1. 北京理工大学 高端汽车集成与控制全国重点实验室, 北京 100081
2. 湖南大学 整车先进设计制造技术全国重点实验室, 湖南 长沙 410082
*qinlee1993@163.com
**hwhebit@bit.edu.cn
收稿:2024-09-29,
网络出版:2025-08-28,
纸质出版:2025-08-31
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李秦, 何洪文, 胡满江. 基于高斯过程回归的无人车辆轨迹跟踪MPC[J]. 兵工学报, 2025,46(8):240904.
Qin LI, Hongwen HE, Manjiang HU. Model Predictive Control of Unmanned Vehicle Trajectory Tracking Based on Gaussian Process Regression[J]. Acta Armamentarii, 2025, 46(8): 240904.
李秦, 何洪文, 胡满江. 基于高斯过程回归的无人车辆轨迹跟踪MPC[J]. 兵工学报, 2025,46(8):240904. DOI: 10.12382/bgxb.2024.0904.
Qin LI, Hongwen HE, Manjiang HU. Model Predictive Control of Unmanned Vehicle Trajectory Tracking Based on Gaussian Process Regression[J]. Acta Armamentarii, 2025, 46(8): 240904. DOI: 10.12382/bgxb.2024.0904.
轨迹跟踪是无人驾驶控制系统中至关重要的功能之一。车辆动力学模型对轨迹跟踪性能有显著影响
但是存在模型复杂度和求解效率之间的矛盾
在非线性工况下无法满足轨迹跟踪精度要求
为此提出基于高斯过程回归(Gaussian Process Regression
GPR)的模型预测控制(Model Predictive Control
MPC) 方法。使用简单模型从而确保求解效率
通过GPR对车辆模型补偿从而提高轨迹跟踪性能。提出基于单轨动力学模型的车辆状态融合估计方法
获得GPR误差补偿模型;构建轨迹跟踪问题模型
推导GPR误差补偿模型在预测时域的迭代方程
对预测时域内的车辆状态进行动态补偿
实现轨迹跟踪控制;通过搭建实车验证平台开展典型工况试验验证
与无补偿MPC方法进行对比。研究结果表明
新方法轨迹跟踪精度得到明显提升
轨迹跟踪横向误差和航向误差分别降低了33.3%和27.9%
同时还兼顾了车辆舒适性的提升
侧向加速度和横摆角速度均值分别下降了17.1%和21.7%。
Trajectory tracking is a crucial functionality of the autonomous driving control system.The vehicle dynamics model has a significant impact on trajectory tracking performance
however
there is a conflict between model complexity and solving efficiency
often leading to insufficient tracking accuracy under nonlinear conditions.To address this challenge
this paper proposes a model predictive control method based on Gaussian process regression (GPR) for trajectory tracking.A simplified model is used to ensure solving efficiency
and GPR model is employed to compensate for the vehicle model
thereby enhancing the trajectory tracking performance.First
a vehicle state fusion estimation method based on the single-track dynamics model is developed to obtain the GPR compensation model.A trajectory tracking error model is developed.Based on the trajectory tracking error from vehicle dynamics model
the iterative equation for GPR error compensation within the predictive horizon is derived to dynamically compensate for model errors in the vehicle state prediction for achieving the trajectory tracking control.Finally
a real-vehicle validation platform is constructed to validate the proposed method under typical driving conditions.The proposed method is compared with other predictive control methods without GPR compensation.The results show the proposed method achieves a significant improvement in trajectory tracking accuracy.Specifically
the lateral and heading errors are reduced by 33.3% and 27.9%
respectively.Furthermore
the vehicle comfort performance is also improved
and the mean lateral acceleration and yaw rate are reduced by 17.1% and 21.7%
respectively.
