Identical and Non-identical Synchronization of Three Scroll Unified Chaotic System (TSUCS) with Unknown Parameter Using a Modified Function Projective Control Method

Abstract

This paper investigates the synchronization problem of the three-scroll unified chaotic system (TSUCS) using a modified function projective synchronization (MFPS) method. It is assumed that the parameters of both the drive and response unified chaotic systems are uncertain, while all state variables are available. First, identical synchronization of the TSUCS system is discussed with MFPS method. Then, the MFPS synchronization of TSUCS and Lu, as the two non-identical unified chaotic systems is studied. Parameter estimation strategies and feedback controllers for synchronization of the drive-response systems are designed based on the Lyapunov stability theorem and the MFPS method. The proposed synchronization scheme can be effectively utilized for synchronization of other unified chaotic systems.