Nonquadratic Lyapunov Function Based H∞ Control Law Design for Time-delay Fuzzy Systems

This paper deals with the stability analysis and the design of H-infinity control law for a class of discrete Takagi-Sugeno (T-S) fuzzy systems with time delays. Based on the nonquadratic Lyapunov function constructed here, the stability analysis and the design way of H-infinity control law are derived in the form of linear matrix inequality (LMI) via a nonparallel distributed compensation (non-PDC) scheme. The new conclusion under a special situation is also suitable for a PDC law. Two numerical examples are supplied to demonstrate the effectiveness of the designed control law. And both theoretical analysis and numerical examples illustrate that such novel sufficient conditions are less conservative than previous results obtained within the quadratic framework.