LMI-based fuzzy chaotic synchronization and communication

This paper presents linear matrix inequalities (LMI) based fuzzy chaotic synchronization and communication. We propose a modulated Takagi-Sugeno (T-S) fuzzy model. The modulated T-S fuzzy model is constructed by choosing the common factor or the only one variable of nonlinear terms in chaotic systems as the premise variable of fuzzy rules and output signal. Following this model, some restricting conditions required in Tanaka et al. (1998) can be relaxed. This simplified design framework can be applied to many well-known chaotic systems. Also, for chaotic communications, this modulated T-S fuzzy model illustrates asymptotical recovering of the message.