Real-time Model Predictive Controller for Vehicle Lateral Stabilization under Extreme Conditions

Meng Gao, Ping Wang, Zihan Li, Hanghang Liu, Fei Wang
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Abstract

Under extreme driving conditions, the tire lateral force is easily saturated, which should be considered for better performance in vehicle stability control, as well as the safety constraints and real-time response. To address the above problem, a real-time model predictive controller for four wheel independent motor-drive electric vehicles is proposed to improve the lateral stability. First, considering the saturation characteristic of the tire dynamics on a slippery road, the tire model is developed into the piecewise form of linear and saturation regions, which extracts the main nonlinearity of tire. Second, the additional yaw moment is determined to achieve the control objectives of lateral stability and handling performance. Then, the additional yaw moment is distributed into torques acting on each motor by optimizing the tire load rates. Finally, co-simulations with MATLAB/CarSim and hardware-in-the-loop simulation are performed, and the fast solution of optimization problem is realized based on C-language. The results show that lateral stability and handling performance are efficiently improved, and the real-time performance can be ensured with a sampling time as 5ms.
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极端条件下车辆横向稳定的实时模型预测控制器
在极端驾驶条件下,轮胎侧力容易饱和,为了更好地实现车辆的稳定性控制,以及安全约束和实时响应,需要考虑轮胎侧力饱和。针对上述问题,提出了一种四轮独立电机驱动电动汽车的实时模型预测控制器,以提高其横向稳定性。首先,考虑湿滑路面上轮胎动力学的饱和特性,将轮胎模型发展为线性和饱和区域的分段形式,提取轮胎的主要非线性;其次,确定附加偏航力矩以实现横向稳定性和操纵性能的控制目标。然后,通过优化轮胎负载率,将额外的偏航力矩分配到作用在每个电机上的转矩中。最后,利用MATLAB/CarSim和硬件在环仿真进行联合仿真,实现了基于c语言的优化问题的快速求解。实验结果表明,该方法有效地提高了系统的横向稳定性和操纵性能,并在采样时间为5ms时保证了系统的实时性。
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