Non-fragile LQ fuzzy control for a class of nonlinear descriptor system with time delays

This paper focuses on non-fragile linear quadratic (LQ) fuzzy control problem for a class of nonlinear time-delayed descriptor systems with norm-bounded time-varying uncertainties in the matrices of state, delayed state and control gain via state feedback controllers. The system is represented by Takagi-Sugeno (T-S) fuzzy model. Sufficient conditions are derived for the existence of LQ fuzzy controllers in terms of linear matrix inequalities (LMI). An example is given to illustrate the use of the proposed results.