Reliable Guaranteed Cost Control of Networked Control System with Var- iable Sampling Period

This paper discusses the reliable guaranteed cost control problem of networked control systems with timevarying sampling period and actuator failures for a given quadratic cost function. For linear time-invariant controlled plant, we assume that the time delay is constant and shorter than the sampling period, the sampling is time-varying within a certain known bound, the system is transformed into a time-varying discrete time system, and where the time-varying sampling period parts are considered as norm bounded uncertainties of the structure parameter. Based on the linear matrix inequality (LMI) method, we have derived a sufficient condition for the existence of a reliable guaranteed cost controller. Furthermore, we have also designed a convex optimization problem with LMI for optimal reliable guaranteed cost controller which can decrease the upper bound of the closed-loop system cost. A numerical example is given to illustrate the proposed method.