Master-slave H∞ robust controller design for synchronization of chaotic systems

This paper is devoted to robust master-slave controller design for generalized chaotic systems synchronization. The closed-loop system is asymptotically stable when the robust stability conditions hold and while the H-infinity norm of the closed-loop transfer function with respect to defined output and input is strictly less than gamma > 0. In this paper a modified L-2 gain approach is used and an original design procedure is proposed to decrease the conservativeness of the former method. The effectiveness of the proposed method is shown in numerical examples.