Robust fuzzy Lyapunov stabilization for uncertain and disturbed Takagi-Sugeno descriptors

In this paper, new robust H-infinity controller design methodologies for Takagi-Sugeno (T-S) descriptors considered. Based on Linear Matrix Inequalities, two different approaches are proposed. The first involves a "classical closed-loop dynamics" formulation and the second one a "redundancy dynamics" approach. The provided conditions are obtained through a fuzzy Lyapunov function and a non-PDC control law. Both the classical and redundancy approaches are compared. It is that the latter leads to less conservative stability conditions. The efficiency of the proposed control approaches for T-S descriptors as well as the benefit of the redundancy approach are shown through an academic example. Then, to show the applicability of the proposed approaches, the stabilization of an inverted pendulum on a cart is considered. (C) 2010 ISA. Published by Elsevier Ltd. All rights