Impulsive control for T-S fuzzy model based chaotic systems with adaptive feedback

A novel impulsive control scheme for Takagi-Sugeno (T-S) fuzzy model based chaotic systems with adaptive feedback is proposed. Firstly, we utilize a T-S fuzzy model to represent a chaotic system with adaptive feedback. Secondly, using comparison methods, a sufficient criterion for the T-S fuzzy model is derived in terms of linear matrix inequalities (LMIs) and the procedure of controller design is given. Finally, as an illustrative example, its application to stabilize the famous Lorenz system shows the effectiveness of the proposed scheme.