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CN110096748B - A Modeling Method of Human-Vehicle-Road Model Based on Vehicle Kinematics Model - Google Patents

A Modeling Method of Human-Vehicle-Road Model Based on Vehicle Kinematics Model Download PDF

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CN110096748B
CN110096748B CN201910257785.3A CN201910257785A CN110096748B CN 110096748 B CN110096748 B CN 110096748B CN 201910257785 A CN201910257785 A CN 201910257785A CN 110096748 B CN110096748 B CN 110096748B
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王金湘
严永俊
张廓然
林中盛
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Abstract

The invention relates to a human-vehicle-road model modeling method based on a vehicle kinematics model. The established vehicle kinematics model considers the action of a human driver in driving, and represents the human driver with different driving behaviors by using parameters such as neuromuscular delay time, preview time, steering gain and the like in the steering characteristic of the driver, so that a vehicle controller designed based on the model can drive like a person, and the riding comfort of passengers is improved. The human-vehicle-road model based on the vehicle kinematics model provided by the invention reduces the design difficulty of the controller, has good real-time performance, considers the riding comfort of human drivers, has practicability and also has wide commercial application prospect.

Description

一种基于车辆运动学模型的人-车-路模型建模方法A Human-Vehicle-Road Model Modeling Method Based on Vehicle Kinematics Model

技术领域technical field

本发明涉及路径规划与路径跟踪,属于智能交通技术领域,具体涉及一种基于车辆运动学模型的人-车-路模型建模方法。The invention relates to path planning and path tracking, and belongs to the technical field of intelligent transportation, in particular to a human-vehicle-road model modeling method based on a vehicle kinematics model.

背景技术Background technique

“智能化、网联化、电动化、共享化”作为当前汽车工业发展的趋势,以智能化为代表的自主车辆和半自主车辆是当前国内外诸多科技公司以及汽车制造厂商的研究热点。智能驾驶汽车要能够实现与X(车,路,人等)智能信息交换、共享,具备复杂环境感知、智能决协同控制等功能,其研究目标是取代人类驾驶员进行车辆自主驾驶工作,并以此提高行车安全和效率。但是把驾驶员从枯燥的驾驶中解放出来的完全自动化的无人驾驶技术并不是一蹴而就的,而是一个逐步递进的过程,与自动驾驶相比,半自动驾驶目前更有可能实现。目前常见车辆模型多为车辆动力学模型,动力学模型对车辆参数要求较高,其中很多参数都具有非线性特性,如侧偏角、转向刚度等,这将增加控制器的计算负担,复杂的计算会降低车辆运动控制的实时性,故在实际应用中,基于车辆动力学的模型存在缺陷。"Intelligence, networking, electrification, and sharing" is the current development trend of the automobile industry. Autonomous vehicles and semi-autonomous vehicles represented by intelligence are currently the research hotspots of many technology companies and automobile manufacturers at home and abroad. Intelligent driving vehicles must be able to exchange and share intelligent information with X (vehicles, roads, people, etc.), and have functions such as complex environment perception and intelligent decision-making collaborative control. This improves driving safety and efficiency. However, the fully automated unmanned driving technology that liberates the driver from boring driving is not achieved overnight, but a gradual process. Compared with automatic driving, semi-autonomous driving is currently more likely to be realized. At present, most of the common vehicle models are vehicle dynamic models. The dynamic model has high requirements on vehicle parameters, many of which have nonlinear characteristics, such as side slip angle, steering stiffness, etc., which will increase the calculation burden of the controller, and the complex Calculation will reduce the real-time performance of vehicle motion control, so in practical applications, the model based on vehicle dynamics has defects.

发明内容Contents of the invention

为解决上述问题,本发明公开了一种基于车辆运动学模型的人-车-路模型建模方法,通过车辆运动学建模降低控制器的计算负担,同时利用驾驶员转向特性中的延迟时间、预瞄时间、转向增益等参数来考虑到驾驶员的驾驶特性,使得车辆控制器能够像人一样驾驶,提高乘员的乘坐舒适性。In order to solve the above problems, the present invention discloses a human-vehicle-road model modeling method based on the vehicle kinematics model, which reduces the computational burden of the controller through vehicle kinematics modeling, and at the same time utilizes the delay time in the driver's steering characteristics , preview time, steering gain and other parameters to take into account the driver's driving characteristics, so that the vehicle controller can drive like a human and improve the ride comfort of the occupants.

