Scaled Bipartite Consensus Controller Design for Second-Order Multi-Agent Systems with Mixed Time-Delays

The scaled bipartite consensus of second-order multi-agent systems is investigated in this paper. The internal delay and distributed delay are also considered in the dynamic model of each agent, in which the delays can be time-varying and large. The communication topology among agents is assumed to...

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Bibliographic Details
Published in:Journal of systems science and complexity 2022-06, Vol.35 (3), p.888-908
Main Authors: Yang, Ruitian, Peng, Li, Yang, Yongqing, Zhao, Huarong
Format: Article
Language:English
Subjects:
Adaptive control
Adaptive systems
Complex Systems
Control
Control systems design
Dynamic models
Graph theory
Mathematics
Mathematics and Statistics
Mathematics of Computing
Multiagent systems
Operations Research/Decision Theory
Statistics
Systems Theory
Topology
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Summary:The scaled bipartite consensus of second-order multi-agent systems is investigated in this paper. The internal delay and distributed delay are also considered in the dynamic model of each agent, in which the delays can be time-varying and large. The communication topology among agents is assumed to be directed and structurally balanced. On one hand, in order to guarantee scaled bipartite consensus of second-order multi-agent systems, an adaptive periodically intermittent control protocol is applied. On the other hand, some consensus criteria in the form of matrix inequalities are obtained by using Jensen inequality, Lyapunov stability theory and graph theory. Finally, a numerical simulation example is given to demonstrate the feasibility of theoretical results.
ISSN:1009-6124
1559-7067
DOI:10.1007/s11424-021-0189-y