Guaranteed Cost Control Research for Networked Control System with Time-Varying Sampling Period

Abstract

In practical industrial applications, the networked control system is often affected by external factors and internal components in operation, which leads to the fluctuation of some data transmitted by the system and reduces the system performance. Therefore, to ensure the normal operation of the system is the key, on this basis, we also need to make the system satisfy certain performance indicators. In this paper, guaranteed cost control for networked control systems with time delay and time-varying sampling period is studied. By constructing a more general system model, we give a design method of guaranteed performance controller to make the closed-loop system asymptotically stable within the allowable range and and satisfies certain performance indicators. Firstly, we construct the reasonable Lyapunov function and performance index function. According to the relevant lemma, the sufficient conditions for the stability of the system are obtained by equivalent transformation of LMI. Then, we design a guaranteed performance controller to minimize the upper bound of the system performance index. In the design process, more free variables are introduced, and the convexity of the function is used for equivalent transformation as far as possible to make the results less conservative. Finally, we use MATLAB to simulate and prove that the method is feasible.