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

This paper considers the non-fragile cost-guaranteed 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 nonlinearity. Then, the Lyapunov stability theory and the linear matrix inequality (LMI) approach are applied to design a non-fragile cost-guaranteed 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 cost-guaranteed controller are presented. Finally, simulation examples are employed to verify the validity of the proposed control algorithm.