Bipartite consensus tracking for antagonistic topologies with leader's unknown input. Issue 2 (3rd March 2021)

• Record Type: Journal Article
• Authors: Nan, Xiaoya; Lv, Yuezu; Duan, Zhisheng
• Is Part Of: Asian journal of control. Volume 24:Issue 2(2022)
• Page Start: 547
• Page End: 561
• Publication Date: 2021-03-03
• Subjects: adaptive control -- bipartite consensus tracking -- multiagent systems -- signed graph; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.2497
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: In this paper, the bipartite consensus tracking problem of linear multiagent systems on leader‐follower signed directed graph is studied, where the leader's unknown input is taken into consideration. Based on only local relative information of neighboring agents, discontinuous distributed adaptive protocols are proposed, where nonlinear function is introduced for each agent to tackle leader's unknown input. To avoid tremors phenomenon, continuous distributed protocols are further presented to achieve practical bipartite consensus. Both the state feedback and output feedback cases are investigated. Different from existing literature showing bipartite consensus achievement with gauge transformation, this paper reveals a novel property of the signed Laplacian matrix, which plays a key role in simplifying the bipartite consensus demonstration. Two practical examples on synchronization of Chua's circuits are presented to illustrate the effectiveness of the designed protocols.