Robust Fuzzy Control of Nonlinear Delay Systems Subject to Impulsive Disturbance of Input

Abstract

The problem of robust fuzzy control for a class of nonlinear delay systems subject to impulsive disturbance of input is investigated by employing Lyapunov functions. The nonlinear delay system is represented by the well-known T-S fuzzy model. The so-called parallel distributed compensation (PDC) idea is employed to design the state feedback controller. Sufficient conditions for global exponential stability of the closed-loop system are derived in terms of linear matrix inequalities (LMIs), which can be easily solved by LMI method. Simulation results show the effectiveness of the proposed controller design methodology.