Path-following control of 4WIS/4WID autonomous vehicles considering vehicle stability based on phase plane

Yang Sun, Chao Wang, Haiyang Wang, Bin Tian, Haonan Ning
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Abstract

In order to ensure the following accuracy and improve the operational stability of four-wheel independent driving and four-wheel independent steering autonomous vehicles, this paper proposes a path-following control strategy based on the β−[Formula: see text] phase plane. First, based on the kinematic relationship between the vehicle and the reference path, the linear matrix inequality theory is used to design the H∞ controller to obtain the wheel steering angle. Then, the vehicle steering system is subjected to nonlinear analysis according to phase plane theory, and a partition region controller is designed. In the unstable region, the instability degree of the vehicle is predicted by quadratic polynomial extrapolation and the particle swarm optimization PID controller is designed to determine the required yaw moment to restore the vehicle to the stable region. In the stable region, a fuzzy sliding mode controller is adopted to determine the required yaw moment so that the actual state variable of the vehicle follows the ideal state variable. Finally, the optimal tire force distributor is designed such that the required forces are allocated to all four wheels. The simulation results show that the proposed method can obtain excellent path-following performance and stability performance under different driving conditions.
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基于相位平面考虑车辆稳定性的 4WIS/4WID 自动驾驶车辆的路径跟踪控制
为了保证四轮独立驱动和四轮独立转向自主车辆的跟随精度,提高其运行稳定性,本文提出了一种基于β-[公式:见正文]相平面的路径跟随控制策略。首先,根据车辆与参考路径之间的运动学关系,利用线性矩阵不等式理论设计 H∞ 控制器,以获得车轮转向角。然后,根据相平面理论对车辆转向系统进行非线性分析,并设计出分区控制器。在不稳定区域,通过二次多项式外推法预测车辆的不稳定程度,并设计粒子群优化 PID 控制器,以确定车辆恢复到稳定区域所需的偏航力矩。在稳定区域,采用模糊滑动模式控制器确定所需的偏航力矩,使车辆的实际状态变量遵循理想状态变量。最后,设计出最佳的轮胎力分配器,以便将所需的力分配给所有四个车轮。仿真结果表明,所提出的方法可以在不同的驾驶条件下获得优异的路径跟随性能和稳定性能。
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