On Stability and Stabilization of T–S Fuzzy Time-Delayed Systems

Abstract

In this paper, the stability analysis and control design of Takagi-Sugeno (TS) fuzzy systems subject to uncertain time-delay are addressed. The proposed approach is based on linear matrix inequalities and the Lyapunov-Krasovskii theory, where a new fuzzy weighting-dependent Lyapunov-Krasovskii functional is introduced. By employing the Gu discretization technique and strategies to add slack matrix variables, less conservative conditions are obtained. Numerical experiments are performed to illustrate the effectiveness of the proposed methodology.