Robust stabilization of uncertain fractional-order systems based on T-S fuzzy model

This paper focuses on the problem of robust stabilization for uncertain fractional-order systems based on Takagi-Sugeno (T-S) fuzzy model with fractional-order a satisfies 0 < alpha < 1 and 1 <= alpha < 2. The sufficient conditions of asymptotical stability for uncertain fractional-order T-S fuzzy model are derived, and the fuzzy state feedback controller is correspondingly designed to asymptotically stabilize the model in those two cases. These results are obtained in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are offered to demonstrate the effectiveness of the proposed method.