CN102009654B - Longitudinal speed evaluation method of full-wheel electrically-driven vehicle - Google Patents
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Abstract
本发明涉及一种全轮电驱动车辆的纵向车速估计方法,其包括:1)设置一车速测量系统;2)实时采集和
、和;3)采取卡尔曼滤波方式对采集到的信号进行滤波处理;4)构建基于卡尔曼滤波器空间方程结构的车速估计和基于加速度积分的车速估计;5)利用车速估计算法切换判别:设定滑转/滑移率绝对值|λ|的阀值为ε,当|λ|<ε时,采用基于卡尔曼滤波的车速估计公式,当|λ|≥ε时,采用基于加速度积分的车速估计公式。本发明适用于全轮电驱动车辆的在线车速估计,包括在车轮出现过度滑转/滑移、甚至抱死时也能对纵向车速进行准确观测。The present invention relates to a method for estimating the longitudinal vehicle speed of an all-wheel electric drive vehicle, which includes: 1) setting a vehicle speed measurement system; 2) real-time acquisition and
, and ; 3) Adopt Kalman filter method to filter the collected signal; 4) Construct the vehicle speed estimation based on the Kalman filter space equation structure and the vehicle speed estimation based on the acceleration integral; 5) Use the vehicle speed estimation algorithm to switch the discrimination: set The threshold value of slip/slip rate absolute value |λ| is ε, when |λ|<ε, the vehicle speed estimation formula based on Kalman filter is used, and when |λ|≥ε, the vehicle speed estimation based on acceleration integral is used formula. The present invention is suitable for online vehicle speed estimation of all-wheel electric drive vehicles, including accurate observation of the longitudinal vehicle speed when the wheels appear to slip/skid excessively or even locked.Description
技术领域 technical field
本发明涉及一种汽车车速估计方法,尤其是涉及一种实时在线估计全轮电驱动车辆纵向车速的方法。 The invention relates to a vehicle speed estimation method, in particular to a method for real-time online estimation of the longitudinal vehicle speed of an all-wheel electric drive vehicle. the
背景技术 Background technique
在车辆动力学控制过程中,对车辆实时状态的监控占有十分重要的地位。一些关键车辆状态的观测精度直接决定了车辆动力学控制的效果。车辆状态观测系统根据车载传感器对车辆关键状态参数进行在线实时估计,将有效信息传递给控制系统,从而实现对车辆状态的有效控制。车速是设计车辆稳定性控制器参数的重要参考依据,利用车载普通传感器对车速进行实时在线估计是车辆稳定性控制所需要的关键技术之一。 In the process of vehicle dynamics control, the monitoring of the real-time state of the vehicle plays a very important role. The observation accuracy of some key vehicle states directly determines the effect of vehicle dynamics control. The vehicle state observation system conducts online real-time estimation of the key state parameters of the vehicle according to the on-board sensors, and transmits effective information to the control system, thereby realizing effective control of the vehicle state. Vehicle speed is an important reference for designing the parameters of vehicle stability controllers. Real-time online estimation of vehicle speed using common sensors on the vehicle is one of the key technologies required for vehicle stability control. the
现有基于车载普通传感器进行车速估计的方法主要有两种。方法一:是由轮速信号还原,即vx=ωr±0.5wγ,其中,vx是纵向车速估计值,r是轮胎半径,w是轴距,γ是横摆角速度。在非驱动轮自由转动状态下,可以直接根据该式得到纵向车速。但全轮独立电驱动车辆不存在非驱动轮,在驱动/制动过程中,始终有滑转/滑移的存在。如果直接利用非驱动轮轮速信号还原,滑转/滑移率将会使车速估计误差较大。因此,基于轮速信号还原车速的方法无法直接应用于全轮独立电驱动车辆。方法二:基于纵向加速度信号进行纵向车速还原,即vx=v0+∫axdt,其中,v0是积分初始速度,ax是纵向加速度信号,t是积分时间长度。该方法的优点在于不受制动或驱动工况的影响,但是由于纵向加速度信号带有噪声,长时间的积分会导致结果严重偏离真实值,因此该方法只能在短时间内使用,不适用于全轮独立电驱动车辆长时间车速估计。同时,在这种方法中,如何确定积分初始值也是一个重要问题。 