Robust Impulsive Guaranteed Cost Control of Uncertain Chaotic Lur´e Systems

This Paper concerns impulsive guaranteed cost control problem via state feedback for uncertain chaotic Lur´e systems. The problem we address is the design of a impulsive state feedback control law such that the closed-loop system is not only asymptotically stable but also guarantees an adequate level of performance for all admissible uncertainties. A condition for the existence of the impulsive guaranteed cost control law is presented in terms of linear matrix inequalities (LMIs) and the impulsive guaranteed cost control laws are given by the solutions to these LMIs. The proposed impulsive control scheme is illustrated to uncertain Chua´s circuits and the simulation results demonstrate the effectiveness of the method.