Exponential H∞ tracking control for switched neutral system with time-varying delay

The problem of exponential H∞ output tracking control is considered in this paper for switched neutral system with time-varying delay and nonlinear perturbations. The exponential H∞ performance index is first introduced to study this problem for switched neutral system. The considered systems consist of different neutral and discrete delays without any restriction on the upper bound of the derivative of the delay. By resorting to the average dwell time approach, also by constructing a proper Lyapunov-Krasovskii functional and employing the free-weighting matrix method, some new delay-dependent criteria guaranteeing exponential stability are developed. We use the proposed control law and designed switching law to satisfy the H∞ model reference output tracking performance. A numerical example is given to demonstrate the effectiveness of the proposed method.