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CN1329722C - Cargo vehicle ABS road identification method - Google Patents

Cargo vehicle ABS road identification method Download PDF

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CN1329722C
CN1329722C CNB2005100573610A CN200510057361A CN1329722C CN 1329722 C CN1329722 C CN 1329722C CN B2005100573610 A CNB2005100573610 A CN B2005100573610A CN 200510057361 A CN200510057361 A CN 200510057361A CN 1329722 C CN1329722 C CN 1329722C
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car
adhesion coefficient
mass
vehicle
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CN1758043A (en
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郑太雄
李银国
王平
冯辉宗
李锐
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Chongqing University of Post and Telecommunications
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Abstract

本发明请求保护一种载重汽车制动防抱死系统(ABS)路面辨识方法,涉及汽车电子控制技术领域,它把汽车车轮的最大轮速作为汽车的参考速度,然后根据车轮的角加速度计算得到每个车轮受到的地面摩擦力,再由此计算汽车的质量和汽车在载重的情况下的车身参数,并由此得到汽车车轮的正压力,从而计算得到地面的附着系数。然后计算出车轮的滑移率,再根据理论公式计算出在当前滑移率下不同路面的理论附着系数,将两次计算的附着系数进行比对,从而辨识出路面情况。该方法适用于汽车制动防抱死系统(ABS),特别是能够解决载重车在不同的载重情况下的路面辨识。

Figure 200510057361

The invention claims to protect a road surface identification method for anti-lock braking system (ABS) of trucks, which relates to the technical field of automotive electronic control. It takes the maximum wheel speed of the vehicle wheel as the reference speed of the vehicle, and then calculates it according to the angular acceleration of the wheel. The frictional force of the ground on each wheel is used to calculate the mass of the car and the body parameters of the car under load, and thus to obtain the normal pressure of the car wheel, thereby calculating the adhesion coefficient of the ground. Then calculate the slip rate of the wheel, and then calculate the theoretical adhesion coefficient of different road surfaces under the current slip rate according to the theoretical formula, and compare the two calculated adhesion coefficients to identify the road surface condition. The method is suitable for the anti-lock braking system (ABS) of automobiles, especially for road identification of trucks under different loading conditions.

Figure 200510057361

Description

一种载重车ABS路面辨识方法A ABS road surface identification method for trucks

技术领域technical field

本发明属于汽车电子控制技术领域,具体涉及一种载重车ABS路面辨识的方法。The invention belongs to the technical field of automobile electronic control, and in particular relates to a road surface identification method of ABS of a truck.

背景技术Background technique

ABS汽车防抱死系统是保证汽车在刹车过程中车轮不抱死的重要的电子系统,为保证车轮不抱死,同时又能以较快的速度制动,ABS必须针对不同的路面情况采用不同的控制策略,因此ABS系统必须实时的辨识路面情况。然而由于汽车车身装载的传感器数量有限,ABS能够获得的信息只有车轮的速度,因此ABS路面辨识算法必须能够从有限的信息中识别出路面的信息。为此陈军等在东北大学学报2003年6月,第24卷第6期发表的《基于竞争神经网络的ABS路面识别》采用神经网络技术进行路面辨识技术,农业机械学报,2001年9月发表的《基于道路自动识别ABS模糊控制系统研究》采用对比车轮理论减速度与车轮实际减速度的方法辨识路面,Jin-Oh Hahn等采用基于GPS的方法辨识轮胎与地面的摩擦系数(Jin-Oh Hahn,Rajesh Rajamani,and Lee Alexander.GPS-Based Real-Time Identification of Tire-RoadFriction Coefficient,IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY,VOL.10,NO.3)。然而纵观以上这些方法,基于神经网络的方法需要大量的样本数据对网络进行训练,对比车轮理论减速度与车轮实际减速度的方法需要知道汽车的质量,而ABS系统并不知道汽车装载任意质量后的总质量,所以该方法在载重车的ABS中不能实现路面的自动辨识,而基于GPS的方法需要汽车配备全球定位系统,所以成本较高。The ABS automobile anti-lock braking system is an important electronic system to ensure that the wheels of the car do not lock during the braking process. Therefore, the ABS system must recognize the road conditions in real time. However, due to the limited number of sensors mounted on the car body, the only information that ABS can obtain is the speed of the wheels. Therefore, the ABS road recognition algorithm must be able to identify road information from limited information. For this reason, Chen Jun and others published "ABS Road Surface Recognition Based on Competitive Neural Network" in the Journal of Northeastern University in June 2003, Volume 24, Issue 6, using neural network technology for road surface identification technology, Journal of Agricultural Machinery, published in September 2001 "Research on ABS Fuzzy Control System Based on Automatic Road Identification" uses the method of comparing the theoretical deceleration of the wheel with the actual deceleration of the wheel to identify the road surface. Jin-Oh Hahn et al. use the method based on GPS to identify the friction coefficient between the tire and the ground (Jin-Oh Hahn , Rajesh Rajamani, and Lee Alexander. GPS-Based Real-Time Identification of Tire-Road Friction Coefficient, IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, VOL.10, NO.3). However, looking at the above methods, the method based on the neural network needs a large amount of sample data to train the network, and the method of comparing the theoretical deceleration of the wheel with the actual deceleration of the wheel needs to know the mass of the car, and the ABS system does not know that the car is loaded with any mass. Therefore, this method cannot realize the automatic identification of the road surface in the ABS of the truck, and the GPS-based method requires the car to be equipped with a global positioning system, so the cost is relatively high.

