Adaptive bipartite consensus control of general linear multi-agent systems using noisy measurements. (May 2021)

• Record Type: Journal Article
• Authors: Wu, Yanzhi; Liang, Qingpeng; Zhao, Yiyi; Hu, Jiangping; Xiang, Linying
• Is Part Of: European journal of control. Volume 59(2021)
• Page Start: 123
• Page End: 128
• Publication Date: 2021-05
• Subjects: Cooperative-competitive multi-agent system -- A time-varying gain -- Signed graph theory; Control theory -- Periodicals; Automatic control -- Periodicals; Automatic control -- Mathematics -- Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.ejcon.2021.03.002
• Languages: English
• ISSNs: 0947-3580

Abstract

Abstract: This paper considers bipartite consensus problem for general linear systems with communication noises and antagonistic interactions. The interaction network associated with the cooperative-competitive multi-agent system is modeled by a signed graph (called coopetition network in sequel) and the agent dynamics is described by a general linear system. Instead of using the stochastic-approximation method available for previous works, adaptive laws are firstly designed for heterogenous time-varying control gains for agents. Furthermore, a fully distributed controller is proposed for multi-agent systems with measurement noises. At the same time, the bipartite consensus errors are proved to be exponentially bounded in mean square and the convergence is analyzed with a stochastic Lyapunov function method. Finally, some simulation results are presented to demonstrate the effectiveness of the proposed adaptive control strategy.