Stabilization of linear systems via state-dependent intermittent control

Abstract

This paper mainly addresses the stabilization issue of linear systems via state-dependent intermittent control. Based on the concept of intermittent control, we initially propose the description of a state-dependent intermittent controller. Then, in this kind of framework, a state-dependent intermittent controller is designed to stabilize the given system by Lyapunov function method. It is worth pointing out that, compared with a continuous controller, the designed state-dependent intermittent controller is capable of shortening control task execution time while still retaining satisfactory performances or even realizing the better effects. Thirdly, to avoid the occurrence of chattering, the description of a state-dependent intermittent controller is further improved and a nicer stabilization criterion is provided. Finally, illustrative simulation examples are given to show the validity and superiority of the developed results.