Non-fragile H∞ control for a class of nonlinear sampled-data system

Abstract

This paper considers the non-fragile control problem for uncertain nonlinear sampled-data system and controller gain perturbations. Firstly, the continuous control plant of sampled-data system is transformed into a discrete system model with nonlinear. Then, the Lyapunov stability theory and the linear matrix inequality (LMI) approach are applied to design a non-fragile controller, which results in the closed-loop system being asymptotically stable and the system's performance index being less than a given value. At the same time, the existence condition and the design approach of a non-fragile controller are presented. Finally, simulation examples are employed to verify the validity of the proposed control algorithm.