Robust Stability for Nonlinear Systems with Time-Varying Delay and Uncertainties via the H∞ Quasi-Sliding Mode Control

This paper considers the problem of the robust stability for the nonlinear system with time-varying delay and parameters uncertainties. Based on the.. 8 theorem, Lyapunov-Krasovskii theory, and linearmatrix inequality (LMI) optimization technique, the H-infinity quasi-slidingmode controller and switching function are developed such that the nonlinear systemis asymptotically stable in the quasi-slidingmode and satisfies the disturbance attenuation (H-infinity-normperformance). The effectiveness and accuracy of the proposedmethods are shown in numerical simulations.