the wheel is working in the adhesion zone (that is, the actual braking torque is less than and far from the braking torque corresponding to the peak value of the slip factor, and the aircraft does not skid), the slip factor η remains very small range changes. And once it enters the skidding region (that is, the actual braking torque is less than but close to the braking torque corresponding to the peak value of the slip factor, and the aircraft starts to skid), the value of the slip factor η increases rapidly. This feature provides a relatively clear and loose judgment standard for judging the working area of the wheel. Therefore, by reasonably setting the slip factor threshold η slip , it can be ensured that the value of η slip is far away from the value range of η in the slipping region.

滑移因子阈值ηslip可以在较为宽松的范围内选取。这是由打滑因子的特性所导致,首先,由于机轮在打滑与未打滑状态的滑移因子η数值差距明显,因此在设计ηslip值的时裕量较大;其次,可以设计ηslip值的目的是使飞机机轮处于理想工作区域,这又拓宽了滑移因子阈值ηslip的选择范围。当飞机机轮处于理想工作区域时,飞机机轮与跑道之间的结合力接近结合力峰值Fslip,并且机轮未出现打滑的现象。The slip factor threshold η slip can be selected within a relatively loose range. This is caused by the characteristics of the slip factor. First of all, because the slip factor η value difference between the slipping state and the non-slipping state of the wheel is obvious, there is a large margin when designing the value of η slip ; secondly, the value of η slip can be designed The purpose of is to make the aircraft wheel in the ideal working area, which broadens the selection range of slip factor threshold η slip . When the aircraft wheel is in the ideal working area, the binding force between the aircraft wheel and the runway is close to the peak value F slip of the binding force, and the wheel does not slip.

步骤140,若实际滑移因子达到滑移因子阈值,则更新滑移因子的阈值,并在步骤150中减小刹车力矩以使实际滑移因子小于更新后的滑移因子阈值。Step 140, if the actual slip factor reaches the slip factor threshold, update the slip factor threshold, and reduce the braking torque in step 150 so that the actual slip factor is smaller than the updated slip factor threshold.

在实际应用中,当飞机尚未着陆时,一般无法获得跑道路面的相关信息,因此,无法得到准确的与结合力峰值Fslip对应的滑移因子。因而,可以先设定一滑移因子阈值的初始值,并通过一定的方式来更新滑移因子阈值,从而使得滑移因子阈值不断地接近真实的滑移因子阈值,也即是与真实的结合力峰值Fslip对应的滑移因子。In practical applications, when the aircraft has not yet landed, generally the relevant information of the runway surface cannot be obtained, therefore, the slip factor corresponding to the peak binding force F slip cannot be obtained accurately. Therefore, the initial value of a slip factor threshold can be set first, and the slip factor threshold can be updated in a certain way, so that the slip factor threshold is constantly approaching the real slip factor threshold, that is, the combination with the real The slip factor corresponding to the peak force F slip .

例如,当实际滑移因子大于或等于滑移因子阈值时,可基于刹车力矩和转速来更新结合力峰值,并基于更新后的结合力峰值更新滑移因子的阈值。For example, when the actual slip factor is greater than or equal to the slip factor threshold, the peak coupling force may be updated based on the braking torque and the rotation speed, and the slip factor threshold may be updated based on the updated peak coupling force.

具体而言,通过如下的公式(1.3)来更新结合力峰值:Specifically, the peak binding force is updated by the following formula (1.3):

其中,Flm为结合力,r为飞机机轮的半径。Among them, F lm is the bonding force, and r is the radius of the aircraft wheel.

当实际滑移因子等于滑移因子阈值时的结合力Flm为结合力峰值FslipThe binding force F lm when the actual slip factor is equal to the slip factor threshold is the binding force peak value F slip .

在通过如上所示的公式(1.3)更新结合力峰值Fslip之后,可以通过如下的公式(1.4)来更新滑移因子的阈值:After updating the peak binding force F slip by the formula (1.3) shown above, the threshold value of the slip factor can be updated by the following formula (1.4):

其中,ηss为滑移因子阈值初始值,其具体数值可以是一经验值;Fss为预先设定的结合力初始值,其具体数值可以是一经验值;ηslip为更新后的滑移因子阈值,k1、k2、k3、k4为预设的系数,且满足:Wherein, η ss is the initial value of slip factor threshold value, and its specific value can be an empirical value; F ss is the initial value of the binding force set in advance, and its specific value can be an empirical value; η slip is the slip after updating Factor threshold, k 1 , k 2 , k 3 , k 4 are preset coefficients, and satisfy:

-1<k1<0;-1<k 1 <0;

0<k2<1;0<k 2 <1;

-1<k3<0;-1<k 3 <0;

0<k4<1。0<k 4 <1.

