Stabilization Parametric Region of Distributed PID Controllers for General First-Order Multi-Agent Systems With Time Delay

doi:10.1109/JAS.2019.1911627

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	Stabilization Parametric Region of Distributed PID Controllers for General First-Order Multi-Agent Systems With Time Delay
	Xinyi Yu; Fan Yang; Chao Zou; Linlin Ou
发表期刊	IEEE/CAA Journal of Automatica Sinica
ISSN	2329-9266
	2020
卷号	7 期号:6 页码:1555-1564
摘要	The stabilization problem of distributed proportional-integral-derivative (PID) controllers for general first-order multi-agent systems with time delay is investigated in the paper. The closed-loop multi-input multi-output (MIMO) framework in frequency domain is firstly introduced for the multi-agent system. Based on the matrix theory, the whole system is decoupled into several subsystems with respect to the eigenvalues of the Laplacian matrix. Considering that the eigenvalues may be complex numbers, the consensus problem of the multi-agent system is transformed into the stabilizing problem of all the subsystems with complex coefficients. For each subsystem with complex coefficients, the range of admissible proportional gains is analytically determined. Then, the stabilizing region in the space of integral gain and derivative gain for a given proportional gain value is also obtained in an analytical form. The entire stabilizing set can be determined by sweeping proportional gain in the allowable range. The proposed method is conducted for general first-order multi-agent systems under arbitrary topology including undirected and directed graph topology. Besides, the results in the paper provide the basis for the design of distributed PID controllers satisfying different performance criteria. The simulation examples are presented to check the validity of the proposed control strategy.
关键词	Consensus frequency domain multi-agent systems stability time delay
DOI	10.1109/JAS.2019.1911627
引用统计	被引频次：17[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/43056
专题	学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	Xinyi Yu,Fan Yang,Chao Zou,et al. Stabilization Parametric Region of Distributed PID Controllers for General First-Order Multi-Agent Systems With Time Delay[J]. IEEE/CAA Journal of Automatica Sinica,2020,7(6):1555-1564.
APA	Xinyi Yu,Fan Yang,Chao Zou,&Linlin Ou.(2020).Stabilization Parametric Region of Distributed PID Controllers for General First-Order Multi-Agent Systems With Time Delay.IEEE/CAA Journal of Automatica Sinica,7(6),1555-1564.
MLA	Xinyi Yu,et al."Stabilization Parametric Region of Distributed PID Controllers for General First-Order Multi-Agent Systems With Time Delay".IEEE/CAA Journal of Automatica Sinica 7.6(2020):1555-1564.

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