Consensus of switched delay multi-agent systems via self-triggered impulsive control

Abstract

This paper addresses the consensus problem of switched nonlinear multi-agent systems with delay and disturbances on undirected graph. Under distributed self-triggered impulsive control, continuous communication among neighbours is avoided and the lower bound of inter-event time is given. By the tool of average dwell time and comparison method, we obtain less conservative conditions for practical consensus compared with the existing results. It is shown that precise consensus can be achieved for the considered multi-agent systems without disturbances. Finally, a simulation example verifies our theoretical results.

Keywords:

• Consensus
• switched multi-agent systems
• self-triggered impulsive control

Acknowledgments

The authors would like to thank the editors and the anonymous reviewers for their constructive comments and suggestions which improved the quality of the paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The project is supported by the Foundation of Key Laboratory of Advanced Process Control for Light Industry (Jiangnan University), Ministry of Education, P. R. China [grant number APCLI2002].