Designing Proportional-Integral Consensus Protocols for Second-Order Multi-Agent Systems Using Delayed and Memorized State Information

doi:10.1109/JAS.2024.124308

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	Designing Proportional-Integral Consensus Protocols for Second-Order Multi-Agent Systems Using Delayed and Memorized State Information
	Honghai Wang; Qing-Long Han
刊名	IEEE/CAA Journal of Automatica Sinica
	2024
卷号	11 期号:4 页码:878-892
关键词	Consensus protocol Hurwitz stability multi-agent systems quasi-polynomials time delay
ISSN号	2329-9266
DOI	10.1109/JAS.2024.124308
英文摘要	This paper is concerned with consensus of a second-order linear time-invariant multi-agent system in the situation that there exists a communication delay among the agents in the network. A proportional-integral consensus protocol is designed by using delayed and memorized state information. Under the proportional-integral consensus protocol, the consensus problem of the multi-agent system is transformed into the problem of asymptotic stability of the corresponding linear time-invariant time-delay system. Note that the location of the eigenvalues of the corresponding characteristic function of the linear time-invariant time-delay system not only determines the stability of the system, but also plays a critical role in the dynamic performance of the system. In this paper, based on recent results on the distribution of roots of quasi-polynomials, several necessary conditions for Hurwitz stability for a class of quasi-polynomials are first derived. Then allowable regions of consensus protocol parameters are estimated. Some necessary and sufficient conditions for determining effective protocol parameters are provided. The designed protocol can achieve consensus and improve the dynamic performance of the second-order multi-agent system. Moreover, the effects of delays on consensus of systems of harmonic oscillators/double integrators under proportional-integral consensus protocols are investigated. Furthermore, some results on proportional-integral consensus are derived for a class of high-order linear time-invariant multi-agent systems.
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/55363]
专题	自动化研究所_学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	Honghai Wang,Qing-Long Han. Designing Proportional-Integral Consensus Protocols for Second-Order Multi-Agent Systems Using Delayed and Memorized State Information[J]. IEEE/CAA Journal of Automatica Sinica,2024,11(4):878-892.
APA	Honghai Wang,&Qing-Long Han.(2024).Designing Proportional-Integral Consensus Protocols for Second-Order Multi-Agent Systems Using Delayed and Memorized State Information.IEEE/CAA Journal of Automatica Sinica,11(4),878-892.
MLA	Honghai Wang,et al."Designing Proportional-Integral Consensus Protocols for Second-Order Multi-Agent Systems Using Delayed and Memorized State Information".IEEE/CAA Journal of Automatica Sinica 11.4(2024):878-892.