Membership-Function-Dependent Stabilization Conditions for Interval Type-2 Fuzzy Time-Delay Systems via Static Output Feedback Scheme

This paper presents stabilization conditions of interval type-2 (IT2) Takagi–Sugeno (T–S) fuzzy time-delay systems. A static output feedback controller with imperfect premise matching is proposed to perform the control process. A Lyapunov function with triple-integral term is constructed to derive less conservative stabilization conditions for IT2 T–S fuzzy time-delay systems. Based on Lyapunov stability theory, a series of linear matrix inequalities are obtained to ensure the asymptotic stability of the closed-loop systems. Using membership-function-dependent information and Wirtinger-based integral inequalities, less conservative stabilization conditions are developed. Two numerical examples are given to illustrate the effectiveness of the proposed approach.