发明内容Contents of the invention

本发明涉及了一种成本低廉,计算方法简单,不需对网络进行训练的适用于载重车ABS路面辨识的新方法。本发明提出一种载重车ABS路面辨识的方法,其目的是解决现有路面识别方法中存在的需要大量的样本数据进行训练,或对比车轮理论减速度与车轮实际减速度的方法中无法获得载重车质量以及制造成本高的缺点。The invention relates to a new method suitable for truck ABS road surface identification with low cost, simple calculation method and no need for network training. The present invention proposes a method for ABS road identification of trucks, the purpose of which is to solve the problems existing in existing road identification methods that require a large amount of sample data for training, or that the method of comparing the theoretical deceleration of the wheel with the actual deceleration of the wheel cannot obtain the load. The disadvantages of car quality and high manufacturing cost.

解决上述技术问题所采用的技术方案是:利用轮速传感器在线提取制动过程中轮速信号,获取汽车制动中4个车轮的角加速度,并提取最大的轮速作为汽车的参考车速,然后根据公式计算汽车制动器产生的制动力矩,再由4个车轮的角加速度和4个车轮制动器的制动力矩,分别计算4个车轮受到的地面摩擦力,根据4个车轮受到的地面摩擦力以及车身的加速度,计算得到汽车的质量,再由汽车的质量计算出汽车的质心高度和质心距前轴与后轴的距离,再根据汽车的质量,汽车的质心高度和质心距前轴与后轴的距离,汽车的加速度,计算汽车4个车轮受到的正压力,再由正压力与车轮受到的地面摩擦力计算得到当前附着系数。最后由理论公式计算在当前滑移率下不同路面的理论附着系数,将由正压力与摩擦力计算得到的附着系数和不同路面的理论附着系数连续进行计算并对比,若由正压力与摩擦力计算得到的附着系数连续两次都与某种路面下的附着系数接近,则可辨识当前路面状况,并判断车轮在该路面上。The technical solution adopted to solve the above technical problems is: use the wheel speed sensor to extract the wheel speed signal during the braking process online, obtain the angular acceleration of the four wheels in the braking process of the car, and extract the maximum wheel speed as the reference speed of the car, and then According to the formula to calculate the braking torque generated by the car brakes, and then calculate the ground friction force on the four wheels respectively from the angular acceleration of the four wheels and the braking torque of the four wheel brakes, according to the ground friction force on the four wheels and The acceleration of the car body is calculated to obtain the mass of the car, and then the height of the car's center of mass and the distance between the center of mass and the distance from the front axle to the rear axle are calculated from the mass of the car. Calculate the normal pressure on the four wheels of the car, and then calculate the current adhesion coefficient from the positive pressure and the ground friction force on the wheels. Finally, the theoretical adhesion coefficient of different road surfaces under the current slip rate is calculated by the theoretical formula, and the adhesion coefficient calculated by the normal pressure and friction force is continuously calculated and compared with the theoretical adhesion coefficient of different road surfaces. If calculated by the normal pressure and friction force If the obtained adhesion coefficient is close to the adhesion coefficient under a certain road surface for two consecutive times, the current road surface condition can be identified and the wheel is judged to be on the road surface.

