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

Abstract

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 L2 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.

Keywords

• Chaotic systems
• master-slave systems
• H-Infinity robust controller
• Synchronization of chaotic systems
• L2 gain performance