通过这一更新过程,可以使得滑移因子逐步逼近真实的滑移因子阈值,从而使得机轮与跑道之间的结合力逼近真实的结合力峰值,从而实现刹车效率的最大化。Through this update process, the slip factor can gradually approach the real slip factor threshold, so that the binding force between the wheel and the runway approaches the real peak binding force, thereby maximizing the braking efficiency.

这样一来,若与当前的刹车力矩达到或超过当前的滑移因子阈值后,则减小刹车力矩,从而避免机轮打滑,提高了飞机在复杂跑道表面状况下的防滑刹车效率。In this way, if the current braking torque reaches or exceeds the current slip factor threshold, the braking torque is reduced, thereby avoiding wheel skidding and improving the anti-skid braking efficiency of the aircraft under complex runway surface conditions.

可选地,本实施例的基于刹车力矩反馈的飞机防滑刹车控制方法还可以进一步包括:Optionally, the aircraft antiskid braking control method based on braking torque feedback in this embodiment may further include:

步骤160,基于刹车力矩和转速确定结合力Flm,并判断结合力Flm是否满足Flm<kadFslipStep 160, determine the binding force F lm based on the braking torque and the rotational speed, and judge whether the binding force F lm satisfies F lm <k ad F slip .

步骤170,若满足Flm<kadFslip,则增大刹车力矩。Step 170, if F lm <k ad F slip is satisfied, increase the braking torque.

其中,kad为一预先设定的附着系数,且满足0.5<kad<1。Wherein, k ad is a preset adhesion coefficient, and satisfies 0.5<k ad <1.

通过如上的步骤160和步骤170,可以使飞机机轮远离附着区,避免机轮未充分利用轮胎所能产生的结合力的情形,进一步提高了飞机在复杂跑道表面状况下的防滑刹车效率。Through the above steps 160 and 170, the aircraft wheels can be kept away from the adhesion area, avoiding the situation that the wheels do not fully utilize the bonding force that the tires can produce, and further improve the anti-skid braking efficiency of the aircraft under complex runway surface conditions.

然而,在实际应用中,飞机着陆时,跑道的结合系数并不是保持不变的。在这里,跑道的结合系数可以表征跑道能够向飞机机轮提供的摩擦系数。而当跑道的结合系数不同时,刹车力矩与滑移因子之间的关系也将随之发生改变。However, in practical applications, the combination coefficient of the runway does not remain constant when the aircraft lands. Here, the bond coefficient of the runway can characterize the coefficient of friction that the runway can provide to the aircraft wheels. When the combination coefficient of the runway is different, the relationship between the braking torque and the slip factor will also change accordingly.

例如,当跑道表面结合系数从低向高变化的瞬间,刹车力矩保持不变,而结合力将显著地增加。反之,当跑道表面结合系数从高向低变化的瞬间,刹车力矩保持不变,结合力将显著地降低。For example, when the binding coefficient of the runway surface changes from low to high, the braking torque remains unchanged, but the binding force will increase significantly. Conversely, when the binding coefficient of the runway surface changes from high to low, the braking torque remains constant, and the binding force will decrease significantly.

因此,为了捕捉跑道表面结合系数的显著变化,从而使得刹车力矩能够迅速地调节至与当前结合系数对应的结合力峰值附近,本实施例的基于刹车力矩反馈的飞机防滑刹车控制方法可以进一步包括如下的步骤:Therefore, in order to capture significant changes in the runway surface binding coefficient, so that the braking torque can be quickly adjusted to the vicinity of the peak binding force corresponding to the current binding coefficient, the aircraft anti-skid braking control method based on braking torque feedback in this embodiment may further include the following A step of:

步骤180,判断相邻两次更新后的结合力峰值之差ΔFslip是否处于预设数值范围。Step 180 , judging whether the difference ΔF slip between two adjacent updated binding force peak values is within a preset value range.

