具有任意收敛时间的一般线性系统的聚类一致控制

Lu Ren, Xiaofeng Li, Mengwei Sun, Dongbin Zhao
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引用次数: 0

摘要

研究具有任意收敛时间的一般线性系统的聚类一致性问题。利用最优控制理论,设计了一种具有时变反馈增益的分布式控制器,以保证集群在预定时间内达到一致。值得注意的是,每个簇的底层拓扑被假设为包含有向生成树的有向图,并且收敛时间可以任意确定,而不依赖于初始条件或系统参数。然后,从拓扑结构的角度给出了充分的条件。最后,通过数值算例验证了所得结果的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Cluster consensus control for general linear systems with arbitrary convergence time
This paper investigates the cluster consensus prob-lem for general linear systems with arbitrary convergence time. By using the optimal control theory, we design a novel distributed controller with time-varying feedback gain for guaranteeing the cluster consensus can be reached within the pre-specified time. It is noteworthy that the underlying topology of each cluster is assumed to be directed graphs containing a directed spanning tree and the convergence time can be determined arbitrarily without depending on the initial condition or system parameters. Then, a rigorous analysis is provided to derive sufficient conditions in terms of topology structure. Finally, a numerical example is presented to validate the effectiveness of our result.
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