Delay-dependent robust control for a class of uncertain delta-operator systems with time-varying delays

The problem of robust control for a class of delta-operator systems with time varying delays and linear fractional uncertainties is investigated. Attention is focused on the design of a delay-dependent state feedback controller which guarantees the asymptotically stable of the corresponding closed-loop system for all admissible uncertainties. Based on Lyapunov-Krasovkii functional, the delay-dependent sufficient condition is obtained in terms of linear matrix inequalities. Numerical example is presented to illustrate the effectiveness of the proposed method.