Delay-dependent exponential stabilization of nonlinear delay systems subject to impulsive disturbance of input

The problem of delay-dependent exponential stabilization 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, which are dependent of time delays, 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.