Novel Delay-Dependent H∞ Synchronization of Chaotic Lur'e Systems with Time-Varying Delays Based on Sampled-Data Control

Abstract

This paper investigates the problems of H∞synchronization of master-slave Lur’ e systems with uncertainty parameters and variable samplings using sampled-data control. By developing some new terms, we construct a new piecewise time-dependent Lyapunov-Krasovskii functional (LKF) to fully make ues of the available sampling information of the chaotic system and the available features of the nonlinear function vector. Furthermore, some of the symmetric matrices mentioned in LKF are not requested to be positive definite. Based on the LKF and Free-Matrix-Based (FMB) integral inequality, several less conservative synchronization criteria are derived to achieve the asymptotic synchronization of the master-slave system with a guaranteed H∞norm bound. The desired sampled-data controller which ensures the stability of the error system and declines negative effects of external disturbance on the basis of H∞norm bound can be achieved by solving a set of linear matrix inequalities (LMIs) with the maximal allowable upper bound of sampling. Finally, a numerical simulation of the Chua's circuit is considered and solved by the proposed approach so as to show the benefits and the superiority of the proposed approach over some existing methods.