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CN113460055B - Online Vehicle Driving Control Area Division and Area Boundary Estimation Method - Google Patents

Online Vehicle Driving Control Area Division and Area Boundary Estimation Method Download PDF

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CN113460055B
CN113460055B CN202110656407.XA CN202110656407A CN113460055B CN 113460055 B CN113460055 B CN 113460055B CN 202110656407 A CN202110656407 A CN 202110656407A CN 113460055 B CN113460055 B CN 113460055B
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CN113460055A (en
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李梓涵
王萍
刘胜涛
林佳眉
胡云峰
陈虹
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Jilin University
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60WCONJOINT CONTROL OF VEHICLE SUB-UNITS OF DIFFERENT TYPE OR DIFFERENT FUNCTION; CONTROL SYSTEMS SPECIALLY ADAPTED FOR HYBRID VEHICLES; ROAD VEHICLE DRIVE CONTROL SYSTEMS FOR PURPOSES NOT RELATED TO THE CONTROL OF A PARTICULAR SUB-UNIT
    • B60W40/00Estimation or calculation of non-directly measurable driving parameters for road vehicle drive control systems not related to the control of a particular sub unit, e.g. by using mathematical models
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60WCONJOINT CONTROL OF VEHICLE SUB-UNITS OF DIFFERENT TYPE OR DIFFERENT FUNCTION; CONTROL SYSTEMS SPECIALLY ADAPTED FOR HYBRID VEHICLES; ROAD VEHICLE DRIVE CONTROL SYSTEMS FOR PURPOSES NOT RELATED TO THE CONTROL OF A PARTICULAR SUB-UNIT
    • B60W30/00Purposes of road vehicle drive control systems not related to the control of a particular sub-unit, e.g. of systems using conjoint control of vehicle sub-units
    • B60W30/02Control of vehicle driving stability
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60WCONJOINT CONTROL OF VEHICLE SUB-UNITS OF DIFFERENT TYPE OR DIFFERENT FUNCTION; CONTROL SYSTEMS SPECIALLY ADAPTED FOR HYBRID VEHICLES; ROAD VEHICLE DRIVE CONTROL SYSTEMS FOR PURPOSES NOT RELATED TO THE CONTROL OF A PARTICULAR SUB-UNIT
    • B60W50/00Details of control systems for road vehicle drive control not related to the control of a particular sub-unit, e.g. process diagnostic or vehicle driver interfaces

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Abstract

An online vehicle running control area division and area boundary estimation method belongs to the technical field of vehicle safety. The invention aims to obtain an online vehicle running control area division and area boundary estimation method related to a centroid side deviation angle and a yaw rate control area on line according to the behavior of a driver and the information of the running road condition and by considering the lateral-longitudinal-vertical dynamic characteristics of a vehicle. The method comprises the following steps: setting software combined simulation and building a vehicle model; and dividing a vehicle running control area and estimating a boundary. The control area is divided into a stable area, an unstable area and a critical stable area serving as a transition area, different control requirements are given to different areas, and the application potential of the control area in stability control can be better developed.

Description

在线的车辆行驶控制区域划分及区域边界估计方法Online Vehicle Driving Control Area Division and Area Boundary Estimation Method

技术领域technical field

本发明属于车辆安全技术领域。The invention belongs to the technical field of vehicle safety.

背景技术Background technique

在车辆行驶过程中,车辆状态会根据道路情况以及驾驶员行为实时变化,对于车辆稳定性,可将直观反映操纵性和稳定性的车辆状态描述为控制区域,并可根据稳定性边界条件划分出稳定区域、不稳定区域等,从而在车辆稳定控制中予以应用。横摆角速度和质心侧偏角等作为体现车辆横摆及侧向运动的重要状态,通常可利用关于它们的控制区域可来描述车辆操纵性能和侧向稳定性,目前对于车辆行驶控制区域划分及区域边界估计的研究存在以下问题:During the driving process of the vehicle, the vehicle state will change in real time according to road conditions and driver behavior. For vehicle stability, the vehicle state that intuitively reflects the handling and stability can be described as a control area, and can be divided according to the stability boundary conditions. Stable area, unstable area, etc., so as to be applied in vehicle stability control. The yaw rate and the side slip angle of the center of mass are important states that reflect the yaw and lateral motion of the vehicle. Usually, the control area about them can be used to describe the vehicle handling performance and lateral stability. The research on regional boundary estimation has the following problems:

1、现有的车辆行驶控制区域,大多采用由质心侧偏角和质心侧偏角速度构成的相平面,并根据其变化特性划分出稳定区域,而对于运动中的车辆,尤其在极限工况下,这种离线的区域无法实时地提供可靠的车辆安全性评价。1. Most of the existing vehicle driving control areas use the phase plane composed of the centroid sideslip angle and the centroid sideslip angular velocity, and divide the stable area according to its changing characteristics. For moving vehicles, especially in extreme working conditions However, such off-line regions cannot provide reliable vehicle safety assessments in real time.

2、对控制区域进行划分,可根据车辆动力学特性得到各区域的边界条件,而多数现有的控制区域划分方法只考虑了车辆的侧向运动,没有考虑其它方向上的动力学,以及各个方向之间动力学的耦合,这会使得区域边界的估计及区域划分不够准确。2. By dividing the control area, the boundary conditions of each area can be obtained according to the dynamic characteristics of the vehicle. However, most of the existing control area division methods only consider the lateral motion of the vehicle, and do not consider the dynamics in other directions. The coupling of dynamics between directions makes the estimation of region boundaries and region divisions inaccurate.

