Robust dissipative control for discrete-time T-s fuzzy systems with time delays

Robust stability problem and dissipativeness analysis for uncertain discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delays is studied via Lyapunov stability theory. The parametric uncertainty is assumed to be norm bounded. Based on Lyapunov stability theory, a sufficient condition on the existence of robust dissipative controllers is derived firstly. Then with the help of linear matrix inequality (LMI) method, robust dissipative controllers are designed such that for all admissible uncertainties and time delays, the closed-loop system is robust stable and strictly dissipative. A numerical example demonstrates the effect of the proposed design method.