Fuzzy Sliding-Mode Controller Design for Two 4-D Different Hyperchaotic System

This paper presents a fuzzy sliding mode controller for synchronization of two 4-D hyperchaotic systems. This paper describes two 4-D hyperchaotic systems a LU system and a Newton-Leipnik system. A LU system is defined as master system and the Newton-Leipnik system is defined as the slave system. In the controller design, an additional controller is designed using a sliding surface to ensure the sliding motion through the entire state trajectory. The method of designing a fuzzy sliding mode control (FSMC) is provided, which utilizes a normalization factor. FSMC is designed to guarantee the global asymptotic synchronization of state trajectories of two different 4-D hyperchaotic systems. The effectiveness of the proposed FSMC scheme is verified by experimental results, and good transient response is indicated. 4-D hyperchaotic systems are numerically simulated to illustrate the validity and feasibility of the proposed control structure. Master systecan drive salve system by fuzzy sliding mode control.

Keywords:

– 4-D hyperchaotic systems , Fuzzy Sliding M ode Control(FSMC) , synchronization , master , slave