3、在控制区域应用方面,多数的现有方法只是将控制区域笼统的划分为稳定区和不稳定区,并在不同的区域也只考虑相同的所要达到的控制性能,这限制了控制区域在车辆稳定性控制中的应用潜能。3. In terms of the application of the control area, most of the existing methods only roughly divide the control area into a stable area and an unstable area, and only consider the same control performance to be achieved in different areas, which limits the control area. Application potential in vehicle stability control.

发明内容SUMMARY OF THE INVENTION

本发明的目的是根据驾驶员行为及行驶路况信息,考虑车辆横-纵-垂向动力学特性,在线得到关于质心侧偏角和横摆角速度控制区域的在线的车辆行驶控制区域划分及区域边界估计方法。The purpose of the present invention is to obtain the online vehicle driving control area division and area boundary of the center of mass slip angle and yaw rate control area online, considering the vehicle's transverse-vertical-vertical dynamic characteristics according to the driver's behavior and driving road condition information. estimation method.

本发明步骤是:The steps of the present invention are:

S1、软件联合仿真设置及车辆模型搭建;S1. Software co-simulation setting and vehicle model building;

S2、车辆行驶控制区域划分及边界估计S2, vehicle driving control area division and boundary estimation

(1)稳定区域边界估计(1) Stable Region Boundary Estimation

①车辆动力学模型建立①Establishment of vehicle dynamics model

②轮胎模型②Tire model

③非线性模型局部线性化③ Local linearization of nonlinear models

(2)控制区域划分(2) Division of control area

①过渡区形成及区域划分①Transition zone formation and regional division

关于β和γ的区域会随驾驶员的转向、驱动/制动行为,以及路况信息实时更新并相应的改变,当前区间内最低车速下的边界形成的区域,定义为该车速区间下的稳定区域R1;以及当前区间内最高车速条件下的边界,该边界以外的区域为当前车速区间下的不稳定区域R3,且该边界形成的内部区域会与刚刚得到的稳定区域R1重叠,将不重叠的区域部分定义为临界稳定区 R2,作为稳定区与不稳定区的过渡区域;当前车辆状态(β,γ)所处区域,则在各区域关于车辆稳定性的控制需求变化,各区域控制需求变化如下:The area about β and γ will be updated in real time with the driver's steering, driving/braking behavior, and road condition information and change accordingly. The area formed by the boundary under the lowest vehicle speed in the current interval is defined as the stable area under the vehicle speed interval. R1; and the boundary under the condition of the highest vehicle speed in the current interval, the area outside the boundary is the unstable area R3 under the current vehicle speed interval, and the inner area formed by this boundary will overlap with the stable area R1 just obtained, and will not overlap The regional part is defined as the critical stable region R2, which is the transition region between the stable region and the unstable region; in the region where the current vehicle state (β, γ) is located, the control demand for vehicle stability in each region changes, and the control demand for each region changes. as follows:

Figure RE-GDA0003246124280000021
Figure RE-GDA0003246124280000021

对各区域控制需求的介绍如下:在稳定区域R1,此时车辆的操纵性和侧向稳定性已可被保证,故在该区域可考虑轮胎纵向防滑性能,防止轮胎打滑抱死,并考虑能量消耗;当车辆状态进入临界稳定区域R2,应尽可能地保证车辆状态能够回到稳定区,故增加关于操纵稳定性和侧向稳定性的控制需求,且随着车辆状态在R2中逐渐远离R1,对轮胎纵向防滑和能量消耗的需求重心也应逐渐转移到车辆的操纵稳定性和侧向稳定性上;而在不稳定区域R3中时,首要的控制需求则为保证操纵性和侧向稳定性从而保证驾驶安全;The introduction of the control requirements of each area is as follows: In the stable area R1, the maneuverability and lateral stability of the vehicle can be guaranteed at this time, so in this area, the longitudinal anti-skid performance of the tire can be considered to prevent the tire from slipping and locking, and the energy can be considered. Consumption; when the vehicle state enters the critical stable region R2, the vehicle state should be guaranteed to return to the stable region as much as possible, so the control requirements for handling stability and lateral stability are increased, and as the vehicle state gradually moves away from R1 in R2 , the center of gravity of tire longitudinal anti-skid and energy consumption should also gradually shift to the handling stability and lateral stability of the vehicle; while in the unstable region R3, the primary control requirement is to ensure handling and lateral stability. sex to ensure driving safety;