There are two main methods for vehicle speed estimation based on vehicle-mounted common sensors. Method 1: Restore by wheel speed signal, that is, v x = ωr±0.5wγ, where v x is the estimated longitudinal vehicle speed, r is the tire radius, w is the wheelbase, and γ is the yaw rate. In the state of free rotation of the non-driving wheels, the longitudinal vehicle speed can be obtained directly according to this formula. However, all-wheel independent electric drive vehicles do not have non-driving wheels, and there is always slipping/slipping during the driving/braking process. If the non-driving wheel speed signal is directly used to restore, the slip/slip rate will cause a large error in the vehicle speed estimation. Therefore, the method of restoring vehicle speed based on wheel speed signals cannot be directly applied to all-wheel independent electric drive vehicles. Method 2: Restore the longitudinal vehicle speed based on the longitudinal acceleration signal, that is, v x =v 0 +∫a x dt, where v 0 is the initial speed of integration, a x is the longitudinal acceleration signal, and t is the integration time length. The advantage of this method is that it is not affected by braking or driving conditions, but because the longitudinal acceleration signal is noisy, the long-term integration will cause the result to seriously deviate from the true value, so this method can only be used in a short time and is not applicable Long-term speed estimation for all-wheel independent electric drive vehicles. At the same time, in this method, how to determine the initial value of the integral is also an important issue.
一些学者还研究了基于滑模算法的车速观测以及基于非线性状态观测器的车速观测算法。这些算法采用复杂的非线性车辆、轮胎模型,在车速观测中考虑了非线性特性对车速观测精度的影响。采用这些算法进行车速估计时,精度一般较高,但由于牵涉到较多的非线性迭代计算,实时性受到了较大影响。 Some scholars have also studied the speed observation algorithm based on the sliding mode algorithm and the speed observation algorithm based on the nonlinear state observer. These algorithms use complex nonlinear vehicle and tire models, and consider the influence of nonlinear characteristics on the accuracy of vehicle speed observation in vehicle speed observation. When these algorithms are used for vehicle speed estimation, the accuracy is generally high, but because more nonlinear iterative calculations are involved, the real-time performance is greatly affected. the
发明内容 Contents of the invention
针对上述问题,本发明的目的是提供一种高效、准确并能够实时在线提供全轮电驱动车辆纵向车速的估计方法。 In view of the above problems, the object of the present invention is to provide an efficient and accurate method for estimating the longitudinal speed of an all-wheel electric drive vehicle online in real time. the
为实现上述目的,本发明采取以下技术方案:一种全轮电驱动车辆的纵向车 速估计方法,其包括以下步骤: In order to achieve the above object, the present invention adopts the following technical solutions: a method for estimating the longitudinal speed of an all-wheel electric drive vehicle, which comprises the following steps:
1)设置一车速测量系统,其包括纵向加速度传感器、方向盘转角传感器和轮胎转速传感器; 1) A vehicle speed measurement system is set, which includes a longitudinal acceleration sensor, a steering wheel angle sensor and a tire rotational speed sensor;
2)通过车速测量系统实时采集到轮胎转速信号、转向盘转角信号和汽车质心纵向加速度信号,轮胎的轮边速度为; 2) The tire speed signal is collected in real time through the vehicle speed measurement system , steering wheel angle signal and the longitudinal acceleration signal of the vehicle center of mass , the rim speed of the tire is ;
3)采取卡尔曼滤波方式对采集到的信号进行滤波处理; 3) The collected signal is filtered by Kalman filter;