为达到上述目的,本发明的技术方案如下:To achieve the above object, the technical scheme of the present invention is as follows:

一种基于车辆运动学模型的人-车-路模型建模方法,采用车辆-道路运动学模型来代替目前更为常用的车辆动力学模型。如图1所示,在ψ为小角度的情况下,可以对ψ的三角函数值进行近似处理,即cosψ=1,sinψ=ψ,tanψ=ψ,车辆-道路运动学模型可以表示为A human-vehicle-road model modeling method based on a vehicle kinematics model, which uses a vehicle-road kinematics model to replace the current more commonly used vehicle dynamics model. As shown in Figure 1, when ψ is a small angle, the trigonometric function value of ψ can be approximated, that is, cosψ=1, sinψ=ψ, tanψ=ψ, and the vehicle-road kinematics model can be expressed as

Figure BDA0002014302730000011
Figure BDA0002014302730000011

进一步地,所述图1中lf和lr分别为车辆前轴和后轴到车辆质心的距离,Vx表示车辆的纵向速度,y是车辆质心当前的横向位置,ydes表示车辆质心在参考轨迹上与当前位置对应的目标位置,ey=y-ydes表示车辆质心当前位置与参考轨迹之间的误差。δf为汽车前轮转向角,作为驾驶员模型的输出,用以控制车辆进行转向操作,ψ表示车辆当前位置的航向角,ψdes是车辆质心在参考路径上对应位置的切线与X轴形成的切角, eψ=ψ-ψdes表示车辆与参考路径上对应位置的航向偏差。Further, l f and l r in Fig. 1 are the distances from the front and rear axles of the vehicle to the center of mass of the vehicle, V x represents the longitudinal velocity of the vehicle, y is the current lateral position of the center of mass of the vehicle, and y des represents the center of mass of the vehicle at The target position corresponding to the current position on the reference trajectory, e y =yy des represents the error between the current position of the center of mass of the vehicle and the reference trajectory. δ f is the steering angle of the front wheels of the car, which is used as the output of the driver model to control the vehicle to perform steering operations, ψ represents the heading angle of the current position of the vehicle, and ψ des is the tangent formed by the corresponding position of the center of mass of the vehicle on the reference path and the X axis The cutting angle of , e ψ =ψ-ψ des represents the heading deviation between the vehicle and the corresponding position on the reference path.

假设车辆纵向速度Vx为常数,前轮转向角δf较小,那么车辆的侧偏运动可以近似表示为:Assuming that the vehicle longitudinal velocity Vx is constant and the front wheel steering angle δf is small, then the lateral movement of the vehicle can be approximately expressed as:

Figure BDA0002014302730000021
Figure BDA0002014302730000021

Figure BDA0002014302730000022
Figure BDA0002014302730000022

进一步地,所述模型为了在设计车辆控制器的时候考虑驾驶员的转向特性,在车辆-道路模型中引入驾驶员模型。Furthermore, in order to consider the driver's steering characteristics when designing the vehicle controller, the model introduces the driver model into the vehicle-road model.