熊璐 , 杨兴 , 卓桂荣 , 等 . 无人驾驶车辆的运动控制发展现状综述 [J ] . 机械工程学报 , 2020 , 56 ( 10 ): 127 - 143 . DOI: 10.3901/JME.2020.10.127 http://doi.org/10.3901/JME.2020.10.127 回顾无人驾驶车辆的运动控制问题。从系统模型、控制方法以及控制结构等角度切入,分别在纵向运动控制、路径跟踪控制和轨迹跟踪控制三个层面对国内外的研究进展进行综述,并提出对无人驾驶车辆运动控制技术的发展展望。当前运动控制研究多集中于常规工况,为实现无人驾驶车辆在处理人类驾驶员认为具有挑战性或缺乏操纵能力的复杂动态场景下的潜力,运动控制研究须从常规工况向极限工况拓展,但是极限工况下车辆的非线性和多维运动耦合特征显著增强,对系统建模以及算法的自适应性和鲁棒性的要求进一步提高。同时,为应对复杂场景下的多目标协调优化问题,考虑环境不确定性的运动规划与控制集成设计需要深入研究。增加执行器手段可以提升极限工况下车辆的侧向响应速度和控制裕度,但是冗余异构执行器的控制分配研究仍有待突破。运动控制的实现依赖于路面附着系数、质心侧偏角等信息输入,因此基于多源传感信息融合的关键状态与参数估计问题亟需解决。此外,将机器学习应用到车辆运动控制领域也是一个重要的发展方向。
XIONG L , YANG X , ZHUO G R , et al . Review on motion control of autonomous vehicles [J ] . Journal of Mechanical Engineering , 2020 , 56 ( 10 ): 127 - 143 . (in Chinese) DOI: 10.3901/JME.2020.10.127 http://doi.org/10.3901/JME.2020.10.127 The motion control problem of autonomous vehicles is reviewed. From the perspective of model, algorithm, and control structure, the domestic and foreign research progress is reviewed at three levels of longitudinal motion control, path following and trajectory tracking control, and the development prospect of motion control technology for autonomous vehicles is proposed. The current motion control research mainly focuses on normal conditions. In order to realize the potential of autonomous vehicles in handling critical scenarios that human drivers find challenging or lack the ability to navigate, it is necessary to extend the research to extreme working conditions. However, the properties of non-linearity and multi-dimensional coupled dynamics are significantly enhanced in extreme working conditions. The requirements of system modeling and adaptability and robustness of motion control algorithm are further increased. At the same time, in order to deal with the multi-objective coordination in complex scenarios, the integration of motion planning and control considering environmental uncertainty needs to be studied in depth. Adding actuators can increase the lateral response speed and control margin, but the research of control allocation of redundant and heterogeneous actuators is still to be broken through. The realization of motion control depends on road adhesion coefficient, sideslip angle, etc. Therefore, it is urgent to solve the problem of key state and parameter estimation under multi-source sensor information fusion. In addition, the application of machine learning to the field of vehicle motion control is also an important development direction.
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唐泽月 , 刘海鸥 , 薛明轩 , 等 . 基于MPC-MFAC的双侧独立电驱动无人履带车辆轨迹跟踪控制 [J ] . 兵工学报 , 2023 , 44 ( 1 ): 129 - 139 . DOI: 10.12382/bgxb.2022.0886 http://doi.org/10.12382/bgxb.2022.0886 简化模型带来的模型失配以及外部环境不确定性是导致轨迹跟踪误差的主要原因,尤其对于无人履带车辆,其复杂的物理特性和工作环境更放大了两大因素的不利影响。针对该问题,将基于模型和基于数据的控制方法结合起来,提出一种基于模型预测控制结合无模型自适应控制补偿的双侧独立电驱动无人履带车辆轨迹跟踪控制方法。在平衡建模准确度和求解耗时的基础上,利用模型预测控制进行前馈求解。针对模型预测控制中简化模型与车辆实际模型之间必然存在的差异以及环境不确定性,基于动态跟踪效果构建无模型自适应控制算法进行补偿,即利用车辆实际轨迹与模型预测所得轨迹之间的误差,对模型预测控制求解的两侧履带速度控制量进行实时修正。仿真实验结果表明,该方法能够在一定程度上抑制系统内外部不确定因素的影响,提高动态环境下双侧独立电驱动无人履带车辆轨迹跟踪控制的精度。
TANG Z Y , LIU H O , XUE M X , et al . Trajectory tracking control of dual independent electric drive unmanned tracked vehicle based on MPC-MFAC [J ] . Acta Armamentarii , 2023 , 44 ( 1 ): 129 - 139 . (in Chinese) DOI: 10.12382/bgxb.2022.0886 http://doi.org/10.12382/bgxb.2022.0886 The model mismatch caused by the simplified model and uncertainty of external environment are the main reasons for the trajectory tracking error. Especially for the unmanned tracked vehicle, its complex physical characteristics and working environment magnify the adverse effects of these two factors. To solve this problem, this paper combines the model-based and data-based control methods, and proposes a trajectory tracking control method for the dual independent electric drive unmanned tracked vehicle based on a model predictive control algorithm (MPC) combined with a model-free adaptive control algorithm (MFAC) as compensation. Firstly, based on balancing modeling accuracy and solution time, the MPC is used for feedforward solution. Then, for the inevitable differences between the simplified model in the MPC and the actual vehicle model and environmental uncertainty, the MFAC algorithm is constructed based on the dynamic tracking effect for compensation. That is, the error between the actual trajectory of the vehicle and the trajectory predicted by the model is used to correct the speed control quantities of the dual tracks solved by the MPC in real time. The simulation results show that this method can suppress the influence of internal and external uncertainties of the system to a certain extent, and improve the trajectory tracking control accuracy of the dual independent electric drive unmanned tracked vehicle in a dynamic environment.
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