②区域位置判断②Regional location judgment

对控制区域的划分,需要实时地判断当前车辆状态(β,γ)所属的区域位置,从而判断车辆当前状态所需要满足的控制需求,若已知当前的车辆状态(β,γ),且已知拟合的各边界上的βmat和γmat均是一一对应的,则各边界可写成质心侧偏角关于横摆角速度的函数βmatmat),故可以通过函数βmatmat)得到各边界ain,bin,aout,bout,c,d在当前γ下的β值,即可得到各边界上对于该γ值的坐标分别为 (βain,γ),(βbin,γ),(βaout,γ),(βbout,γ),(βc,γ),(βd,γ),将它们的横坐标值分别与车辆反馈回的β值进行比较,即通过下列关系判断当前车辆状态(β,γ)所处区域:For the division of the control area, it is necessary to judge the location of the area to which the current vehicle state (β, γ) belongs in real time, so as to determine the control requirements that the current vehicle state needs to meet. If the current vehicle state (β, γ) is known, and the Knowing that there is a one-to-one correspondence between β mat and γ mat on the fitted boundaries, each boundary can be written as the function β matmat ) of the center of mass slip angle on the yaw rate, so the function β matmat ) to obtain the β value of each boundary a in , b in , a out , b out , c, d under the current γ, then the coordinates of the γ value on each boundary can be obtained as (β ain , γ), ( β bin ,γ),(β aout ,γ),(β bout ,γ),(β c ,γ),(β d ,γ), and compare their abscissa values with the β values fed back by the vehicle respectively , that is, the area where the current vehicle state (β, γ) is located is determined by the following relationship:

Figure RE-GDA0003246124280000022
Figure RE-GDA0003246124280000022

若已知车辆当前的质心侧偏角和横摆角速度(β,γ),即可根据关系(12)确定车辆当前所属控制区域。If the current center-of-mass slip angle and yaw rate (β, γ) of the vehicle are known, the control area that the vehicle currently belongs to can be determined according to relation (12).

本发明有益效果是:The beneficial effects of the present invention are:

1、本发明采用由横摆角速度和质心侧偏角构成的控制区域,可更好地描述车辆的操纵性和稳定性,且各区域边界可随驾驶员行为及路面信息实时变化,相较于使用离线相平面区域的多数传统控制方法,可以提供更加可靠的车辆安全性评价;1. The present invention uses a control area composed of yaw rate and center of mass slip angle, which can better describe the maneuverability and stability of the vehicle, and the boundaries of each area can change in real time with driver behavior and road information. Most traditional control methods using off-line phase plane regions can provide a more reliable assessment of vehicle safety;

2、多数区域估计方法只考虑了车辆的侧向运动动力学,而忽略了其它方向以及它们之间的耦合特性,本发明基于车辆横-纵-垂向动力学特性,并考虑路况对垂向载荷的影响,可使得区域估计的更为准确以便于应用;2. Most area estimation methods only consider the lateral motion dynamics of the vehicle, while ignoring other directions and the coupling characteristics between them. The present invention is based on the lateral-vertical-vertical dynamic characteristics of the vehicle The influence of the load can make the area estimation more accurate for easy application;

3、本发明将控制区域划分为稳定区、不稳定区和作为过渡区域的临界稳定区,并为不同的区域赋予不同的控制需求,可以更好地开发控制区域在稳定性控制中的应用潜能。3. The present invention divides the control area into a stable area, an unstable area and a critical stable area as a transition area, and assigns different control requirements to different areas, which can better develop the application potential of the control area in stability control .

附图说明Description of drawings

图1是本发明流程图;Fig. 1 is the flow chart of the present invention;

图2是本发明车辆动力学模型示意图;2 is a schematic diagram of a vehicle dynamics model of the present invention;

图3是本发明不同路面附着系数的侧向力与侧偏角的关系;Fig. 3 is the relationship between lateral force and slip angle of different road adhesion coefficients of the present invention;

图4是本发明控制区域边界示意图,此时车辆以Vx=60km/h行驶于路面附着系数为0.35的平直路,其中实线为可控条件边界,虚线为稳定条件边界,纵坐标为横摆角速度,单位为rad/s,横坐标为质心侧偏角,单位为rad;4 is a schematic diagram of the boundary of the control area of the present invention. At this time, the vehicle travels on a straight road with a road adhesion coefficient of 0.35 at V x =60km/h, wherein the solid line is the controllable condition boundary, the dotted line is the stable condition boundary, and the ordinate is The yaw rate, the unit is rad/s, the abscissa is the center of mass slip angle, the unit is rad;

图5是本发明控制区域边界及区域划分示意图,此时车辆行驶于路面附着系数为0.35的平直路,车速处于60-65km/h区间,其中实线为可控条件边界,双划线为速度为60km/h时得到的稳定条件内边界,点划线为速度为65km/h时得到的稳定条件外边界,内边界与可控边界构成的区域为稳定区域R1,内外边界构成的区域为临界稳定区R2,其他部分均看作不稳定区R3;5 is a schematic diagram of the control area boundary and area division of the present invention. At this time, the vehicle is driving on a straight road with a road adhesion coefficient of 0.35, and the vehicle speed is in the range of 60-65km/h. The solid line is the controllable condition boundary, and the double-dashed line is The inner boundary of the stability condition obtained when the speed is 60km/h, the dotted line is the outer boundary of the stability condition obtained when the speed is 65km/h, the area formed by the inner boundary and the controllable boundary is the stable area R1, and the area formed by the inner and outer boundaries is Critical stable region R2, other parts are regarded as unstable region R3;

图6是本发明当车速处于60-65km/h区间,方向盘转角为45度,路面无坡度、附着系数为 0.35时的控制区域划分及其边界情况;Fig. 6 is the present invention when the vehicle speed is in the 60-65km/h interval, the steering wheel angle is 45 degrees, the road surface has no slope, and the adhesion coefficient is 0.35 when the control area division and its boundary conditions;