Figure BDA0002014302730000023
Figure BDA0002014302730000023

其中,Td、Tp、Gh分别表示驾驶员的延迟时间、预瞄时间以及转向比例增益。a0为常数,Rg为转向系统的传动比,即方向盘转角与汽车前轮转角的比值。所述模型中驾驶员对车辆施加转向控制行为时,延迟时间分为两部分,即Td=τd1d2,其中τd1为驾驶员意识到需要转向到去执行转向动作存在的一个反应延时,同时,在驾驶员执行转向动作时,手臂上还会存在一个神经肌肉延时τd2;驾驶员总是以最小的工作负荷输出一个与输入信号成比例的信号,即转向比例增益,Yp表示的是参考路径上预瞄点的横向位置,预瞄点为车辆当前位置前方L处做垂线与参考路径的交点,Tp表示驾驶员的预瞄时间,当车辆纵向车速Vx不变时,驾驶员前视距离为L=Vx*Tp,Yp表示的就是在车辆前方L处所对应参考路径上预瞄点的横向位置, y+TpVxψ表示驾驶员根据当前车辆运动状态估计的预瞄时间后的车辆位置。Among them, T d , T p , and G h represent the driver's delay time, preview time, and steering proportional gain, respectively. a 0 is a constant, R g is the transmission ratio of the steering system, that is, the ratio of the steering wheel angle to the front wheel angle of the car. In the model, when the driver applies steering control behavior to the vehicle, the delay time is divided into two parts, that is, T dd1d2 , where τ d1 is a reaction that the driver realizes that he needs to turn to perform the steering action. At the same time, when the driver performs the steering action, there will be a neuromuscular delay τ d2 on the arm; the driver always outputs a signal proportional to the input signal with the minimum workload, that is, the steering proportional gain, Y p represents the lateral position of the preview point on the reference path. The preview point is the intersection point of the vertical line at L in front of the current position of the vehicle and the reference path. T p represents the driver’s preview time. When the vehicle’s longitudinal speed is V x When it remains unchanged, the driver’s forward-looking distance is L=V x *T p , Y p represents the lateral position of the preview point on the reference path corresponding to L in front of the vehicle, and y+T p V x ψ represents the driver’s The vehicle position after the preview time of the current vehicle motion state estimation.

进一步地,为了便于在Matlab/Simulink中建模,将上述连续模型转化为离散时间状态模型。根据以上建立的人-车-路模型,定义驾驶员-车辆-道路系统模型的离散时间状态变量为Further, in order to facilitate modeling in Matlab/Simulink, the above continuous model is transformed into a discrete time state model. According to the human-vehicle-road model established above, the discrete-time state variables of the driver-vehicle-road system model are defined as

x(k)=[x1(k),x2(k),x3(k),x4(k),x5(k),x6(k),x7(k)]T,其中x(k)=[x 1 (k), x 2 (k), x 3 (k), x 4 (k), x 5 (k), x 6 (k), x 7 (k)] T , in

Figure BDA0002014302730000031
Figure BDA0002014302730000032
Figure BDA0002014302730000031
Figure BDA0002014302730000032

人车路模型的输入为

Figure BDA0002014302730000033
所述人-车-路模型的状态空间模型可以被描述为The input of the pedestrian-vehicle road model is
Figure BDA0002014302730000033
The state space model of the human-vehicle-road model can be described as

x(k+1)=Ax(k)+Buu(k)x(k+1)=Ax(k)+B u u(k)

其中in

Figure BDA0002014302730000034
Figure BDA0002014302730000034

Figure BDA0002014302730000035
Figure BDA0002014302730000035

进一步地,在本发明提出的人-车-路模型中,考虑到了驾驶员的转向特性,将该人车路模型用于路径规划和路径跟踪时,可以考虑驾驶员的操纵行为和偏好。另一方面,由于采用了运动学的车辆模型,所提出的人车路模型本质上是线性的,在复杂的路径规划或者路径跟踪中使用该模型可以降低计算成本。Furthermore, in the human-vehicle-road model proposed by the present invention, the driver's steering characteristics are taken into account, and when the human-vehicle-road model is used for path planning and path tracking, the driver's manipulation behavior and preferences can be considered. On the other hand, due to the adoption of a kinematic vehicle model, the proposed human-vehicle-road model is linear in nature, and the use of this model in complex path planning or path tracking can reduce computational costs.

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

由于采用车辆的运动学模型设计人-车-路模型,在模型中实现横向运动控制时,控制器的计算负担较低,车辆运动控制的实时性得到了极大的改善。本发明考虑了驾驶员的预瞄作用、神经肌肉延时、转向增益等驾驶特性,使得所设计的车辆控制器能够像人一样驾驶,从而提高乘员的乘坐舒适性。Since the vehicle kinematics model is used to design the human-vehicle-road model, the computational burden of the controller is low when the lateral motion control is implemented in the model, and the real-time performance of the vehicle motion control is greatly improved. The invention considers the driver's preview function, neuromuscular delay, steering gain and other driving characteristics, so that the designed vehicle controller can drive like a human, thereby improving the ride comfort of the passengers.

附图说明Description of drawings

图1为本发明考虑驾驶员前视作用的车辆-道路运动学模型示意图。Fig. 1 is a schematic diagram of the vehicle-road kinematics model considering the forward-looking effect of the driver in the present invention.