4)利用滤波处理后的信号,采用两种方法对车速进行在线估计: 4) Using the filtered signal, two methods are used to estimate the vehicle speed online:
I、构建基于卡尔曼滤波器空间方程结构的车速估计 I. Construction of vehicle speed estimation based on Kalman filter space equation structure
①根据车辆运动学得到如下关系式: ① According to the vehicle kinematics, the following relationship is obtained:
ax(t)=v′x-vyγ (4) a x (t) = v′ x -v y γ (4)
vw(t)=vx(t)+Δv (5) v w (t) = v x (t) + Δv (5)
②对式(4)、(5)做离散化处理得到: ② Discretize equations (4) and (5) to get:
vx(k+1)=vx(k)+axΔT+vy(k)γ(k)ΔT (6) v x (k+1)=v x (k)+a x ΔT+v y (k)γ(k)ΔT (6)
vw(k)=vx(k)+Δv (7) v w (k) = v x (k) + Δv (7)
③将式(6)中ws=vy(k)γ(k)ΔT定义为系统的过程噪声,将式(7)中w0=Δv定义为系统的观测噪声,即可得到卡尔曼滤波器的空间方程结构: ③Define w s =v y (k)γ(k)ΔT in formula (6) as the process noise of the system, and define w 0 =Δv in formula (7) as the observation noise of the system, then the Kalman filter can be obtained The space equation structure of the device:
状态方程vx(k+1)=vx(k)+axΔT+ws (8) Equation of state v x (k+1)=v x (k)+a x ΔT+w s (8)
观测方程vw(k)=vx(k)+w0 (9) Observation equation v w (k) = v x (k) + w 0 (9)
通过卡尔曼滤波器的空间方程结构即可估计车辆的在线车速; The online speed of the vehicle can be estimated through the space equation structure of the Kalman filter;
II、构建基于加速度积分的车速估计 II. Construction of vehicle speed estimation based on acceleration integral
当车轮进入过度滑转/滑移阶段,此时,纵向车速的一阶导数和纵向加速度具有如下的关系 When the wheel enters the excessive slip/slip phase, at this time, the first derivative of the longitudinal vehicle speed and the longitudinal acceleration have the following relationship
v′x=ax+vyγ (10) v′ x =a x +v y γ (10)
对(10)积分得到 For (10) points get
vx=v0+∫(ax+vyγ)dt (11) v x =v 0 +∫(a x +v y γ)dt (11)
其中,v0是初始车速,此时将上一时刻基于卡尔曼滤波的车速估计值vx作为加速度积分的初始值,构建基于加速度积分的车速估计; Wherein, v 0 is the initial vehicle speed, at this moment, the vehicle speed estimation value v x based on the Kalman filter is used as the initial value of the acceleration integral at this moment, and the vehicle speed estimation based on the acceleration integral is constructed;
5)利用车速估计算法切换判别: 5) Use the speed estimation algorithm to switch the discrimination:
设定滑转/滑移率绝对值|λ|的阀值为ε, Set the slip/slip rate absolute value |λ| threshold to ε,
当|λ|<ε时,认为没有发生过度滑转/滑移,此时采用4)中所述的基于卡尔曼滤波的车速估计公式, When |λ|<ε, it is considered that there is no excessive slip/slip, and at this time, the vehicle speed estimation formula based on Kalman filter described in 4) is adopted,
当|λ|≥ε时,认为车轮进入过度滑转/滑移阶段,此时采用4)中所述的基于加速度积分的车速估计公式。 When |λ|≥ε, it is considered that the wheel enters the excessive slip/slip phase, and the vehicle speed estimation formula based on acceleration integral described in 4) is used at this time. the
在步骤4)中,假设ws为独立的高斯分布随机信号,并假设其方差阵为Q,定义为过程噪声,则对其按如下方法进行调节:根据二自由度车辆模型,车辆的横摆角速度γ和侧向车速vy均是前轮转角δf的线性函数,ws可以看作转向盘转角的二次函数,即,其中kQ是由车辆状态,尤其是车速决定的参数。 In step 4), assuming that w s is an independent Gaussian distribution random signal, and assuming its variance matrix is Q, which is defined as process noise, it is adjusted as follows: According to the two-degree-of-freedom vehicle model, the yaw of the vehicle Both the angular velocity γ and the lateral velocity v y are linear functions of the front wheel angle δ f , and w s can be regarded as a quadratic function of the steering wheel angle, namely , where k Q is a parameter determined by the vehicle state, especially the vehicle speed.