步骤190,若否,则基于如下的公式(1.5)来更新结合力峰值,并基于更新后的结合力峰值更新滑移因子的阈值:Step 190, if not, update the peak binding force based on the following formula (1.5), and update the threshold of the slip factor based on the updated peak binding force:

在这里,预设的数值范围例如可以是一数值区间,例如,[-ΔFth1,ΔFth2]。在确定ΔFth1和ΔFth2的取值时,可以考虑正常防滑刹车和外部干扰造成的结合力数值变化,并使ΔFth1和ΔFth2的取值大于正常防滑刹车和外部干扰造成的结合力数值变化范围。Here, the preset numerical range may be, for example, a numerical interval, for example, [-ΔF th1 , ΔF th2 ]. When determining the value of ΔF th1 and ΔF th2 , the value change of bonding force caused by normal anti-skid braking and external disturbance can be considered, and the value of ΔF th1 and ΔF th2 is greater than the value change of bonding force caused by normal anti-skid braking and external disturbance scope.

下面,将结合图4A-图6B的仿真曲线来描述本实施例的基于刹车力矩反馈的飞机防滑刹车控制方法,以使其优点更加明显和突出。Next, the aircraft anti-skid braking control method based on braking torque feedback of this embodiment will be described in conjunction with the simulation curves of FIGS. 4A-6B , so as to make its advantages more obvious and prominent.

参见图4A所示,为采用本实施例的方法后,飞机机体速度和飞机机轮速度随时间变化曲线图,图4B为采用本实施例的方法后,结合力和结合力峰值随时间变化曲线图。Referring to shown in Figure 4A, after adopting the method of this embodiment, the speed of the aircraft body and the speed of the aircraft wheel change with time. picture.

从图4A和图4B中可以看出,在整个防滑刹车过程中机体速度平稳下降,机轮速度由于在松-刹-松循环的刹车力作用下发生波动,未造成机轮打滑,防滑刹车开启的过程中未出现机轮抱死情况。在机体速度低于一定值以后,防滑刹车控制切除,在基于结合力反馈的算法控制下,机轮工作在跑道所能提供的结合力峰值附近,直到机体速度低于一定速度时,防滑刹车关闭,机轮抱死,结合力减小。It can be seen from Fig. 4A and Fig. 4B that the body speed decreases steadily during the entire anti-skid braking process, and the wheel speed fluctuates under the brake force of the loose-brake-loose cycle, which does not cause the wheel to slip, and the anti-skid brake is turned on During the process, no wheel lock occurred. After the body speed is lower than a certain value, the anti-skid brake control is cut off, and under the algorithm control based on the binding force feedback, the wheels work near the peak value of the binding force that the runway can provide, until the body speed is lower than a certain speed, the anti-skid brake is turned off , the wheel is locked, and the binding force is reduced.

参见图5A所示,为采用本实施例的方法后,当跑道从高结合系数变化至低结合系数时,飞机机体速度和飞机机轮速度随时间变化曲线图,图5B为与图5A对应的结合力和结合力峰值随时间变化曲线图。Referring to Fig. 5A, after adopting the method of the present embodiment, when the runway changes from a high combination coefficient to a low combination coefficient, the speed of the aircraft body and the speed of the aircraft wheel change with time, and Fig. 5B is a graph corresponding to Fig. 5A Curves of binding force and peak binding force over time.

从图5A和图5B中可以看出,在跑道从高结合系数变化至低结合系数情形下,整个防滑刹车过程的飞机机体速度平稳下降,机轮速度由于在松-刹-松循环的刹车力作用下发生波动,跑道状态的变化对机体减速率和机轮运动中的滑动成分影响明显,但未造成机轮打滑,防滑刹车开启的过程中未出现机轮抱死情况。在跑道状态发生变化以后,利用同样的方法检测到新的结合力峰值;在基于结合力反馈的算法控制下,机轮工作在跑道所能提供的结合力峰值附近,直到机体速度低于5.5m/s,防滑刹车关闭,机轮抱死,结合力减小。跑道状态发生变化以后,本实施例的方法检测到机轮发生打滑现象,首先减小刹车压力指令,从而减小刹车力矩,使得机轮回到附着工作区域,然后增大刹车压力指令重新在线搜索结合力峰值,再次检测到新的理想工作点。It can be seen from Fig. 5A and Fig. 5B that when the runway changes from a high binding coefficient to a low binding coefficient, the speed of the aircraft body during the whole anti-skid braking process decreases steadily, and the wheel speed is due to the braking force in the release-brake-release cycle. Fluctuations occurred under the action, and the change of the runway state had a significant impact on the deceleration rate of the airframe and the sliding component in the wheel motion, but did not cause the wheel to slip, and no wheel lock occurred during the opening of the anti-skid brake. After the state of the runway changes, use the same method to detect a new peak binding force; under the control of the algorithm based on binding force feedback, the wheels work near the peak binding force that the runway can provide until the body speed is lower than 5.5m /s, the anti-skid brake is turned off, the wheel is locked, and the binding force is reduced. After the state of the runway changes, the method of this embodiment detects that the wheels are slipping, firstly reduce the brake pressure command, thereby reducing the braking torque, so that the wheels return to the attached working area, and then increase the brake pressure command to search and combine online again force peak, a new ideal operating point is detected again.

