Bipartite consensus tracking for antagonistic topologies with leader's unknown input

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 adapt...

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Bibliographic Details
Published in:Asian journal of control 2022-03, Vol.24 (2), p.547-561
Main Authors: Nan, Xiaoya, Lv, Yuezu, Duan, Zhisheng
Format: Article
Language:English
Subjects:
adaptive control
bipartite consensus tracking
Circuit design
Graph theory
Linear systems
Multiagent systems
Output feedback
signed graph
State feedback
Synchronism
Topology
Tracking problem
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Summary: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.
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.2497