Semi-global bipartite consensus tracking of singular multi-agent systems with input saturation

This paper investigates the problem of bipartite consensus tracking for a class of linear singular multi-agent systems under a signed graph topology, where the control input of each agent is subject to saturation. By exploiting a parametric algebraic Riccati equation (ARE)-based low-gain feedback ap...

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Bibliographic Details
Published in:Neurocomputing (Amsterdam) 2021-04, Vol.432, p.183-193
Main Authors: Zhu, Zhen-Hua, Guan, Zhi-Hong, Hu, Bin, Zhang, Ding-Xue, Cheng, Xin-Ming, Li, Tao
Format: Article
Language:English
Subjects:
Bipartite consensus tracking
Input saturation
Low gain feedback
Signed graphs
Singular multi-agent systems
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Summary:This paper investigates the problem of bipartite consensus tracking for a class of linear singular multi-agent systems under a signed graph topology, where the control input of each agent is subject to saturation. By exploiting a parametric algebraic Riccati equation (ARE)-based low-gain feedback approach, a static state feedback control protocol and a dynamic observer-based output feedback control protocol are developed utilizing local information. It is shown that under the presented protocols, semi-global bipartite consensus tracking can be achieved if the underlying signed communication graph is structurally balanced and contains a spanning tree rooted at the leader. A numerical example is finally given to illustrate the effectiveness of the theoretical results.
ISSN:0925-2312
1872-8286
DOI:10.1016/j.neucom.2020.12.049