Sliding Mode Controller Design for Global Chaos Synchronization of Coullet Systems
نویسنده
چکیده
This paper derives new results for the design of sliding mode controller for the global chaos synchronization of identical Coullet systems (1981). The synchronizer results derived in this paper for the complete chaos synchronization of identical hyperchaotic systems are established using sliding control theory and Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the sliding mode control method is very effective and convenient to achieve global chaos synchronization of the identical Coullet systems. Numerical simulations are shown to illustrate and validate the synchronization schemes derived in this paper for the identical Coullet systems.
منابع مشابه
Global Finite Time Synchronization of Two Nonlinear Chaotic Gyros Using High Order Sliding Mode Control
In this paper, under the existence of system uncertainties, external disturbances, and input nonlinearity, global finite time synchronization between two identical attractors which belong to a class of second-order chaotic nonlinear gyros are achieved by considering a method of continuous smooth second-order sliding mode control (HOAMSC). It is proved that the proposed controller is robust to m...
متن کاملSliding Mode Controller Design for the Global Chaos Synchronization of Rucklidge Chaotic Systems
This paper describes the design of sliding mode controller for the global chaos synchronization of identical Rucklidge chaotic systems (Rucklidge, 1992). Rucklidge chaotic system is one of the paradigms of threedimensional chaotic systems. The stability results derived in this paper for the complete synchronization of the identical Rucklidge chaotic systems via sliding mode control are establis...
متن کاملGlobal Chaos Synchronization for WINDMI and Coullet Chaotic Systems Using Active Control
In this paper, global chaos synchronization problem is investigated for WINDMI (J.C. Sportt, 2003) and Coullet (P. Coullet, et al., 1979) chaotic systems using active feedback control. Our theorems on synchronization for WINDMI and Coullet chaotic systems are established using Lyapunov stability theory. The controller design can be divided into two steps: the first one needs the derivation of c...
متن کاملSliding Mode Controller Design for Global Chaos Synchronization of Hyperchaotic Lorenz Systems
This paper derives new results for the design of sliding mode controller for the global chaos synchronization of identical hyperchaotic Lorenz systems (Jia, 2007). The synchronizer results derived in this paper for the complete chaos synchronization of identical hyperchaotic systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculat...
متن کاملSynchronization in the Genesio-Tesi and Coullet Systems Using the Sliding Mode Control
Chaotic behavior and control of Genesio-Tesi and Coullet is studied, in this paper. The Sliding Mode Control is proposed for synchronization in a pair of topologically inequivalent systems, the Genesio-Tesi and Coullet systems. The simulation result verifies the effectiveness of the proposed method.
متن کامل