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This paper presents synchronization of chaotic systems by polynomial fuzzy model. The sum of squares (SOS)-based framework contributes a large number of innovations and improvements over the LMI-based approaches to T-S fuzzy modeling and control. Polynomial fuzzy systems provide more general and effective than other fuzzy approaches. This paper derives SOS-based stability conditions for chaotic systems with decay rate and input constraint. Computer simulations illustrate the validity and applicability.