Output feedback control for T-S discrete-time nonlinear descriptor models

This paper presents a static output feedback controller design for discrete-time nonlinear descriptor models. The conditions are given in terms of linear matrix inequalities (LMIs). The approach is based on the Takagi-Sugeno (T-S) representation of the nonlinear system and Finsler´s Lemma. The proposed method exploits the discrete-time nature of the T-S model by the use of delayed Lyapunov functions, which provide more degrees of freedom without increasing the number of LMIs. It is also extended for robust control. The benefits of the proposed approaches are illustrated via numerical examples.