图2为本发明基于运动学车辆模型的人-车-路模型示意框图。Fig. 2 is a schematic block diagram of the human-vehicle-road model based on the kinematic vehicle model of the present invention.

具体实施方式Detailed ways

下面结合附图和具体实施方式,进一步阐明本发明,应理解下述具体实施方式仅用于说明本发明而不用于限制本发明的范围。The present invention will be further explained below in conjunction with the accompanying drawings and specific embodiments. It should be understood that the following specific embodiments are only used to illustrate the present invention and are not intended to limit the scope of the present invention.

本发明提出一种基于车辆运动学模型的人-车-路模型,用来实现车辆控制器计算负担降低,提高控制器实时性,使得控制器能够像人一样驾驶,提高乘员的乘坐舒适性。The present invention proposes a human-vehicle-road model based on the vehicle kinematics model, which is used to reduce the calculation burden of the vehicle controller, improve the real-time performance of the controller, enable the controller to drive like a human, and improve the ride comfort of the occupants.

本发明采用了双坐标系,即全局坐标系和车身坐标系。在ψ为小角度的情况下,可以对ψ的三角函数值进行近似处理,即cosψ=1,sinψ=ψ,tanψ=ψ,根据车辆运动学状况分析,车辆- 道路的运动学模型可以表示为。The present invention adopts two coordinate systems, that is, a global coordinate system and a vehicle body coordinate system. When ψ is a small angle, the trigonometric function value of ψ can be approximated, that is, cosψ=1, sinψ=ψ, tanψ=ψ, according to the analysis of vehicle kinematics, the vehicle-road kinematics model can be expressed as .

Figure BDA0002014302730000041
Figure BDA0002014302730000041

式中,lf和lr分别为车辆前轴和后轴到车辆质心的距离,Vx表示车辆的纵向速度,y是车辆质心当前的横向位置,ydes表示车辆质心在参考轨迹上与当前位置对应的目标位置,ey=y-ydes表示车辆质心当前位置与参考轨迹之间的误差。δf为汽车前轮转向角,ψ表示车辆当前位置的航向角,ψdes是车辆质心在参考路径上对应位置的切线与X轴形成的切角, eψ=ψ-ψdes表示车辆与参考路径上对应位置的航向偏差。In the formula, l f and l r are the distances from the front axle and rear axle of the vehicle to the center of mass of the vehicle, V x represents the longitudinal velocity of the vehicle, y is the current lateral position of the center of mass of the vehicle, and y des represents the distance between the center of mass of the vehicle on the reference trajectory and the current The target position corresponding to the position, e y =yy des represents the error between the current position of the center of mass of the vehicle and the reference trajectory. δ f is the steering angle of the front wheels of the car, ψ represents the heading angle of the current position of the vehicle, ψ des is the tangent angle formed by the tangent of the corresponding position of the center of mass of the vehicle on the reference path and the X axis, e ψ = ψ-ψ des represents the tangent between the vehicle and the reference path The heading deviation for the corresponding position on the path.

假设车辆纵向速度Vx为常数,前轮转向角δf较小,那么车辆的侧偏运动的关系式可以近似表示为:Assuming that the vehicle’s longitudinal velocity Vx is constant and the front wheel steering angle δf is small, then the relational expression of the vehicle’s yaw motion can be approximately expressed as:

Figure BDA0002014302730000042
Figure BDA0002014302730000042

Figure BDA0002014302730000043
Figure BDA0002014302730000043

本发明为了在设计车辆控制器的的回收考虑驾驶员的转向特性,在车辆-道路模型中引入驾驶员模型,驾驶员模型表示为:The present invention is in order to consider the driver's steering characteristic in the recovery of design vehicle controller, introduces driver's model in vehicle-road model, and driver's model is expressed as:

Figure BDA0002014302730000044
Figure BDA0002014302730000044

式中Td、Tp、Gh分别表示驾驶员的延迟时间、预瞄时间以及转向比例增益。where T d , T p , and G h represent the driver's delay time, preview time, and steering proportional gain, respectively.