附图说明Description of drawings

图1载重汽车ABS路面辨识方法流程图Figure 1 Flowchart of truck ABS road identification method

图2四轮车辆系统模型Figure 2 Four-wheel vehicle system model

具体实施方式Detailed ways

现结合附图及实施例对该路面辨识方法的实施过程进行具体描述,图1所示为载重汽车ABS路面辨识方法流程图,其步骤如下:The implementation process of the road surface identification method is described in detail in conjunction with the accompanying drawings and embodiments. Figure 1 shows the flow chart of the truck ABS road surface identification method. The steps are as follows:

1、利用轮速传感器在线提取制动过程中轮速信号:汽车的线速度ν、车轮角速度ω,获取汽车制动中4个车轮的滑移率,然后根据公式计算制动时车轮的滑移率: S = v - rω v × 100 % 1. Use the wheel speed sensor to extract the wheel speed signal online during the braking process: the linear velocity ν of the car and the angular velocity ω of the wheel to obtain the slip ratio of the four wheels in the car braking, and then calculate the wheel slip during braking according to the formula Rate: S = v - rω v × 100 %

其中r表示车轮不受地面制动力时的滚动半径。where r is the rolling radius of the wheel when it is not subject to ground braking force.

2、根据制动气室的气体压力获取汽车制动器产生的制动力矩2. Obtain the braking torque generated by the automobile brake according to the gas pressure of the brake chamber

通过实验获取经验值存入数据库中,获取制动器制动因数kp、制动气室的压力P,克服制动缸中的弹簧力所需的压力Pm。车轮的制动力矩由制动器的制动气室的气体产生的压力提供,制动气室的气体压力与制动力矩Mb的关系满足下式: M b = 0 p - p m < 0 k p ( p - p m ) p - p m > 0 The empirical values obtained through experiments are stored in the database, and the braking factor k p of the brake, the pressure P of the brake air chamber, and the pressure P m required to overcome the spring force in the brake cylinder are obtained. The braking torque of the wheel is provided by the pressure generated by the gas in the brake chamber of the brake, and the relationship between the gas pressure in the brake chamber and the braking torque M b satisfies the following formula: m b = 0 p - p m < 0 k p ( p - p m ) p - p m > 0

制动气室的气体压力与制动气室充气时间以及充气终了值有关,其“压力—时间”动特性曲线是一种渐近式的曲线,类似于S形曲线,采用指数形式S型曲线方程: p ( t ) = a 1 + b &CenterDot; e m &CenterDot; t 其中a是气室充气终了值,b和m是两个增益,无具体物理意义,可通过试验确定。The gas pressure of the brake chamber is related to the inflation time of the brake chamber and the end value of inflation. Its "pressure-time" dynamic characteristic curve is an asymptotic curve, similar to an S-shaped curve, and an exponential S-shaped curve is adopted. equation: p ( t ) = a 1 + b &CenterDot; e m &CenterDot; t Among them, a is the end value of air chamber inflation, b and m are two gains, which have no specific physical meaning and can be determined through experiments.

3、计算4个车轮受到的地面摩擦力3. Calculate the ground friction force on the four wheels

汽车在制动过程中车轮受到制动器产生的制动力矩和地面的摩擦力矩的作用,制动器产生的制动力矩将使车轮减速,而地面的摩擦力矩将使车轮加速,根据轮速传感器测得的车轮转速,可得到车轮的角加速度,在车轮的转动惯量已知的情况下,车轮受到的摩擦力Fsi可由下式计算 During the braking process of the car, the wheels are affected by the braking torque generated by the brakes and the friction torque of the ground. The braking torque generated by the brakes will decelerate the wheels, while the friction torque of the ground will accelerate the wheels. The angular acceleration of the wheel can be obtained from the rotational speed of the wheel. When the moment of inertia of the wheel is known, the friction force F si on the wheel can be calculated by the following formula

其中Mbi是第i个车轮的制动力矩,Ji为第i个车轮的转动惯量等参数通过测量提取存入数据库中, 为第i个车轮的角加速度,通过前后两次测得的车轮速度用差分法计算得到。Among them, M bi is the braking torque of the i-th wheel, J i is the moment of inertia of the i-th wheel and other parameters are extracted and stored in the database through measurement, is the angular acceleration of the i-th wheel, which is calculated by the difference method from the wheel speeds measured twice before and after.