图7是本发明当车速处于75-80km/h区间,无转向行为,路面无坡度、附着系数为0.35时的控制区域划分及其边界情况;Fig. 7 is the control area division and its boundary conditions when the vehicle speed is in the range of 75-80km/h, there is no steering behavior, the road surface has no slope, and the adhesion coefficient is 0.35;

图8是本发明所述的当车速处于60-65km/h区间,无转向行为,路面无坡度、附着系数为0.8 时的控制区域划分及其边界情况;Fig. 8 is the control area division and its boundary conditions when the vehicle speed is in the range of 60-65km/h, there is no steering behavior, the road has no slope, and the adhesion coefficient is 0.8 according to the present invention;

图9是本发明当车速处于60-65km/h区间,无转向行为,路面合成坡度为6%、附着系数为0.35 时的控制区域划分及其边界情况。9 is the control area division and its boundary conditions when the vehicle speed is in the range of 60-65km/h, there is no steering behavior, the composite road gradient is 6%, and the adhesion coefficient is 0.35.

具体实施方式Detailed ways

本发明所述的控制区域划分及边界估计方法的流程图如图1所示,其中路面环境信息以及车辆测量状态均从车辆动力学仿真软件CarSim中采集,建立车辆横摆及侧向运动动力学模型,利用非线性轮胎模型描述轮胎侧向力,并通过泰勒展开和局部线性化对非线性车辆动力学模型进行局部线性化,基于轮胎模型中轮胎力与侧偏角的关系筛选出符合稳定性条件的横摆角速度和质心侧偏角,将它们拟合形成区域边界;再将各个速度区间的边界进行合成,可将区域划分为稳定区、临界稳定区和不稳定区,各区域边界可根据驾驶员行为以及路况信息在线估计得到,并且各个区域对应着不同的车辆稳定性控制需求。本发明中车辆模型和仿真工况是在CarSim中构建的,其他则均是在MATLAB/Simulink中构建的。The flow chart of the control area division and boundary estimation method according to the present invention is shown in Figure 1, wherein the road environment information and vehicle measurement state are collected from the vehicle dynamics simulation software CarSim, and the vehicle yaw and lateral motion dynamics are established. The model uses the nonlinear tire model to describe the tire lateral force, and locally linearizes the nonlinear vehicle dynamics model through Taylor expansion and local linearization. Based on the relationship between the tire force and the slip angle in the tire model, the stability Conditional yaw angular velocity and centroid slip angle, fit them to form the regional boundary; then combine the boundaries of each speed interval, the region can be divided into stable region, critical stable region and unstable region, the boundaries of each region can be based on Driver behavior and road condition information are estimated online, and each area corresponds to different vehicle stability control requirements. In the present invention, the vehicle model and simulation conditions are constructed in CarSim, and the others are constructed in MATLAB/Simulink.

本发明的目标是,实现车辆行驶过程中控制区域的划分以及各划分区域边界的实时估计。The objective of the present invention is to realize the division of the control area and the real-time estimation of the boundary of each divided area during the running of the vehicle.

本发明提供了一套基于以上运行原理和运行过程的装置。搭建以及运行过程如下:The present invention provides a set of devices based on the above operating principles and operating procedures. The construction and operation process is as follows:

1、软件联合仿真设置及车辆模型搭建1. Software co-simulation setting and vehicle model building

该控制系统的控制器和被控对象的仿真模型分别通过软件MATLAB/Simulink和CarSim进行搭建,软件版本分别为MATLAB R2016a和CarSim 2016.1,仿真步长为0.001s。要实现MATLAB/Simulink和CarSim 的联合仿真,首先要把CarSim的工作路径设为指定的Simulink Model,然后将在CarSim中把设置好的车辆模型和道路信息添加到Simulink中,运行Simulink从而实现两者的联合仿真与通信。如果对CarSim中的模型结构或者参数设置进行了修改,则需要重新发送。The simulation models of the controller and the controlled object of the control system are built by the software MATLAB/Simulink and CarSim respectively. The software versions are MATLAB R2016a and CarSim 2016.1 respectively, and the simulation step size is 0.001s. To realize the co-simulation of MATLAB/Simulink and CarSim, first set the working path of CarSim to the specified Simulink Model, then add the set vehicle model and road information to Simulink in CarSim, and run Simulink to achieve both co-simulation and communication. If the model structure or parameter settings in CarSim are modified, it needs to be resent.

CarSim作为高保真车辆动力学软件用来模拟真实的被控对象,本发明所使用的车辆模型是基于东风A60构建的,其参数如表一所示。As a high-fidelity vehicle dynamics software, CarSim is used to simulate the real controlled object. The vehicle model used in the present invention is constructed based on Dongfeng A60, and its parameters are shown in Table 1.