为常数,Rg为转向系统的传动比,即方向盘转角与汽车前轮转角的比值。驾驶员对车辆施加转向控制行为时,延迟时间分为两部分,即Td=τd1d2,其中τd1为驾驶员意识到需要转向到去执行转向动作存在的一个反应延时,同时,在驾驶员执行转向动作时,手臂上还会存在一个神经肌肉延时τd2;驾驶员总是以最小的工作负荷输出一个与输入信号成比例的信号,即转向比例增益,Tp表示驾驶员的预瞄时间,当车辆纵向车速Vx不变时,驾驶员前视距离为L=Vx*Tp,Yp表示的就是在车辆前方L处所对应参考路径上预瞄点的横向位置,y+TpVxψ表示驾驶员根据当前车辆运动状态估计的预瞄时间后的车辆位置。is a constant, and R g is the transmission ratio of the steering system, that is, the ratio of the steering wheel angle to the front wheel angle of the vehicle. When the driver applies the steering control behavior to the vehicle, the delay time is divided into two parts, that is, T dd1d2 , where τ d1 is a reaction delay from when the driver realizes the need to turn to perform the steering action, and at the same time , when the driver performs the steering action, there will be a neuromuscular delay τ d2 on the arm; the driver always outputs a signal proportional to the input signal with the minimum workload, that is, the steering proportional gain, T p represents the driving The driver’s preview time, when the vehicle’s longitudinal speed V x is constant, the driver’s forward-looking distance is L=V x *T p , and Y p represents the lateral position of the preview point on the corresponding reference path at L in front of the vehicle , y+T p V x ψ represents the vehicle position after the preview time estimated by the driver based on the current vehicle motion state.

本发明将离散时间状态变量定义为x(k)=[x1(k),x2(k),x3(k),x4(k),x5(k),x6(k),x7(k)]TThe present invention defines discrete-time state variables as x(k)=[x 1 (k), x 2 (k), x 3 (k), x 4 (k), x 5 (k), x 6 (k) , x 7 (k)] T ,

Figure BDA0002014302730000051
Figure BDA0002014302730000052
Figure BDA0002014302730000051
Figure BDA0002014302730000052

人车路模型的输入为

Figure BDA0002014302730000053
则人车路模型的状态空间模型可以被描述为The input of the pedestrian-vehicle road model is
Figure BDA0002014302730000053
Then the state space model of the pedestrian-vehicle-road model can be described as

x(k+1)=Ax(k)+Buu(k)x(k+1)=Ax(k)+B u u(k)

式中In the formula

Figure BDA0002014302730000054
Figure BDA0002014302730000054

Figure BDA0002014302730000055
Figure BDA0002014302730000055

其它符号说明同前。The description of other symbols is the same as before.

Claims (1)

1. A human-vehicle-road model modeling method based on a vehicle kinematic model is characterized in that: the method comprises the following steps:
(a) Building a vehicle-road model based on a vehicle kinematics model
Figure FDA0002014302720000011
In the formula I f And l r Respectively the distance from the front and rear axle of the vehicle to the center of mass of the vehicle, V x Representing the longitudinal speed of the vehicle, e y =y-y des Representing the error between the current position of the vehicle's center of mass and the reference trajectory, y being the current lateral position of the vehicle's center of mass, y des Representing a target position of a center of mass of the vehicle on a reference trajectory corresponding to the current position; psi denotes the heading angle of the current position of the vehicle, psi des Is the tangent angle formed by the tangent of the corresponding position of the center of mass of the vehicle on the reference path and the X axis, e ψ Indicating a heading deviation of the vehicle from a corresponding position on the reference path; delta f Is the steering angle of the front wheels of the automobile,
Figure FDA0002014302720000012
is the front wheel steering angle acceleration;
(b) In order to enable the vehicle controller to be driven like a person, the model design takes into account the driver model
Figure FDA0002014302720000013
Wherein, T d 、T p 、G h Respectively representing the delay time, the preview time and the steering proportion gain of a driver; a is a 0 Is a constant number, R g Is the transmission ratio of the steering system, i.e. the ratio of the steering wheel angle to the front wheel angle of the vehicle, G h Is a steering proportional gain; y is p Representing the transverse position of the pre-aiming point on the corresponding reference path at the front L of the vehicle, y + T p V x ψ denotes the vehicle position after the estimated preview time by the driver from the current vehicle motion state.
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