Absolute Stability Condition for Uncertain T-S Fuzzy Lurie Control Systems with Time-Delay

Abstract

This paper focuses on the absolute stability of a new class of Takagi-Sugeno (T-S) fuzzy Lurie control systems with time-delay and time-variant uncertainties in the state as well as the nonlinearity functions. Based on Lyapunov-Krasovskii functional (LKF) together with linear matrix inequality (LMI) approach, a novel delay-dependent absolute stability criterion is derived. In the end, a numerical example and its simulation results are presented to illustrate feasibility and effectiveness of the proposed result.