Stabilization of uncertain Takagi-Sugeno descriptors: A fuzzy Lyapunov approach

This paper presents stability conditions for Takagi-Sugeno (T-S) uncertain descriptors. These are based on a fuzzy Lyapunov approach and a non-PDC (parallel distributed compensation) control scheme. To design the fuzzy controller, the stability conditions are derived into LMIs. Moreover, in order to reduce once more the conservatism of the proposed stability conditions, a relaxation scheme, allowing rewriting the triple summation structure, is introduced for T-S descriptors. A designed example illustrates the efficiency of the proposed approaches.