Event-triggered bounded consensus for stochastic multi-agent systems with communication delay

ABSTRACT

This paper investigates a problem on event-triggered bounded consensus control for a stochastic multi-agent system with communication delay, process and measurement noises. First, according to Kalman filtering theory, the optimal state estimation of each agent is obtained and sent to its neighbour agents through the undirected network topology. Correspondingly, an event-triggered controller related to the communication delay is proposed to reduce update frequency of the controller effectively. Then, the feedback gain and triggering parameters are co-designed and solved through linear matrix inequality. Relational conclusions for bounded consensus in mean square are established for fixed and time-varying communication delays, respectively. Finally, the effectiveness of the presented results are illustrated through a simulation example.

KEYWORDS:

• Multi-agent systems
• event-triggered control
• Kalman filter
• bounded consensus

Acknowledgments

The authors would like to thank the anonymous reviewers for their detailed comments that helped to improve the quality of the paper. The work was supported by the National Natural Science Foundation of China (61773334, 61773154), the National Key Research and Development Program of China (2018YFB1702300), and the Natural Science Fund of Hebei Province (F2020203079).

Disclosure statement

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

Additional information

Funding

The work was supported by the National Natural Science Foundation of China [grant numbers 61773334, 61773154], the National Key Research and Development Program of China [grant number 2018YFB1702300], and the Natural Science Fund of Hebei Province [grant number F2020203079].