Event-Triggered $$H_{\infty }$$ H ∞ Consensus Control for Multi-agent Systems with Disturbance

Abstract

This paper is devoted to the event-triggered consensus control for a general linear multi-agent network system with external disturbances. First a controlled output is defined and a model transformation is conducted to transform the consensus problem into an \(H_{\infty }\) problem. Then a distributed event-based controller is proposed so that the system can reach the consensus results by only using the agent’s own information and its neighbors’. The final conclusion is given in the form of a matrix inequality. Finally a simulation is introduced to verify the theoretical conclusions.