参见图6A所示,为采用本实施例的方法后,当跑道从低结合系数变化至高结合系数时,机机体速度和飞机机轮速度随时间变化曲线图,图6B为与图6A对应的结合力和结合力峰值随时间变化曲线图。Referring to Fig. 6A, after adopting the method of this embodiment, when the runway changes from a low combination coefficient to a high combination coefficient, the speed of the aircraft body and the speed of the aircraft wheel change with time, and Fig. 6B is a combination corresponding to Fig. 6A Graph of peak force and binding force versus time.

从图6A和图6B中可以看出,当跑道从低结合系数变化至高结合系数的情形下,整个防滑刹车过程的机体速度平稳下降,机轮速度由于在松-刹-松循环的刹车力作用下发生波动,跑道状态的变化对机体减速率和机轮运动中的滑动成分有影响,但未造成机轮打滑,防滑刹车开启的过程中未出现机轮抱死情况。在低速时滑移率逐渐增加,但与低结合系数跑道相比,机轮运动中的滑动成分小很多。在低速工作状况下,机轮工作点逐渐向着横轴正方向移动,表明机轮运动中的滑动成分逐渐增加;在跑道状态发生变化以后,利用同样的方法检测到新的结合力峰值;在基于结合力反馈的算法控制下,机轮工作在跑道所能提供的结合力峰值附近,直到机体速度低于5.5m/s,防滑刹车关闭,机轮抱死,结合力减小。From Figure 6A and Figure 6B, it can be seen that when the runway changes from a low combination coefficient to a high combination coefficient, the body speed of the entire anti-skid braking process decreases steadily, and the wheel speed is due to the braking force in the release-brake-release cycle The change of the runway state has an impact on the deceleration rate of the airframe and the sliding component in the wheel motion, but it did not cause the wheel to slip, and the wheel lock did not occur during the activation of the anti-skid brake. The slip ratio gradually increases at low speeds, but the slip component in the wheel motion is much smaller compared to a runway with low binding coefficient. Under the low-speed working condition, the working point of the wheel gradually moves toward the positive direction of the horizontal axis, which indicates that the sliding component in the wheel movement gradually increases; after the state of the runway changes, a new peak value of the binding force is detected by the same method; Under the control of the combined force feedback algorithm, the wheels work near the peak value of the combined force that the runway can provide, until the body speed is lower than 5.5m/s, the anti-skid brakes are turned off, the wheels are locked, and the combined force decreases.

以上描述仅为本申请的较佳实施例以及对所运用技术原理的说明。本领域技术人员应当理解,本申请中所涉及的发明范围,并不限于上述技术特征的特定组合而成的技术方案,同时也应涵盖在不脱离所述发明构思的情况下,由上述技术特征或其等同特征进行任意组合而形成的其它技术方案。例如上述特征与本申请中公开的(但不限于)具有类似功能的技术特征进行互相替换而形成的技术方案。The above description is only a preferred embodiment of the present application and an illustration of the applied technical principles. Those skilled in the art should understand that the scope of the invention involved in this application is not limited to the technical solution formed by the specific combination of the above-mentioned technical features, but should also cover the technical solution formed by the above-mentioned technical features without departing from the inventive concept. Other technical solutions formed by any combination of or equivalent features thereof. For example, a technical solution formed by replacing the above-mentioned features with technical features with similar functions disclosed in (but not limited to) this application.

Claims (6)