在步骤4)中,假设w0为独立的高斯分布随机信号,并假设其方差阵为R,定义为观测噪声,则对其按如下方法进行调节:当轮胎出现滑转/滑移时,轮胎的滑转/移率的绝对值|λ|,以及车轮转动角加速度aw和质心纵向加速度ax之间的差值绝对值|ax-aw|均会发生变化,因此在制定模糊规则时,选取|λ|和Δa=|ax-aw|作为模糊规则的输入,建立如下模糊推理调节规则关系: In step 4), it is assumed that w 0 is an independent random signal with Gaussian distribution, and its variance matrix is assumed to be R, which is defined as observation noise, and it is adjusted as follows: When the tire slips/skids, the tire The absolute value of the slip/shift rate |λ|, and the absolute value of the difference between the angular acceleration a w of the wheel and the longitudinal acceleration a x of the center of mass |a x -a w | will all change, so when formulating fuzzy rules , select |λ| and Δa=|a x -a w | as the input of fuzzy rules, and establish the following relation of fuzzy inference adjustment rules:
其中S,M,L,VL代表小、中、大和很大。 Among them, S, M, L, and VL represent small, medium, large and very large. the
本发明由于采取以上技术方案,其具有以下优点:1、该方法适用于全轮电驱动车辆的在线车速估计;2、在车轮出现过度滑转/滑移,甚至完全抱死时也能对纵向车速进行准确观测,该方法具有较高的精度;3、发明考虑了转向对轮速的影响,使得在转向过程中的车速估计也更加准确。 Due to the adoption of the above technical solutions, the present invention has the following advantages: 1. The method is suitable for online speed estimation of all-wheel electric drive vehicles; Accurately observe the vehicle speed, the method has high precision; 3. The invention considers the influence of steering on the wheel speed, so that the vehicle speed estimation during the steering process is also more accurate. the
附图说明 Description of drawings
图1是本发明的总体架构示意图; Fig. 1 is a schematic diagram of the overall architecture of the present invention;
图2是本发明的过程噪声Q调节MAP图; Fig. 2 is process noise Q adjustment MAP figure of the present invention;
图3是本发明的|λ|隶属度函数图; Fig. 3 is the |λ| membership function figure of the present invention;
图4是本发明的|Δa|的隶属度函数图; Fig. 4 is the membership function diagram of |Δa| of the present invention;
图5是本发明的观测噪声R的隶属度函数图; Fig. 5 is the membership function figure of observation noise R of the present invention;
图6是本发明的观测噪声R的调整映射图。 FIG. 6 is an adjustment map of observation noise R according to the present invention. the
具体实施方式 Detailed ways
下面结合附图和实施例对本发明进行详细的描述。 The present invention will be described in detail below in conjunction with the accompanying drawings and embodiments. the
本发明的车速测量系统采集车载普通传感器信号(包括纵向加速度传感器信号、方向盘转角传感器信号)和驱动电机反馈信号(即轮胎转速信号),利用基于卡尔曼滤波的车速估计方法和基于加速度积分的车速估计方法分别进行估计,并采取滑转率门限值的方式进行切换判别,进而得到了较为准确的车速值。 The vehicle speed measuring system of the present invention collects vehicle-mounted general sensor signals (comprising longitudinal acceleration sensor signals, steering wheel angle sensor signals) and drive motor feedback signals (i.e. tire rotational speed signals), utilizes the vehicle speed estimation method based on Kalman filter and the vehicle speed based on acceleration integral The estimation method is estimated separately, and the slip rate threshold value is used to switch and judge, and then a more accurate vehicle speed value is obtained. the
如图1所示,本发明方法包括以下步骤: As shown in Figure 1, the inventive method comprises the following steps:
1)信号采集 1) Signal acquisition
实时采集车辆的轮速、纵向加速度和方向盘转角等信息。采集到轮胎转速信号、转向盘转角信号和汽车质心纵向加速度信号。轮胎的轮边速度为。 Real-time collection of vehicle wheel speed, longitudinal acceleration and steering wheel angle and other information. Collected tire speed signal , steering wheel angle signal and the longitudinal acceleration signal of the vehicle center of mass . The rim speed of the tire is .
