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基于扩展卡尔曼滤波器的MPC车辆轨迹跟踪控制OA

MPC Vehicle Trajectory Tracking Control Based on Extended Kalman Filter

中文摘要英文摘要

为增强无人驾驶车辆在现实噪声环境干扰下的轨迹跟踪控制稳定性,基于模型预测控制(MPC)原理构建了一种车辆轨迹跟踪控制器,即结合扩展卡尔曼滤波算法的模型预测控制器(EKF-MPC).首先构建了车辆动力学模型,并设计了轨迹跟踪控制器、目标函数以及与之相适应的相关约束条件,再通过MPC算法求解最优解,并在每个控制采样时刻,动态更新扩展卡尔曼状态估计器的相关增益矩阵,计算车辆在当前环境下的后验状态矩阵,以此有效抵消车辆非线性特性及状态测量噪声带来的不良影响.利用Matlab与CarSim软件构建仿真模型并进行联合仿真验证,仿真结果表明:相较于MPC控制器,EKF-MPC控制器在不同路段的安全性提升了2.3%,可行性提高了37.7%,稳定性得到显著提升,为车辆轨迹跟踪控制技术的发展提供了有力支持.

To enhance the trajectory tracking control stability of driverless vehicles under real-world noise interference,a vehicle trajectory tracking controller based on model predictive control(MPC)integrated with the extended Kalman filter algorithm(EKF-MPC)was constructed.Firstly,a vehicle dynamics model was established,and the trajectory tracking controller,objective function,relevant constraint conditions were designed to address nonlinear vehicle characteristics and measurement noise.The MPC algorithm was applied to solve for the optimal control inputs at each sampling instant.Meanwhile,the extended Kalman state estimator dynamically updated its gain matrices to calculate the posterior state matrix,effectively counteracting the adverse effects of vehicle nonlinearity and state measurement noise.Joint simulation verification was conducted using Matlab and CarSim,and the results show that compared with the conventional MPC controller,the EKF-MPC controller improves safety by 2.3%and feasibility by 37.7%across different road sections.Its stability is significantly enhanced,these findings provide strong support for the development of vehicle trajectory tracking control technology.

霍婷婷;贾志龙;晏永;张庆

宁夏师范大学 物理与电子信息工程学院,宁夏 固原 756000宁夏师范大学 物理与电子信息工程学院,宁夏 固原 756000中北大学 机电工程学院,山西 太原 030051宁夏师范大学 物理与电子信息工程学院,宁夏 固原 756000

交通工程

轨迹跟踪扩展卡尔曼滤波模型预测控制CarSim软件

trajectory trackingextended Kalman filter(EKF)model predictive control(MPC)CarSim software

《电气传动》 2026 (6)

76-84,9

2024年宁夏回族自治区自然科学基金(2024AAC03317)

10.19457/j.1001-2095.dqcd26531

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