4、通过分别将两次测得的轮速的最大值作为车身的速度,然后用差分法计算得到车身的加速度,根据4个车轮受到的地面摩擦力以及车身的加速度,计算汽车的质量,再由汽车的质量计算出汽车的质心高度和质心距前轴与后轴的距离。根据4个车轮受到的地面摩擦力计算汽车的质量 4. By taking the maximum value of the two measured wheel speeds as the speed of the car body, and then calculate the acceleration of the car body by the differential method, calculate the mass of the car according to the ground friction force on the four wheels and the acceleration of the car body, and then The height of the center of mass of the car and the distance of the center of mass from the front axle and the rear axle are calculated from the mass of the car. Calculate the mass of the car based on the ground friction force on the 4 wheels

其中∑Fsi是车轮受到的摩擦力的和,x是汽车在纵向的线加速度,

Figure C20051005736100074
是车辆横摆的角速度,vy是车辆横向运动速度。Where ∑F si is the sum of the friction forces on the wheels,  x is the linear acceleration of the car in the longitudinal direction,
Figure C20051005736100074
is the angular velocity of the vehicle yaw, v y is the lateral velocity of the vehicle.

将最大轮速作为汽车的参考车速,建立如图2所示四轮车辆系统模型,(其中vx是车辆纵向速度,vy是车辆横向速度,v是汽车速度,Fxi是车轮受到的纵向摩擦力,Fyi是车轮受到的横向摩擦力,是车辆横摆角度,β是车身与纵向之间的角度),由图2可知,vy=v·sinβ,由于β很小,所以sinβ近似为0,也就是说vy可近似为0,而汽车车身的速度可用参考速度近似表示,计算参考速度的方法大致包括最大轮速法,斜率法和X-II法和递推法,几种方法计算出的参考速度与用速度传感器测得的车身速度都很接近,考虑到最大轮速法的简便,可使用最大轮速法作为车身加速度的计算方法,由此上式可简化为 M = &Sigma; F si v . x . 若载重车空载时汽车质量为M1,前轴到质心的距离为a1,后轴到质心的距离为b1,质心高度为h1,载重车满载时汽车质量为M2,前轴到质心的距离为a2,后轴到质心的距离为b2,质心高度为h2,则可近似认为随着载重量的增加,汽车质心高度h的变化以及汽车质心距离前轴的距离a的变化满足线性关系,即Taking the maximum wheel speed as the reference speed of the car, establish a four-wheeled vehicle system model as shown in Figure 2, (where v x is the vehicle longitudinal velocity, v y is the vehicle lateral velocity, v is the vehicle speed, F xi is the longitudinal Friction force, F yi is the lateral friction force on the wheel,  is the yaw angle of the vehicle, β is the angle between the vehicle body and the longitudinal direction), it can be seen from Figure 2 that v y =v sinβ, since β is very small, so sinβ is approximately 0, that is to say v y can be approximately 0, and the speed of the car body can be approximated by the reference speed. The methods for calculating the reference speed roughly include the maximum wheel speed method, the slope method, the X-II method and the recursive method. The reference speed calculated by this method is very close to the vehicle body speed measured by the speed sensor. Considering the simplicity of the maximum wheel speed method, the maximum wheel speed method can be used as the calculation method of the vehicle body acceleration, so the above formula can be simplified as m = &Sigma; f the si v . x . If the mass of the truck is M 1 when the truck is unloaded, the distance from the front axle to the center of mass is a 1 , the distance from the rear axle to the center of mass is b 1 , the height of the center of mass is h 1 , the mass of the truck is M 2 when the truck is fully loaded, the front axle The distance to the center of mass is a 2 , the distance from the rear axle to the center of mass is b 2 , and the height of the center of mass is h 2 , it can be approximated that with the increase of the load, the change of the height h of the center of mass of the car and the distance a between the center of mass of the car and the front axle The change of satisfies a linear relationship, that is,

aa == aa 22 -- aa 11 Mm 22 -- Mm 11 Mm ++ aa 11 Mm 22 -- aa 22 Mm 11 Mm 22 -- Mm 11

hh == hh 22 -- hh 11 Mm 22 -- Mm 11 Mm ++ hh 11 Mm 22 -- hh 22 Mm 11 Mm 22 -- Mm 11

5、根据汽车质量,车身加速度以及车身参数计算车轮受到的正压力与车轮受到的地面摩擦力计算得到附着系数5. According to the mass of the car, the acceleration of the body and the parameters of the body, calculate the normal pressure on the wheel and the ground friction on the wheel to calculate the adhesion coefficient