2)对采集的信号进行滤波处理 2) Filter the collected signal
由于信号采集和传输过程中夹杂入了环境噪声,采集得到的原始信号往往带有毛刺和误差。这种带有高频噪声的信号不仅本身无法满足使用要求,而且在获取延伸导数信号时会把这种误差进一步放大,导致结果无法辨识。因此在使用之前必须对这些信号进行滤波处理,滤波器应满足以下要求:阶次低,信号平滑。据此可以设计任何一种满足要求的滤波器来进行滤波处理,本发明采取卡尔曼滤波的方式对采集到的信号进行滤波处理。 Due to the inclusion of environmental noise in the process of signal acquisition and transmission, the acquired original signal often has glitches and errors. This signal with high-frequency noise not only cannot meet the requirements of use, but also will further amplify this error when obtaining the extended derivative signal, resulting in unrecognizable results. Therefore, these signals must be filtered before use, and the filter should meet the following requirements: the order is low and the signal is smooth. Based on this, any filter that meets the requirements can be designed to perform filtering processing. The present invention adopts a Kalman filtering method to perform filtering processing on the collected signals. the
卡尔曼滤波是一种建立在时间序列理论基础上的最优滤波方法。采用卡尔曼滤波方法不仅能够对原始信号进行在线实时滤波,同时,利用卡尔曼滤波器基于状态空间方程的特点,可以自发的从卡尔曼滤波器中还原原始信号的延伸导数信号。 Kalman filtering is an optimal filtering method based on time series theory. Using the Kalman filter method can not only filter the original signal online in real time, but also use the characteristics of the Kalman filter based on the state space equation to spontaneously restore the extended derivative signal of the original signal from the Kalman filter. the
通过本步骤的滤波信号处理,得到较为平滑的轮边速度vw,轮边加速度aw,纵向加速度ax和方向盘转角δw信号。 Through the filtering signal processing in this step, relatively smooth wheel edge velocity v w , wheel edge acceleration a w , longitudinal acceleration a x and steering wheel angle δ w signals are obtained.
3)构建基于卡尔曼滤波的车速估计方法 3) Construct a vehicle speed estimation method based on Kalman filter
设定滑转/滑移率绝对值|λ|的阀值为ε,当|λ|<ε时,认为没有发生过度滑转/滑移,此时,运用基于卡尔曼滤波的车速估计方法会得到比较好的结果。 Set the threshold value of the absolute value of the slip/slip rate |λ| to ε, when |λ|<ε, it is considered that there is no excessive slip/slip, at this time, using the Kalman filter-based vehicle speed estimation method will get better results. the
根据车辆运动学得到如下关系式: According to the vehicle kinematics, the following relationship is obtained:
ax(t)=v′x-vyγ (4) a x (t) = v′ x -v y γ (4)
vw(t)=vx(t)+Δv (5) v w (t) = v x (t) + Δv (5)
对式(4)、(5)做离散化处理得到: Discretize equations (4) and (5) to get:
vx(k+1)=vx(k)+axΔT+vy(k)γ(k)ΔT (6) v x (k+1)=v x (k)+a x ΔT+v y (k)γ(k)ΔT (6)
vw(k)=vx(k)+Δv (7) v w (k) = v x (k) + Δv (7)
将式(6)中ws=vy(k)γ(k)ΔT定义为系统的过程噪声,将式(7)中w0=Δv定义为系统的观测噪声,式(6)、(7)可以改写为如下: Define w s =v y (k)γ(k)ΔT in formula (6) as the process noise of the system, define w 0 =Δv in formula (7) as the observation noise of the system, formulas (6), (7 ) can be rewritten as follows:
状态方程vx(k+1)=vx(k)+axΔT+ws (8) Equation of state v x (k+1)=v x (k)+a x ΔT+w s (8)
观测方程vw(k)=vx(k)+w0 (9) Observation equation v w (k) = v x (k) + w 0 (9)
假设ws和w0均为独立的高斯分布随机信号,并假设其方差阵分别为Q和R。通过式(8)、(9)即可以构成完整的卡尔曼滤波器的空间方程结构。 Assume w s and w 0 are both independent Gaussian distributed random signals, and assume their variance matrices are Q and R, respectively. The space equation structure of the complete Kalman filter can be formed by formulas (8) and (9).
