Generalized asymptotic synchronization between Chen hyperchaotic system and Liu hyperchaotic system: A fuzzy modeling method

Abstract

In this paper, the generalized asymptotic synchronization between Chen hyperchaotic system and Liu hyperchaotic system is investigated. The two hyperchaotic systems to be synchronized are represented by the T-S fuzzy models with a small number of fuzzy IF-THEN rules exactly. Then, based on the T-S fuzzy hyperchaotic systems, a simple fuzzy controllers is designed via parallel distributed compensation (PDC) and exact linearization (EL) techniques to realize the generalized asymptotic synchronization of the above two hyperchaotic systems. Simulation results are presented to demonstrate the validity of the proposed hyperchaotic generalized synchronization method.