Optimal guaranteed cost control of NCSs with time-varying sampling

Abstract

In this paper, for the networked control systems with time-varying bounded sampling periods and time-delay, they are modeled as a class of discrete systems. The closed-loop NCS is transformed into a time-varying dynamic interval system with Taylor formula, where the time-varying sampling periods and time delay parts are treated as norm bounded uncertainties of the structure parameter. Based on the linear matrix inequality (LMI) approach, the optimal guaranteed cost control law is proposed. Finally, a simulation example is given to validate the feasibility of the results.