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

[摘要] This paper considers the problem of the robust stability for the nonlinear system with time-varying delay and parameters uncertainties. Based on theH∞theorem, Lyapunov-Krasovskii theory, and linear matrix inequality (LMI) optimization technique, theH∞quasi-sliding mode controller and switching function are developed such that the nonlinear system is asymptotically stable in the quasi-sliding mode and satisfies the disturbance attenuation (H∞-norm performance). The effectiveness and accuracy of the proposed methods are shown in numerical simulations.

[学科分类] 电子、光学、磁材料