表一车辆模型参数表Table 1 Vehicle model parameter table

Figure RE-GDA0003246124280000041
Figure RE-GDA0003246124280000041

2、车辆行驶控制区域划分及边界估计2. Vehicle driving control area division and boundary estimation

如前所述,本发明基于车辆横-纵-垂向动力学特性,根据驾驶员行为以及路况信息在线得到关于横摆角速度和质心侧偏角的各控制区域边界。首先建立非线性车辆动力学模型和轮胎模型,并将其进行局部线性化,筛选出合理的满足系统稳定性的横摆角速度和质心侧偏角,将它们拟合为区域边界,形成的区域则作为稳定区域,在该区域内车辆的操纵稳定性和侧向稳定性可有效保证,更需要考虑车辆防滑等性能;然后,将各车速区间得到的稳定区域边界进行合成,即可形成一个稳定区和不稳定区之间的过渡区域,称为临界稳定区,在该区域需保证车辆操纵性和纵侧向稳定性,并要尽量使车辆回到稳定区域;而其余区域作为不稳定区域,在此区域车辆的操纵稳定性应为需首要保证的性能。As mentioned above, the present invention obtains the boundary of each control area online about the yaw rate and the center of mass slip angle according to the driver's behavior and road condition information based on the vehicle's lateral-vertical-vertical dynamic characteristics. Firstly, the nonlinear vehicle dynamics model and tire model are established, and they are locally linearized to screen out reasonable yaw rate and centroid slip angle that satisfy the system stability. As a stable area, the handling stability and lateral stability of the vehicle can be effectively guaranteed in this area, and the anti-skid performance of the vehicle needs to be considered. Then, the stable area boundaries obtained in each vehicle speed interval are synthesized to form a stable area. The transition area between the unstable area and the unstable area is called the critical stable area. In this area, it is necessary to ensure the vehicle's maneuverability and longitudinal and lateral stability, and try to make the vehicle return to the stable area. The handling stability of the vehicle in this area should be the primary performance to be guaranteed.

本发明关于控制区域划分和边界估计的具体方法介绍如下:The present invention is introduced as follows about the specific method of control area division and boundary estimation:

1)稳定区域边界估计1) Stable Region Boundary Estimation

①车辆动力学模型建立①Establishment of vehicle dynamics model

首先,考虑车辆横摆及侧向运动建立动力学模型,其示意图如图2所示,模型描述如下:First, a dynamic model is established considering the yaw and lateral motion of the vehicle. The schematic diagram is shown in Figure 2. The model is described as follows:

Figure RE-GDA0003246124280000051
Figure RE-GDA0003246124280000051

Figure RE-GDA0003246124280000052
Figure RE-GDA0003246124280000052

其中,β为车辆质心侧偏角,γ为车辆横摆角速度,δf为前轮转角,Fy代表轮胎侧向力,下标 i∈{f,r},j∈{l,r}的组合ij∈{fl,fr,rl,rr}分别代表左前、右前、左后和右后车轮。Among them, β is the vehicle center of mass slip angle, γ is the vehicle yaw rate, δ f is the front wheel angle, F y is the tire lateral force, the subscript i∈{f,r},j∈{l,r} The combination ij∈{fl,fr,rl,rr} represents the front left, front right, rear left and rear right wheels, respectively.

②轮胎模型②Tire model

本发明为了更准确地描述轮胎侧向力,采用了Fiala轮胎模型,该模型以轮胎侧偏角作为内部变量,可以更好地反映轮胎力的饱和非线性特性,其计算可描述如下:In order to describe the tire lateral force more accurately, the present invention adopts the Fiala tire model, which uses the tire slip angle as an internal variable, which can better reflect the saturated nonlinear characteristics of the tire force, and its calculation can be described as follows:

Figure RE-GDA0003246124280000053
Figure RE-GDA0003246124280000053

其中,μ为路面附着系数,Fz为垂直载荷,Ci是轮胎前轮或后轮的额定侧偏刚度;α为轮胎侧偏角,其计算如下所示:Among them, μ is the road adhesion coefficient, F z is the vertical load, C i is the rated cornering stiffness of the tire front or rear wheel; α is the tire side slip angle, which is calculated as follows:

Figure RE-GDA0003246124280000054
Figure RE-GDA0003246124280000054

轮胎垂向载荷

Figure RE-GDA00032461242800000510
其计算考虑车辆在转弯时、斜坡上的载荷重新分配,其中ax,ay分别代表纵、侧向加速度,
Figure RE-GDA0003246124280000055
为侧倾角,ηhc分别代表侧、纵向道路坡度,具体计算如下:Tire vertical load
Figure RE-GDA00032461242800000510
Its calculation considers the load redistribution of the vehicle when turning and on the slope, where a x , a y represent the longitudinal and lateral accelerations, respectively,
Figure RE-GDA0003246124280000055
is the roll angle, η h , η c represent the lateral and longitudinal road slopes respectively, and the specific calculation is as follows:

Figure RE-GDA0003246124280000056
Figure RE-GDA0003246124280000056

其中,

Figure RE-GDA0003246124280000057
为合成道路坡度,hφ是侧倾力臂,
Figure RE-GDA0003246124280000058
是侧倾角,
Figure RE-GDA0003246124280000059
为前后悬架侧倾角刚度, kl=-kr=-1,这样计算可以更准确地考虑轮胎垂向载荷在复杂路面上的分配情况。in,
Figure RE-GDA0003246124280000057
is the synthetic road gradient, h φ is the roll arm,
Figure RE-GDA0003246124280000058
is the roll angle,
Figure RE-GDA0003246124280000059
For the roll angle stiffness of the front and rear suspensions, k l =-k r =-1, so that the calculation can more accurately consider the distribution of tire vertical loads on complex road surfaces.

