Reliable Guaranteed Cost Control of Networked Control System with Variable Sampling Period

ABSTRACT

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.

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