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Robust Consensus Tracking Control for Multiagent Systems With Initial State Shifts, Disturbances, and Switching Topologies

机译:具有初始状态转移,干扰和切换拓扑的多主体系统的鲁棒共识跟踪控制

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摘要

This paper deals with the consensus tracking control issues of multiagent systems and aims to solve them as accurately as possible over a finite time interval through an iterative learning approach. Based on the iterative rule, distributed algorithms are proposed for every agent using its nearest neighbor knowledge, for which the robustness problem is addressed against initial state shifts, disturbances, and switching topologies. These uncertainties are dynamically changing not only along the time axis but also the iteration axis. It is shown that the matrix norm conditions can be developed to achieve the convergence of the considered consensus tracking objectives, for which necessary and sufficient conditions are presented in terms of linear matrix inequalities to guarantee their feasibility in the sense of the spectral norm. Furthermore, simulation examples are given to illustrate the effectiveness and robustness of the obtained consensus tracking results.
机译:本文讨论了多智能体系统的共识跟踪控制问题,旨在通过迭代学习方法在有限的时间间隔内尽可能准确地解决它们。基于迭代规则,针对每个代理使用其最近邻居知识提出了分布式算法,针对该代理针对初始状态转移,干扰和切换拓扑解决了鲁棒性问题。这些不确定性不仅沿着时间轴而且还在迭代轴上动态变化。结果表明,可以发展矩阵范数条件以实现考虑的共识跟踪目标的收敛,为此,根据线性矩阵不等式提出了必要条件和充分条件,以保证在频谱范数方面的可行性。此外,给出了仿真示例来说明所获得的共识跟踪结果的有效性和鲁棒性。

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