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arXiv 2602.15424cs.RO
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基于李雅普诺夫的PI类控制用于四轮独立驱动与转向机器人的鲁棒轨迹跟踪:设计与实验验证

Lyapunov-Based PI-Like Control for Robust Trajectory Tracking of a Four-Wheel Independently Driven and Steered Robot: Design and Experimental Validation

Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb(Zagreb大学机械工程与造船工程学院);Regional Centre of Excellence for Robotic Technology (CRTA)(机器人技术卓越研究中心);Croatian Academy of Sciences and Arts(克罗地亚科学院)

Branimir Ćaran, Vladimir Milić, Marko Švaco, Bojan Jerbić

AI总结:

提出一种基于李雅普诺夫的PI类控制器,结合模型前馈补偿,实现四轮独立驱动与转向机器人的鲁棒轨迹跟踪,并通过实验验证其优于PI和滑模控制器。

摘要:

本文提出了一种基于李雅普诺夫综合的PI类控制器,用于独立驱动和转向的四轮移动机器人的鲁棒轨迹跟踪。对于本文所考虑的机器人,使用了一个明确的结构验证数学模型,以实现系统化的控制器设计,并具有严格的稳定性保证,适用于实时实现。针对内环的速度误差和积分误差联合动力学,开发了基于李雅普诺夫的实用稳定性分析,得出了速度误差和积分误差联合状态的实用稳定性和一致最终有界性的显式界和充分条件。所得控制律保留了PI类结构,并具有基于模型的前馈补偿,使其适用于标准嵌入式平台上的实现,同时提高了对构型依赖的残余动力学和未建模效应的鲁棒性。所提设计的有效性和鲁棒性在四轮独立转向和独立驱动的移动机器人平台上进行了实验验证,包括水平和垂直操作条件,并与PI控制器和滑模控制器进行了对比。

英文摘要:

In this paper, a Lyapunov-based synthesis of a PI-like controller is proposed for robust trajectory tracking of an independently driven and steered four-wheel mobile robot. For the robot considered in this work, an explicit structurally verified mathematical model is used to enable systematic controller design with rigorous stability guarantees suitable for real time implementation. An augmented Lyapunov-based practical stability analysis is developed for the combined velocity-error and integral-error dynamics of the inner loop, yielding explicit bounds and sufficient conditions for practical stability and uniform ultimate boundedness of the combined velocity-error and integral-error state. The resulting control law retains a PI-like structure with model-based feedforward compensation, making it suitable for implementation on standard embedded platforms while improving robustness against configuration dependent residual dynamics and unmodelled effects. The effectiveness and robustness of the proposed design are demonstrated experimentally on a four-wheel independently steered and independently driven mobile robot platform, under both horizontal and vertical operating conditions and benchmarked against a PI controller and a sliding-mode controller.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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