Nonfragile Reliable Guaranteed Cost Controller Design for Networked Control System with Variable Sampling Period Sensors

In this paper, the problem of nonfragile reliable guaranteed cost control for networked control systems with time-varying sampling period sensors and actuator failures is concerned for a given quadratic cost function. For linear time-invariant controlled plant, under the assumption that the sampling period is time-varying within a certain known bound, the time delay is constant and shorter than the sampling period of the sensors, the system is transformed into a time-varying discrete time system, where the time-varying sampling period parts are transformed into norm bounded uncertainties of the structure parameter. A new linear matrix inequality (LMI)-based approach is proposed to derive a sufficient condition for the existence of nonfragile reliable guaranteed cost controller. Furthermore, the design method of the optimal nonfragile reliable guaranteed cost controller is formulated to minimize the upper bound of the closed-loop system cost. A numerical example is given to show the usefulness and effectiveness of the proposed method.