Abstract

Based on Lyapunov stabilization and robust control theory, an optimal guaranteed cost control law for chaos synchronization is proposed in this paper. A polytopic model-parameter uncertain presentation for robust control is applied for the piece-wise linear function which exists in a class of chaotic systems. The optimal control law with input constraint is processed by linear matrix inequality (LMI) solver. The effectiveness of the control law is verified and demonstrated by the chaotic Chua's circuit

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