Event-triggered bipartite consensus for multiagent system with general linear dynamics: an integral-type event triggered control

TL;DR

This paper introduces an integral-based event-triggered control method for multi-agent systems with general linear dynamics, ensuring bipartite consensus and positive inter-event times, supported by theoretical proofs and numerical validation.

Contribution

It presents a novel integral-type event-triggering controller that guarantees bipartite consensus and positive minimum inter-event times for systems with general linear dynamics.

Findings

Achieves asymptotic bipartite consensus.

Ensures positive minimum inter-event time (MIET).

Validated effectiveness through numerical simulations.

Abstract

In this paper, we propose an integral based event-triggering controller for bipartite consensus of the multi-agent systems whose dynamics are described by general linear system. We prove that the system achieves the bipartite consensus in asymptotic regime and there is a positive minimum inter-event time (MIET) between two consecutive triggering times of each agent. The proof of the asymptotive stability involves a novel argument used to bound the norm of the difference between the true state and its estimated state (for each time) by an integration of its square. Numerical results are provided supporting the effectiveness of the proposed controller.