1.一种基于刹车力矩反馈的飞机防滑刹车控制方法,其特征在于,包括:1. a kind of aircraft antiskid braking control method based on braking torque feedback, it is characterized in that, comprising: 检测飞机机轮的刹车力矩和飞机机轮的转速;Detect the braking torque of the aircraft wheel and the speed of the aircraft wheel; 基于所述刹车力矩和所述转速确定实际滑移因子;determining an actual slip factor based on the braking torque and the rotational speed; 比较所述实际滑移因子与滑移因子阈值;comparing said actual slip factor with a slip factor threshold; 若所述实际滑移因子达到滑移因子阈值,则更新所述滑移因子阈值;以及if the actual slip factor reaches a slip factor threshold, updating the slip factor threshold; and 减小所述刹车力矩以使所述实际滑移因子小于更新后的滑移因子阈值;reducing the braking torque so that the actual slip factor is less than the updated slip factor threshold; 所述基于所述刹车力矩和所述转速确定实际滑移因子包括:The determining the actual slip factor based on the braking torque and the rotational speed includes: 计算 calculate 若η1>ηslip,且ω<ωmin,则η=1;If η 1slip , and ω<ω min , then η=1; 若η1≤ηslip,则η=η1If η 1 ≤ η slip , then η = η 1 ; 其中,η为实际滑移因子,ηslip为滑移因子阈值,J为飞机机轮转动惯量,ω为飞机机轮的转速,ωmin为一预设转速阈值,Mb为刹车力矩。Wherein, η is the actual slip factor, η slip is the slip factor threshold, J is the moment of inertia of the aircraft wheel, ω is the rotational speed of the aircraft wheel, ω min is a preset rotational speed threshold, and M b is the braking torque. 2.根据权利要求1所述的方法,其特征在于,若所述实际滑移因子达到滑移因子阈值,则更新所述滑移因子阈值包括:2. The method according to claim 1, wherein if the actual slip factor reaches a slip factor threshold, updating the slip factor threshold comprises: 若所述实际滑移因子大于或等于滑移因子阈值,基于所述刹车力矩和所述转速更新结合力峰值;以及If the actual slip factor is greater than or equal to a slip factor threshold, updating the peak coupling force based on the braking torque and the rotational speed; and 基于更新后的结合力峰值更新所述滑移因子阈值。The slip factor threshold is updated based on the updated peak binding force. 3.根据权利要求2所述的方法,其特征在于,所述基于所述刹车力矩和所述转速更新结合力峰值包括:3. The method according to claim 2, wherein updating the peak value of the combined force based on the braking torque and the rotational speed comprises: 通过来更新所述结合力峰值;pass to update the peak binding force; 其中,Flm为结合力,r为飞机机轮的半径;Among them, F lm is the bonding force, r is the radius of the aircraft wheel; 当所述实际滑移因子等于所述滑移因子阈值时的结合力Flm为所述结合力峰值FslipThe binding force F lm when the actual slip factor is equal to the slip factor threshold is the binding force peak value F slip . 4.根据权利要求3所述的方法,其特征在于,所述基于所述结合力峰值更新所述滑移因子阈值包括:4. The method according to claim 3, wherein updating the slip factor threshold based on the peak binding force comprises: &eta;&eta; sthe s ll ii pp &eta;&eta; sthe s sthe s == kk 11 (( Ff sthe s ll ii pp Ff sthe s sthe s )) 33 ++ kk 22 (( Ff sthe s ll ii pp Ff sthe s sthe s )) 22 ++ kk 33 (( Ff sthe s ll ii pp Ff sthe s sthe s )) ++ kk 44 ;; 其中,ηss为预先设定的滑移因子初始值,Fss为预先设定的结合力初始值,ηslip为所述更新后的滑移因子阈值,k1、k2、k3、k4为预设的系数,且满足:Among them, η ss is the preset initial value of the slip factor, F ss is the preset initial value of the binding force, η slip is the updated slip factor threshold, k 1 , k 2 , k 3 , k 4 is the preset coefficient, and it satisfies: -1<k1<0;-1<k 1 <0; 0<k2<1;0<k 2 <1; -1<k3<0;-1<k 3 <0; 0<k4<1。0<k 4 <1. 5.根据权利要求4所述的方法,其特征在于,还包括:5. The method according to claim 4, further comprising: 基于所述刹车力矩和所述转速确定结合力Flm并判断结合力Flm是否满足Flm<kadFslipDetermining the binding force F lm based on the braking torque and the rotational speed and judging whether the binding force F lm satisfies F lm <k ad F slip ; 若是,则增大所述刹车力矩;If so, then increase the braking torque; 其中,kad为附着系数,且满足0.5<kad<1。Wherein, k ad is the adhesion coefficient, and satisfies 0.5<k ad <1. 6.根据权利要求3-5任意一项所述的方法,其特征在于,还包括:6. The method according to any one of claims 3-5, further comprising: 判断相邻两次更新后的结合力峰值之差△Fslip是否处于预设数值范围;Judging whether the difference △F slip between the peak values of the binding force after two adjacent updates is within the preset value range; 若否,则基于来更新结合力峰值,并基于更新后的结合力峰值更新所述滑移因子阈值。If not, based on to update the peak binding force, and update the slip factor threshold based on the updated peak binding force.
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