Stabilizing switched T-S fuzzy systems using a fuzzy Lyapunov function approach

In this work, sufficient conditions for the existence of switching laws for stabilizing switched T-S fuzzy systems via a fuzzy Lyapunov function are proposed. The conditions are found by exploring properties of the membership functions and are formulated in terms of linear matrix inequalities (LMIs). A state feedback design is also used to extend the applicability of the results. Numerical examples illustrate the effectiveness of the proposed design methods.