汽车在制动过程中车轮受到的正压力不仅是汽车的质量的函数,而且是汽车的线加速度以及车身参数的函数,其关系如下:The positive pressure on the wheels of the car during braking is not only a function of the mass of the car, but also a function of the linear acceleration of the car and the parameters of the body. The relationship is as follows:

N 1 = M ( ( b &CenterDot; g - v . x h ) / 2 L + v . y h / 2 C ) N 2 = M ( ( b &CenterDot; g - v . x h ) / 2 L - v . y h / 2 C ) N 3 = M ( ( a &CenterDot; g + v . x h ) / 2 L + v . y h / 2 C ) N 4 = M ( ( a &CenterDot; g + v . x h ) / 2 L - v . y h / 2 C ) 其中Ni是第i个车轮受到的正压力,M是整车质量,vx是车辆纵向速度,vy是车辆横向速度,C车辆轴距,a、b是前轴和后轴到车辆质心的距离,L是车辆轴距。 N 1 = m ( ( b &CenterDot; g - v . x h ) / 2 L + v . the y h / 2 C ) N 2 = m ( ( b &CenterDot; g - v . x h ) / 2 L - v . the y h / 2 C ) N 3 = m ( ( a &CenterDot; g + v . x h ) / 2 L + v . the y h / 2 C ) N 4 = m ( ( a &CenterDot; g + v . x h ) / 2 L - v . the y h / 2 C ) Where N i is the positive pressure on the i-th wheel, M is the mass of the vehicle, v x is the longitudinal velocity of the vehicle, v y is the lateral velocity of the vehicle, C is the wheelbase of the vehicle, a and b are the front and rear axles to the center of mass of the vehicle The distance, L is the vehicle wheelbase.

由于vy很小,上式可简化为 N 1 = M ( b &CenterDot; g - v . x h ) / 2 L N 2 = M ( b &CenterDot; g - v . x h ) / 2 L N 3 = M ( a &CenterDot; g + v . x h ) / 2 L N 4 = M ( a &CenterDot; g + v . x h ) / 2 L Since v y is very small, the above formula can be simplified as N 1 = m ( b &Center Dot; g - v . x h ) / 2 L N 2 = m ( b &Center Dot; g - v . x h ) / 2 L N 3 = m ( a &CenterDot; g + v . x h ) / 2 L N 4 = m ( a &CenterDot; g + v . x h ) / 2 L

则任意一个车轮与地面的附着系数可由下式求得: &mu; i = N i F si Then the adhesion coefficient between any wheel and the ground can be obtained by the following formula: &mu; i = N i f the si

6、根据传感器采集的当前路面滑移率,由理论公式计算在当前滑移率下不同路面的理论附着系数,并存入存储器中。汽车在不同的路面行驶时,车轮受到的摩擦力与滑移率有关,在相同滑移率s下,不同路面产生的附着系数μ不同,其关系如下:6. According to the current road surface slip rate collected by the sensor, the theoretical adhesion coefficient of different road surfaces under the current slip rate is calculated by the theoretical formula, and stored in the memory. When the car is running on different road surfaces, the friction force on the wheels is related to the slip rate. Under the same slip rate s, the adhesion coefficient μ produced by different road surfaces is different, and the relationship is as follows:

将由正压力与摩擦力计算得到的当前附着系数与相应路面的理论附着系数连续进行计算并对比,若当前附着系数连续两次都与某种路面下的理论附着系数接近,则可判断车轮在该路面上,以及汽车当前行驶的路面状态。The current adhesion coefficient calculated from the positive pressure and friction force is continuously calculated and compared with the theoretical adhesion coefficient of the corresponding road surface. If the current adhesion coefficient is close to the theoretical adhesion coefficient under a certain road surface for two consecutive times, it can be judged that the wheel is on the road. On the road, and the state of the road the car is currently driving on.

