Adaptive impulsive consensus of nonlinear multi-agent systems via a distributed self-triggered strategy

Abstract

This article investigates the consensus problem of nonlinear leader-following multi-agent systems (MASs) via adaptive impulsive control. A distributed impulsive controller is employed, in which an adaptive updating law in the discrete-time setting is designed for the impulsive gain. Moreover, in order to reduce the communication cost, a distributed self-triggered strategy is proposed to determine when the impulsive instant occurs. Some criteria are derived to guarantee consensus of leader-following MASs based on Lyapunov stability theory and algebraic Riccati equation. It is proved that the self-triggered impulsive sequence does not exhibit Zeno behaviour. Finally, an illustrative example is presented to empirically validate the effectiveness of the theoretical results.

Keywords:

• Multi-agent systems
• adaptive impulsive consensus
• distributed self-triggered strategy

Disclosure statement

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this article.

Data availability statement

Data sharing is not applicable to this article as no new data were created or analysed in this study.

Additional information

Funding

This work was supported by National Natural Science Foundation of China (Basic Science Center Program: 61988101), Shanghai International Science Technology Cooperation Program (21550712400) and Shanghai Pilot Program for Basic Research (22TQ1400100-3), National Natural Science Foundation of China (62173147) and Fundamental Research Funds for the Central Universities.