H∞ Consesus Control of Asynchronously Switched Multi-Agent Systems With Average Dwell Time

Abstract

The problem of H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> consesus control for asynchronously switched continuous-time multi-agent systems is investigated in this paper. There always exists asynchronous switching due to time delay and packet losses of network transmission which means that the switching of controllers will lag behind the switching of system modes, which will lead to performance degradation. First, the model of switched multi-agent systems is established. The H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> consensus issue can be converted as a H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> control problem via system reduction. Considering asynchronous switching phenomenon, the mean-square asymptotic stability is analyzed by the aid of multiple Lyapunov functional method and average dwell time (ADT) method. The sufficient conditions to ensure the closed-loop stable with prescribed performance are given in the form of linear matrix inequalities (LMIs). In the end , an example is given to verify the feasibility of the proposed approach.