The consensus of nonlinear multi-agent system with switching topologies and communication failure

Article type: Research Article

Authors: Ren, Tao^{a; *} | Wang, Yi-fan^{a; *} | Liu, Miao-miao^a | Li, Cai-juan^b | Liu, Yi-yang^c

Affiliations: [a] Software College, Northeastern University, Shenyang, China | [b] College of Information Science and Engineering, Northeastern University, Shenyang, China | [c] Shenyang Institute of Automation Chinese Academy of Sciences, Shenyang, China

Correspondence: [*] Corresponding author. Tao Ren and Yi-fan Wang, Software College, Northeastern University, Shenyang 110819, China. Tel.: +86 13840366956; Fax: +86 24 83680498. E-mails: [email protected] (T. Ren); E-mail: [email protected] (Y.-F. Wang).

Abstract: In this paper, for nonlinear multi-agent systems under switching topologies with communication failure, the leader-following consensus problem is studied. Firstly, several switching topologies including a null graph are considered. Secondly, the novel consensus protocols for followers are given considering the communication failure (null graph). Then the convergence analysis is presented and some sufficient conditions are derived for the consensus tracking in a leader-followers multi-agent network. The analysis tools developed in this paper are based on matrix theory and control theory. Finally, the simulations show that by the proposed theorem, the consensus can be achieved and the control gain can influence the speed of the consensus.

Keywords: Multi-agent systems, communication failure, consensus, switching topologies

DOI: 10.3233/IFS-151844

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1199-1206, 2016