卡尔曼滤波算法中的过程噪声和观测噪声受车辆状态影响,在估计车速时,根据车辆当前状态对过程噪声和观测噪声进行在线调节,可以获得更加准确的结果。 The process noise and observation noise in the Kalman filter algorithm are affected by the state of the vehicle. When estimating the vehicle speed, the process noise and observation noise can be adjusted online according to the current state of the vehicle to obtain more accurate results. the
过程噪声方差Q的调节:过程噪声ws=vy(k)γ(k)ΔT取决于车辆是否发生转向。根据二自由度车辆模型,车辆的横摆角速度γ和侧向车速vy均是前轮转角δw的线性函数。因此过程噪声ws可以看作转向盘转角的二次函数,即,其中kQ是由车辆状态,尤其是车速决定的参数。图2是过程噪声方差Q随前轮转角和车速变化的调节曲线。 Adjustment of process noise variance Q: Process noise w s =v y (k)γ(k)ΔT depends on whether the vehicle turns or not. According to the two-degree-of-freedom vehicle model, the vehicle's yaw rate γ and lateral velocity v y are both linear functions of the front wheel rotation angle δ w . Therefore, the process noise w s can be regarded as a quadratic function of the steering wheel angle, namely , where k Q is a parameter determined by the vehicle state, especially the vehicle speed. Fig. 2 is the adjustment curve of process noise variance Q changing with front wheel angle and vehicle speed.
观测噪声方差R的调节:观测噪声w0=Δv表征轮速和车速之间的差别。当滑转/移率较低时,轮速和车速之间差值较小,因而观测噪声方差R也应该相应较小。当轮胎开始出现滑移/滑转加大时,轮速和车速之间的差异逐渐增大,此时观测噪声方差R也应相应的增大。为了能更好的对噪声方差R进行调节,此处采用模糊调节的方式。当轮胎出现滑转/滑移时,轮胎的滑转/移率的绝对值|λ|,以及车轮转动角加速度(折算为切向加速度)和质心纵向加速度之间的差值绝对值|ax-aw|均会发生变化。因此在制定模糊规则时,选取|λ|和Δa=|ax-aw|作为模糊规则的输入。下表所示为观测噪声R的模糊推理调节规则。 Adjustment of observed noise variance R: observed noise w 0 =Δv characterizes the difference between wheel speed and vehicle speed. When the slip/shift rate is low, the difference between wheel speed and vehicle speed is small, so the observed noise variance R should be correspondingly small. When the tire starts to slip/skid, the difference between the wheel speed and the vehicle speed gradually increases, and the observed noise variance R should also increase accordingly. In order to better adjust the noise variance R, a fuzzy adjustment method is adopted here. When the tire slips/slips, the absolute value of the tire's slip/move rate |λ|, and the absolute value of the difference between the angular acceleration of the wheel rotation (converted to tangential acceleration) and the longitudinal acceleration of the center of mass |a x -a w | both change. Therefore, when formulating fuzzy rules, choose |λ| and Δa=|a x -a w | as the input of fuzzy rules. The following table shows the fuzzy inference regulation rules for observation noise R.
