Synchronization of Chaotic System Based on Finite-time Observer

According to the concept of finite-time stability,the finite-time observer is introduced to deal with the synchronization problems of the chaotic systems.The synchonization error of the state variables can be convergence to a finite bounder in finite-time.The existence conditions of observer are reduced to feasibility problems involving linear matrix inequalities.The existence condition of the finite-time observer of the chaotic systems is obtained and the state observer design is given out.The simulation of the Duffing-Holmes chaotic system shows the effectiveness of the proposed method.