不同路面附着系数的侧向力与侧偏角的关系如图3所示,轮胎侧向力关于侧偏角的偏导值可看作为瞬态的在当前侧偏角下的轮胎侧偏刚度。The relationship between the lateral force of different road adhesion coefficients and the slip angle is shown in Fig. 3. The partial derivative of the tire lateral force with respect to the slip angle can be regarded as the transient cornering stiffness of the tire at the current slip angle.

③非线性模型局部线性化③ Local linearization of nonlinear models

通过泰勒展开将车辆动力学模型(1)进行局部线性化,描述为下列关于线性化点和增量的形式:The vehicle dynamics model (1) is locally linearized by Taylor expansion, described as the following form with respect to linearization points and increments:

Figure RE-GDA0003246124280000061
Figure RE-GDA0003246124280000061

其中,

Figure RE-GDA0003246124280000062
βo、γo和δfo分别表示各值的线性化点,
Figure RE-GDA0003246124280000063
Δβ、Δγ、Δδf分别表示各值的增量,公式(5)中增量部分可描述为如下形式:in,
Figure RE-GDA0003246124280000062
β o , γ o and δ fo represent the linearization points of each value, respectively,
Figure RE-GDA0003246124280000063
Δβ, Δγ, Δδ f represent the increments of each value, respectively, and the increment part in formula (5) can be described as follows:

Figure RE-GDA0003246124280000064
Figure RE-GDA0003246124280000064

其中,in,

Figure RE-GDA0003246124280000065
Figure RE-GDA0003246124280000065

在求偏导过程中,只将侧向力看作为关于侧偏角的函数,故

Figure RE-GDA0003246124280000066
即根据轮胎模型(2)中侧向力对侧偏角的偏导可得到轮胎侧偏刚度Cα。In the process of obtaining the partial derivative, only the lateral force is regarded as a function of the sideslip angle, so
Figure RE-GDA0003246124280000066
That is, the tire cornering stiffness C α can be obtained according to the deflection of the lateral force to the slip angle in the tire model (2).

根据公式(3)可得α对β和γ的偏导分别如下:According to formula (3), the partial derivatives of α to β and γ can be obtained as follows:

Figure RE-GDA0003246124280000067
Figure RE-GDA0003246124280000067

再根据公式(1)和(7)。Then according to formulas (1) and (7).

整理后可得到:After finishing, you can get:

Figure RE-GDA0003246124280000068
Figure RE-GDA0003246124280000068

通过求解矩阵

Figure RE-GDA0003246124280000069
的特征值,可得到系统的稳定性条件为
Figure RE-GDA00032461242800000610
即系统的稳定条件和可控条件为:By solving the matrix
Figure RE-GDA0003246124280000069
The eigenvalues of , the stability condition of the system can be obtained as
Figure RE-GDA00032461242800000610
That is, the stable and controllable conditions of the system are:

Figure RE-GDA00032461242800000611
Figure RE-GDA00032461242800000611

Cαfl+Cαfr≠0, (10)C αfl +C αfr ≠0, (10)

根据边界条件(9)和(10),由轮胎模型(2)中轮胎力与侧偏角的关系得到轮胎侧偏刚度,从中筛选出符合条件的Cαfl和Cαfr,并对应得到侧偏角αfl和αfr,然后通过如下变化转换为符合条件的质心侧偏角和横摆角速度:According to the boundary conditions (9) and (10), the tire cornering stiffness is obtained from the relationship between the tire force and the side slip angle in the tire model (2), and the qualified C αfl and C αfr are screened out, and the corresponding side slip angle is obtained. α fl and α fr are then converted to qualifying centroid slip and yaw velocities by changing as follows:

Figure RE-GDA0003246124280000071
Figure RE-GDA0003246124280000071

绘制所有符合条件的点(βmatmat),并将这些点进行拟合作为控制区域的边界。以车辆行驶在路面附着系数为0.35的平直路,速度为60km/h为例,绘制此时的控制区域边界如图4所示,其中虚线为稳定条件边界,也代表过度转向边界;实线为可控条件边界,也代表不足转向边界。Plot all eligible points (β mat , γ mat ) and fit these points as the boundaries of the control region. Taking the vehicle driving on a straight road with a road adhesion coefficient of 0.35 and a speed of 60km/h as an example, the control area boundary at this time is drawn as shown in Figure 4, where the dotted line is the stable condition boundary, which also represents the oversteer boundary; the solid line For the controllable condition boundary, it also represents the understeer boundary.

