Synchronization for a class of SQCF-like chaotic system based on high-gain observer

Abstract:

Abstract: This paper deals with the problem of synchronization of a class of SQCF-like chaotic system based on high-gain observer. By imposing a sliding mode term to suppress the unknown disturbance, a robust high-gain observer can be realized. The high-gain matrix of the proposed observer depends on the solution of an algebraic Riccati equation, so the existence of the solution for this equation is discussed. The sliding-mode gain is designed to ensure that the sliding mode can be reached and maintained. The convergence of the synchronization is proved based on a coordinate transformation and the Lyapunov theory. Finally some simulation results for SQCF chaotic system demonstrate the effectiveness of the proposed method.

Key words:Lipschitz condition; high gain observer; chaotic synchronization; sliding mode; SQCF system