Delay-Dependent Robust Control for Uncertain T-S Fuzzy Systems with State and Input Time Delays

Abstract

This paper investigates the problem of delay-dependent stabilization for uncertain T-S fuzzy systems with state and input time time-varying delays. A new method is proposed by defining a novel Lyapunov-Krasovskii functional and making use of novel techniques to achieve delay dependence. Unlike existing works in this topic, this approach developed in this paper employs neither free-weighing matrices nor model transformations, using Jensen's inequality. As a result, simplified yet improved stability conditions for T-S fuzzy systems with norm bounded type uncertainties are obtained. All the conditions are derived in terms of linear matrix inequalities (LMI), which can be solved by using LMI optimization techniques. The benefits and efficiency of the method are demonstrated by the numerical example.