2)控制区域划分2) Control area division

①过渡区形成及区域划分由上述边界得到的关于β和γ的区域会随驾驶员的转向、驱动/制动行为,以及路况信息实时更新并相应的改变。通过分析验证可知,该区域会随车速增大而扩大,随车辆转向而发生平移,随路面附着系数的降低而减小,受坡度变化影响较小。为了提高在线得到控制区域边界的实时性,我们将车速划分为50-55km/h, 55-60km/h,60-65km/h,65-70km/h,70-75km/h,75-80km/h几个区间,并将在当前区间内各个车速下得到的稳定条件边界进行合成,于是可得到当前区间内最低车速下的边界形成的区域,定义为该车速区间下的稳定区域R1;以及当前区间内最高车速条件下的边界,该边界以外的区域为当前车速区间下的不稳定区域R3,且该边界形成的内部区域会与刚刚得到的稳定区域R1重叠,将不重叠的区域部分定义为临界稳定区R2,作为稳定区与不稳定区的过渡区域。①Transition area formation and area division The areas about β and γ obtained from the above boundaries will be updated in real time with the driver's steering, driving/braking behavior, and road condition information and change accordingly. Through analysis and verification, it can be seen that this area will expand with the increase of vehicle speed, translate with the steering of the vehicle, decrease with the decrease of the road adhesion coefficient, and is less affected by the change of slope. In order to improve the real-time performance of the control area boundary obtained online, we divide the vehicle speed into 50-55km/h, 55-60km/h, 60-65km/h, 65-70km/h, 70-75km/h, 75-80km/h h several intervals, and synthesizing the stable condition boundaries obtained at each vehicle speed in the current interval, then the area formed by the boundary at the lowest vehicle speed in the current interval can be obtained, which is defined as the stable area R1 under the vehicle speed interval; and the current The boundary under the condition of the highest vehicle speed in the interval, the area outside the boundary is the unstable area R3 under the current vehicle speed interval, and the inner area formed by this boundary will overlap with the stable area R1 just obtained, and the non-overlapping area is defined as The critical stable region R2 is the transition region between the stable region and the unstable region.

为了更直观地定义说明各个区域,以车辆行驶在路面摩擦系数为0.35的平直路,且车速在 60-65km/h内为例,绘制该车速区间的控制区域如图5所示,ain与bin为Vx=60km/h时得到的稳定条件边界,称为内边界;aout与bout为Vx=65km/h时得到的稳定条件边界,称为外边界;c和d为可控条件边界;并定义内边界与可控边界构成的区域为稳定区域R1,内外边界构成的区域为临界稳定区R2,其他部分均看作不稳定区R3。In order to define and explain each area more intuitively, take the vehicle driving on a straight road with a road friction coefficient of 0.35 and the vehicle speed within 60-65km/h as an example, draw the control area of the vehicle speed interval as shown in Figure 5, a in and bin is the stable condition boundary obtained when V x = 60km/h, called the inner boundary; a out and b out are the stable condition boundary obtained when V x = 65km/h, called the outer boundary; c and d are Controllable conditional boundary; and define the area formed by the inner boundary and the controllable boundary as the stable area R1, the area formed by the inner and outer boundaries is the critical stable area R2, and the other parts are regarded as the unstable area R3.

如前所述,对于各个区域,需要考虑不同的控制需求,若已知当前车辆状态(β,γ)所处区域,则在各区域关于车辆稳定性的控制需求变化如下表所示。As mentioned above, for each region, different control requirements need to be considered. If the region where the current vehicle state (β, γ) is located is known, the changes in the control requirements for vehicle stability in each region are shown in the table below.

表二各区域控制需求变化Table 2 Changes in Control Demands by Regions

Figure RE-GDA0003246124280000072
Figure RE-GDA0003246124280000072

结合表二对各区域控制需求的介绍如下:在稳定区域R1,此时车辆的操纵性和侧向稳定性已可被保证,故在该区域可考虑轮胎纵向防滑性能,防止轮胎打滑抱死,并考虑能量消耗;当车辆状态进入临界稳定区域R2,应尽可能地保证车辆状态能够回到稳定区,故增加关于操纵稳定性和侧向稳定性的控制需求,且随着车辆状态在R2中逐渐远离R1,对轮胎纵向防滑和能量消耗的需求重心也应逐渐转移到车辆的操纵稳定性和侧向稳定性上;而在不稳定区域R3中时,首要的控制需求则为保证操纵性和侧向稳定性从而保证驾驶安全。以上这些控制需求在不同区域中的切换可通过控制器设计中的目标函数及其权重值,以及约束条件的改变与调节来实现。Combined with Table 2, the introduction of the control requirements of each area is as follows: In the stable area R1, the maneuverability and lateral stability of the vehicle can be guaranteed at this time, so the longitudinal anti-skid performance of the tire can be considered in this area to prevent the tire from slipping and locking. And consider the energy consumption; when the vehicle state enters the critical stability region R2, it should be ensured that the vehicle state can return to the stable region as much as possible, so the control requirements for handling stability and lateral stability are increased, and as the vehicle state is in R2 Gradually away from R1, the center of gravity of tire longitudinal anti-skid and energy consumption should also gradually shift to the handling stability and lateral stability of the vehicle; while in the unstable region R3, the primary control requirement is to ensure handling and stability. Lateral stability to ensure driving safety. The switching of the above control requirements in different regions can be realized by the objective function and its weight value in the controller design, as well as the change and adjustment of the constraints.

