H infinity control for discretetime Takagi-Sugeno descriptor models: a delayed approach

This paper provides conditions for H? control of discrete-time nonlinear descriptor models. The nonlinear model is represented by a Takagi-Sugeno one. Conditions are given in terms of linear matrix inequalities. Relaxed conditions are obtained via delayed Lyapunov functions and delayed control laws. Such an approach allows adding extra decision variables without increasing the number of LMI conditions. The benefits of the proposed approach are verified via a numerical example.