表格1观测噪声R的模糊规则调节 Table 1 Fuzzy rule adjustment of observation noise R
其中分别以S,M,L,VL代表小、中、大和很大,设计各输入输出量的隶属度函数(如图3、图4和图5所示)。图6所示为观测噪声R的调整曲面。 Among them, S, M, L, VL represent small, medium, large and very large respectively, and design the membership function of each input and output (as shown in Fig. 3, Fig. 4 and Fig. 5). Figure 6 shows the adjustment surface for the observed noise R. the
4)构建基于加速度积分的车速估计方法 4) Construct a vehicle speed estimation method based on acceleration integral
当|λ|≥ε时,认为车轮进入过度滑转/滑移阶段,此时,切换为基于加速度积分的车速估计算法会得到比较好的效果。 When |λ|≥ε, it is considered that the wheel enters the excessive slip/slip stage. At this time, switching to the speed estimation algorithm based on acceleration integration will get better results. the
如式(10)所示,纵向车速的一阶导数和纵向加速度具有如下的关系 As shown in formula (10), the first derivative of longitudinal vehicle speed and longitudinal acceleration have the following relationship
v′x=ax+vyγ (10) v′ x =a x +v y γ (10)
对(10)积分得到 For (10) points get
vx=v0+∫(ax+vyγ)dt (11) v x =v 0 +∫(a x +v y γ)dt (11)
其中,v0是初始车速,当切换为基于加速度积分的估计算法时,将上一时刻基于卡尔曼滤波的车速估计值vx作为加速度积分的初始值。一般的,当估计算法切换为基于加速度积分的算法时,一定是在紧急制动,加速度较大时的情况。在这种情况下,vyγ项相对于ax为小项。同时,在配备了ABS的车辆上,轮胎发生制动抱死的时间一般非常短,在这种情况下,式(11)可以近似为 Among them, v 0 is the initial vehicle speed. When switching to the estimation algorithm based on the acceleration integral, the estimated value v x of the vehicle speed based on the Kalman filter at the previous moment is used as the initial value of the acceleration integral. Generally, when the estimation algorithm is switched to an algorithm based on acceleration integral, it must be the case of emergency braking and high acceleration. In this case, the term v y γ is a minor term relative to a x . At the same time, on vehicles equipped with ABS, the time for tires to lock up is generally very short. In this case, equation (11) can be approximated as
vx=v0+∫axdt (12) v x =v 0 +∫a x dt (12)
且在该较短的积分时间内可以忽略由于加速度噪声积分引起的误差。 And the error caused by acceleration noise integration can be ignored in this short integration time. the
5)车速估计算法切换判别 5) Speed estimation algorithm switching discrimination
设定滑转/滑移率绝对值|λ|的阀值为ε,当|λ|<ε时,认为没有发生过度滑转/滑移,当|λ|≥ε时,认为车轮进入过度滑转/滑移阶段。 Set the threshold value of the absolute value of slip/slip ratio |λ| to ε, when |λ|<ε, it is considered that there is no excessive slip/slip, and when |λ|≥ε, it is considered that the wheel enters excessive slip turn/slip phase. the
当|λ|<ε时,认为没有发生过度滑转/滑移,此时采用3)中所述的基于卡尔曼滤波的车速估计方法,通过卡尔曼滤波迭代,可以估计出各个时刻车辆的速度。 When |λ|<ε, it is considered that there is no excessive slip/slip, and at this time, the vehicle speed estimation method based on Kalman filter described in 3) can be used to estimate the vehicle speed at each moment through Kalman filter iterations . the
当|λ|≥ε时,认为车轮进入过度滑转/滑移阶段,此时切换为4)中所述的基于加速度积分的车速估计方法。这是因为,基于式(9)的卡尔曼滤波器是以轮速信号vw作为反馈校正机制的,当车轮发生过度滑转/滑移时,轮速和车速关联性很小;在车轮发生抱死或者完全滑转时,轮速和车速之间不再关联。此时,若仍然采用卡尔曼滤波器算法,得到的结果将出现较大的偏差。 When |λ|≥ε, it is considered that the wheel enters the excessive slip/slip phase, and at this time switch to the vehicle speed estimation method based on acceleration integration described in 4). This is because the Kalman filter based on formula (9) uses the wheel speed signal v w as the feedback correction mechanism. When the wheel slips/slips excessively, the correlation between the wheel speed and the vehicle speed is small; In the event of a lockup or full spin, there is no correlation between wheel speed and vehicle speed. At this time, if the Kalman filter algorithm is still used, the obtained results will have a large deviation.
当滑转率绝对值|λ|再次满足|λ|<ε时,认为车轮退出了过度滑转/滑移阶段,可以切换回3)中所述的基于卡尔曼滤波的车速估计方法,卡尔曼滤波的初值为上一时刻基于加速度积分得到的速度值。 When the absolute value of the slip rate |λ| satisfies |λ|<ε again, it is considered that the wheel has exited the excessive slip/slip phase, and it can be switched back to the Kalman filter-based vehicle speed estimation method described in 3), Kalman The initial value of the filter is the velocity value obtained based on the acceleration integration at the previous moment. the
通过以上的车速估计方法,在每一个采样时刻k可得车速估计值。 Through the above vehicle speed estimation method, the estimated value of vehicle speed can be obtained at each sampling time k .
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