Anti-Synchronization of Chaotic System by Sliding Mode Control and Observer

Abstract

The Anti-synchronization of chaotic systems with uncertainty by sliding mode control is studied. Using the principle of poles assignment method, the switching function is designed to guarantee Anti-synchronization of slide mode with nonlinearity terms. Using exponent hitting condition of sliding mode, a robust anti-synchronization controller is proposed. In contrast to the previous works, sliding mode of this controller is free from the influence of disturbance, and the system has both better robustness and quick tracking. Therefore the computation is simple and the conservation is smaller. Finally, Simulation results verify the effectiveness of the proposed scheme.

Complete Synchronization and Partial Anti-Synchronization of Complex Lü Chaotic Systems by the UDE-Based Control Method

“…First, consider the existence of the partial anti-synchronization problem. Obviously, system (20) does not satisfy the condition of G(−H) = −G(H), so consider the partial anti-synchronization of the systems.…”

“…[15][16][17]). In recent years, scholars proposed various control methods to achieve the complete synchronization and partial anti-synchronization of chaotic systems, such as passive control [18], adaptive control [19], sliding mode control [20] and fuzzy control [21]. For complete synchronization, most studies only dealt with chaotic systems containing one-dimensional model uncertainty and external disturbance in the system; in fact, the uncertainty and disturbance of such systems are often multidimensional in number [22][23][24][25][26].…”