多未知非线性欧拉-拉格朗日系统的分布式协调跟踪控制

Zhi Feng, G. Hu
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引用次数: 8

摘要

本文研究了一类多未知非线性欧拉-拉格朗日系统的鲁棒分布式一致性跟踪问题,其中只有一部分智能体可以访问期望轨迹。首先为每个智能体建立一个非线性辨识器来估计未知的非线性动力学和扰动。在此基础上,提出了一种连续分布式共识跟踪算法,实现了无向图下的鲁棒共识跟踪。用图论和李雅普诺夫分析证明了闭环的稳定性。根据导出的充分条件选择辨识器和控制器参数,通过局部信息交换实现鲁棒渐近一致跟踪。算例说明了该方法的有效性。
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Distributed coordinated tracking control for multiple unknown nonlinear Euler-Lagrange systems
This paper studies a robust distributed consensus tracking problem for a class of multiple unknown nonlinear Euler-Lagrange systems where only a subset of the agents has access to the desired trajectory. A nonlinear identifier is first developed for each agent to estimate the unknown nonlinear dynamics and disturbances. Based on the identifier, a continuous distributed consensus tracking algorithm is developed to enable robust consensus tracking under an undirected graph. The closed-loop stability is proven by graph theory and Lyapunov analysis. By selecting the identifier and controller parameters according to the derived sufficient conditions, robust asymptotic consensus tracking can be enabled through local information exchange. An example is provided to illustrate the effectiveness of the proposed method.
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