信号时滞对NMPC路径跟踪系统的影响机理与消减方法

Influence mechanism and elimination method of signal time delay on NMPC-based path tracking systems

  • 摘要: 目前已有一些针对路径跟踪控制中信号时滞问题的研究工作,但这些工作大多针对某种特定的控制方法,而在路径跟踪控制方法中,非线性模型预测控制(Nonlinear model predictive control, NMPC)具有能够显式处理系统约束、便于实现多目标优化、能够有效利用被控对象前方参考路径信息等优势,但是针对NMPC路径跟踪控制系统中时滞问题的研究较不成熟,制约了这种控制方法的实际应用. 为解决上述问题,开展了以下研究工作. 首先构建了能够较好地孤立出时滞影响的类车机器人路径跟踪控制系统. 接着分析了信号时滞对NMPC路径跟踪控制系统的影响机理,即时滞会导致控制器产生的控制信号不能适应类车机器人在执行控制信号时所处的位置. 然后提出了基于增长NMPC预测时域的时滞影响消减方法,即在迭代周期不变的情况下,在无时滞系统较优预测步数的基础上增加二倍时滞周期比以上的整数. 最后通过计算机仿真和实验验证了提出方法的有效性. 仿真和实验结果表明,信号时滞对NMPC路径跟踪控制系统存在影响,未考虑时滞的NMPC控制算法能够在无时滞系统中实现高精确性路径跟踪,而在有时滞系统中控制失效. 通过增长预测时域可以有效消减信号时滞的影响,在信号时滞约为0.2 s以上的仿真与实验系统中,基于该方法的NMPC控制器可以保证路径跟踪控制的位移误差幅值不超过0.1258 m,航向误差幅值不超过0.0583 rad.

     

    Abstract: The control systems of mobile robots and unmanned vehicles are typical examples of time-delay systems. Time delays in these systems primarily stem from the signal transmission process. After a control signal is generated by the controller, it must travel through a communication bus to reach the actuator, where it is executed. This transmission process incurs delays due to several factors, including signal propagation time along the communication lines and the buffering and reading operations performed by the bus system. These apparently minor delays can have a significant impact on the performance and stability of control systems, particularly in high-precision applications such as path tracking. Path tracking control is a fundamental function of mobile robots and unmanned vehicles. It ensures that the controlled object follows a predefined path as accurately as possible. Recently, there has been growing interest in addressing the problem of signal time delay (STD) within path tracking control systems. However, existing research tends to focus on specific control strategies, and there is a notable dearth of comprehensive solutions with generalized applicability. Among various control strategies, nonlinear model predictive control (NMPC) has garnered considerable attention due to its ability to explicitly handle system constraints, perform multi-objective optimization, and utilize future reference trajectory information. These features render NMPC particularly well-suited to complex and dynamic control environments, such as those in which mobile robots are typically employed. Despite these advantages, research addressing the influence of STD on NMPC-based path tracking systems remains limited. This knowledge gap restricts the deployment of NMPC in real-world autonomous vehicle applications where time delays are unavoidable. To address these issues, this research proposes and validates a novel approach for mitigating the adverse effects of STD on NMPC-based path tracking control systems for car-like robots. First, we developed a path tracking control framework that can effectively isolate and analyze the influence of STD. Subsequently, the underlying mechanism through which STD affects NMPC control is examined. It was observed that STD causes a mismatch between the position of the robot used by the controller to generate control inputs and the actual position of the robot when these inputs are executed, thereby degrading control accuracy and system stability. As a solution, this study proposes an STD compensation method that extends the prediction horizon. Specifically, by keeping the iteration period constant and increasing the number of prediction steps, the predictive model can effectively accommodate the time delay introduced by STD. The number of additional prediction steps required is determined as the nearest integer to twice the ratio of STD to the control period. The proposed method is validated through both simulation and experimental studies. The results demonstrate that the presence of STD significantly affects the performance of NMPC-based path tracking systems. In particular, although NMPC without STD consideration performs well under ideal conditions, it fails to maintain accurate tracking when STD is present. In contrast, the proposed compensation method effectively reduces the impact of STD, maintaining a maximum displacement error of 0.1258 m and a maximum heading error of 0.0583 rad in systems subjected to STD of approximately 0.2 s. These findings confirm that the proposed approach enhances the robustness and reliability of NMPC path tracking control systems in realistic, delay-affected environments.

     

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