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.
