Adaptive Fuzzy Observer-based Projective Synchronization Method for Uncertain Chaotic Systems

Abstract

This paper aims to develop the adaptive fuzzy observer-based projective synchronization techniques for a class of uncertain chaotic systems. An adaptive fuzzy observer is introduced to estimate the unknown system state variables. And a projective synchronization between the master and the slave systems is obtained via an adequate fuzzy adaptive controller. The dynamics of the original projective synchronization error are Strictly Positive Real (SPR). The Genesio chaotic system is employed in the simulation studies, and the results show the effectiveness of the proposed methods.