②区域位置判断②Regional location judgment

基于上述对控制区域的划分,需要实时地判断当前车辆状态(β,γ)所属的区域位置,从而判断车辆当前状态所需要满足的控制需求。若已知当前的车辆状态(β,γ),且已知拟合的各边界上的βmat和γmat均是一一对应的,则各边界可写成质心侧偏角关于横摆角速度的函数βmatmat),故可以通过函数βmatmat)得到各边界ain,bin,

Figure RE-GDA0003246124280000083
在当前γ下的β值,即可得到各边界上对于该γ值的坐标分别为 (βain,γ),(βbin,γ),(βaout,γ),(βbout,γ),(βc,γ),(βd,γ),将它们的横坐标值分别与车辆反馈回的β值进行比较,即可通过下列关系判断当前车辆状态(β,γ)所处区域:Based on the above-mentioned division of the control area, it is necessary to determine the location of the area to which the current vehicle state (β, γ) belongs in real time, so as to determine the control requirements that the current vehicle state needs to meet. If the current vehicle state (β, γ) is known, and β mat and γ mat are known to be in one-to-one correspondence on each boundary, then each boundary can be written as a function of the center of mass slip angle on the yaw rate β matmat ), so each boundary a in , b in , can be obtained through the function β matmat ),
Figure RE-GDA0003246124280000083
At the β value under the current γ, the coordinates of the γ value on each boundary can be obtained as (β ain ,γ),(β bin ,γ),(β aout ,γ),(β bout ,γ), (β c , γ), (β d , γ), by comparing their abscissa values with the β value fed back by the vehicle, the current vehicle state (β, γ) can be judged by the following relationship:

Figure RE-GDA0003246124280000081
Figure RE-GDA0003246124280000081

综上,若已知车辆当前的质心侧偏角和横摆角速度(β,γ),即可根据关系(12)确定车辆当前所属控制区域。另外,对于不同道路信息及驾驶员行为,表三列出了一些驾驶情况,这些情况下控制区域的划分及各区域边界如图6-9所示,可看出本发明提出的方法可实时地根据道路信息及驾驶员行为的变化而变化,并为车辆稳定性控制提供可靠的安全性评价。To sum up, if the current center-of-mass slip angle and yaw rate (β, γ) of the vehicle are known, the control area that the vehicle currently belongs to can be determined according to the relationship (12). In addition, for different road information and driver behaviors, some driving situations are listed in Table 3. In these situations, the division of control areas and the boundaries of each area are shown in Figures 6-9. It can be seen that the method proposed by the present invention can realize real-time It changes according to changes in road information and driver behavior, and provides a reliable safety evaluation for vehicle stability control.

表三不同道路信息及驾驶员行为下的区域划分及边界Table 3 Area division and boundary under different road information and driver behavior

Figure RE-GDA0003246124280000082
Figure RE-GDA0003246124280000082

Claims (1)

1. An on-line vehicle driving control area dividing and area boundary estimating method comprises the following steps:
s1, setting software joint simulation and building a vehicle model;
s2, vehicle driving control area division and boundary estimation
(1) Steady region boundary estimation
Firstly, establishing a vehicle dynamic model
② tire model
Part linearization of non-linear model
The method is characterized in that:
(2) control region partitioning
Forming transition region and dividing region
The area of the vehicle mass center side deviation angle beta and the vehicle yaw velocity gamma can be updated in real time along with the steering, driving/braking behaviors of a driver and road condition information and correspondingly changed, and the area formed by the boundary at the lowest vehicle speed in the current interval is defined as a stable area R1 in the vehicle speed interval; and a boundary under the condition of the highest vehicle speed in the current interval, wherein the region outside the boundary is an unstable region R3 in the current vehicle speed interval, an inner region formed by the boundary is overlapped with the stable region R1 which is just obtained, and the non-overlapped region part is defined as a critical stable region R2 which is used as a transition region of the stable region and the unstable region; the current vehicle state (β, γ) is in a region, and the control demand for the vehicle stability changes in each region as follows:
Figure FDA0003536762300000011
the control requirements for each zone are introduced as follows: in the stable region R1, where the maneuverability and lateral stability of the vehicle can be ensured, the tire longitudinal anti-skid performance can be considered, the tire is prevented from locking up, and the energy consumption can be considered; when the vehicle state enters the critical stability region R2, it should be ensured as much as possible that the vehicle state can return to the stable region, so that the control demand regarding the steering stability and the lateral stability is increased, and as the vehicle state is gradually away from R1 in R2, the demand gravity center for the tire longitudinal slip prevention and the energy consumption should be gradually shifted to the steering stability and the lateral stability of the vehicle; in the unstable region R3, the primary control requirement is to ensure maneuverability and lateral stability to ensure driving safety;
region position judgment
For the division of the control area, the area position to which the current vehicle state (β, γ) belongs needs to be judged in real time so as to judge the control requirement that the current vehicle state needs to meet, if the current vehicle state (β, γ) is known, and the fitted β on each boundary is knownmatAnd gammamatAre all in one-to-one correspondence, then each boundary can be written as a function β of the centroid yaw angle with respect to the yaw ratematmat) Therefore, can pass through the function βmatmat) Obtain each boundary ain,bin,aout,boutC, d is the beta value under the current gamma, namely the coordinate of the gamma value on each boundary is (beta)ain,γ),(βbin,γ),(βaout,γ),(βbout,γ),(βc,γ),(βdγ), comparing their abscissa values with β values fed back by the vehicle, i.e. determining the area in which the current vehicle state (β, γ) is located by the following relationship:
Figure FDA0003536762300000021
if the current centroid slip angle and yaw rate (beta, gamma) of the vehicle are known, the control area to which the vehicle currently belongs can be determined according to the relation (12).
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