Non-fragile Cost-Guaranteed H∞ Control for a Class of Nonlinear Sampled-data System with Time Delay

This paper investigates the non-fragile cost-guaranteed H-infinity control problem for uncertain nonlinear sampled-data system with time delay 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 nonfragile cost-guaranteed H-infinity controller, which guarantees the asymptotic stability of the resulting closedloop system for all admissible uncertainties and nonlinearities. At the same time, the existed condition and the design approach of a non-fragile cost-guaranteed H-infinity controller are presented. Finally, simulation examples are employed to verify the validity of the proposed control algorithm. (C) 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of [CEIS 2011]