Finite-time [formula omitted] cluster consensus control for nonlinear multi-agent systems with aperiodically intermittent control

Abstract

This paper investigates the finite-time H∞ cluster consensus for a class of nonlinear multi-agent systems with uncertainties and external disturbances. First, a new aperiodic intermittent controller is designed, which considers both intermittent control and cluster consensus control. Second, the problem of finite-time H∞ cluster control when the system encounters external disturbances is investigated. With the help of the Lyapunov stability criterion and linear matrix inequality analysis techniques(LMI), sufficient conditions for the system to achieve finite-time H∞ cluster consensus control under the action of intermittent control strategy are obtained. Finally, the feasibility of the theoretical analysis is verified by numerical simulation.