Robust H∞ control for fuzzy descriptor systems with time-varying delay and parameter uncertainties

This paper discusses the problems of robust quadratic stability and robust H∞ control for a class of fuzzy descriptor systems with time-varying delay and parameter uncertainties. Base on the definition which is given by the Weihua Tian et al, according to the theory of Lyapunov, the sufficient conditions, which maintain the stability of the closed-loop and satisfy the H∞-performance are proved. These conditions are expressed via LMIs. So the feedback gain matrix can be obtained easily by solving the LMIs.