本发明方法简单,计算迅速,只需要根据4个车轮的角加速度计算车轮受到的地面摩擦力和汽车的质量,再由此计算车轮受到的正压力并得到当前附着系数,然后根据车轮的滑移率计算车轮在不同路面下的理论附着系数,最后将当前附着系数和理论附着系数进行对比由此判断汽车行驶的路面状态。该方法克服了基于神经网络的路面辨识方法需要大量的样本数据对网络进行训练,并且成本高的缺点。The method of the invention is simple and the calculation is rapid. It only needs to calculate the ground friction force and the mass of the car according to the angular acceleration of the four wheels, and then calculate the normal pressure on the wheels and obtain the current adhesion coefficient, and then according to the slippage of the wheels Calculate the theoretical adhesion coefficient of the wheel on different road surfaces, and finally compare the current adhesion coefficient with the theoretical adhesion coefficient to judge the state of the road on which the car is driving. This method overcomes the shortcomings of the neural network-based road surface recognition method that requires a large amount of sample data to train the network and has high costs.

Claims (5)

1、一种载重车ABS路面辨识方法,其特征在于,包括如下步骤:1. A truck ABS road identification method, characterized in that, comprising the steps: (1)轮速传感器在线提取制动过程中汽车轮速信号,根据轮速信号计算汽车制动中车轮的滑移率;(1) The wheel speed sensor extracts the vehicle wheel speed signal during the braking process online, and calculates the slip rate of the wheel during vehicle braking according to the wheel speed signal; (2)根据制动气室的气体压力计算汽车制动器产生的制动力矩;(2) Calculate the braking torque produced by the automobile brake according to the gas pressure in the brake chamber; (3)由车轮受到的制动器产生的制动力矩和车轮的角加速度确定车轮受到的地面摩擦力;(3) The ground friction force received by the wheel is determined by the braking torque generated by the brake on the wheel and the angular acceleration of the wheel; (4)根据地面摩擦力以及车身的加速度计算汽车的质量,再根据质量确定汽车的质心高度和质心距前轴与后轴的距离,根据质量、车身加速度以及车身参数确定车轮受到的正压力;(4) Calculate the quality of the car according to the ground friction force and the acceleration of the vehicle body, then determine the height of the center of mass and the distance between the center of mass and the front axle and the rear axle of the car according to the quality, and determine the normal pressure on the wheels according to the mass, vehicle body acceleration and vehicle body parameters; (5)根据车轮受到的地面摩擦力与正压力确定当前附着系数;(5) Determine the current adhesion coefficient according to the ground friction force and normal pressure received by the wheel; (6)提取在当前滑移率下不同路面的理论附着系数;(6) Extract the theoretical adhesion coefficients of different road surfaces under the current slip rate; (7)比较当前附着系数与理论附着系数,若连续两次比较结果接近某种路面下的理论附着系数,则判断车轮在该路面上。(7) Compare the current adhesion coefficient with the theoretical adhesion coefficient. If the result of two consecutive comparisons is close to the theoretical adhesion coefficient under a certain road surface, it is judged that the wheel is on the road surface. 2、根据权利要求1所述的方法,其特征在于:所述轮速信号包括汽车的线速度、车轮角速度。2. The method according to claim 1, wherein the wheel speed signal includes the vehicle's linear velocity and wheel angular velocity. 3、根据权利要求1所述的方法,其特征在于:根据轮速传感器测得的车轮转速确定车轮的角加速度,采用最大轮速法计算车身的加速度。3. The method according to claim 1, characterized in that: the angular acceleration of the wheel is determined according to the wheel speed measured by the wheel speed sensor, and the acceleration of the vehicle body is calculated using the maximum wheel speed method. 4、根据权利要求1至3其中之一所述的方法,其特征在于:制动力矩Mb与制动气室的气体压力P满足以下关系式: M b = 0 P - P m < 0 k p ( P - P m ) P - P m > 0 ,其中,Pm为克服制动缸中的弹簧力所需的压力,kp为制动器制动因数。4. The method according to any one of claims 1 to 3, characterized in that: the braking torque Mb and the gas pressure P of the braking chamber satisfy the following relationship: m b = 0 P - P m < 0 k p ( P - P m ) P - P m > 0 , where P m is the pressure required to overcome the spring force in the brake cylinder, and k p is the braking factor of the brake. 5、根据权利要求1至3其中之一所述的方法,其特征在于:由公式 &mu; i = N i F si 确定当前附着系数μi,其中Ni和Fsi分别表示第i个车轮受到的正压力和地面摩擦力。5. The method according to any one of claims 1 to 3, characterized in that: by the formula &mu; i = N i f the si Determine the current adhesion coefficient μ i , where N i and F si represent the normal pressure and ground friction of the i-th wheel, respectively.
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