Impulsive Local Leader-following Consensus and Estimation of Domain of Attraction of Multi-agent Systems with Actuator Saturation

Abstract

Under the distributed impulsive control with actuator saturation, the local leader-following consensus problem of linear multi-agent systems with fixed topology is considered in this paper. Based on Lyapunov stability theory, average impulsive interval method and contradiction approach, a developed sufficient condition is obtained. In addition, optimization problem constrained by local leader-following consensus criterion is established in the form of linear matrix inequalities, and solved them by YALMIP to obtain the largest domain of attraction. Finally, a numerical example is proposed to demonstrate the feasibility of the obtained results.