Self-Triggered and Event-Triggered Control for Linear Systems With Quantization

Abstract

This paper considers the observer-based event-triggered output control problem with quantization. Both plant-to-controller (measured output) channel and controller-to-plant (control input) channel have their own dynamic uniform quantizers and samplings. Therefore, the whole system has four asynchronous clocks, two quantizer updating clocks, and two sampling updating clocks. The main contribution of this paper is the proposed self-triggered and event-triggered control method based on these four clocks. The whole system is stabilized by two steps, i.e., system and controller synchronization, and controller stabilization. In the synchronization process, novel event-triggered and self-triggered samplings are proposed in terms of dynamic quantizer parameters. While in the stabilization process, event-triggered sampling is designed based on controller states and quantizer parameters. Moreover, it is proved that the Zeno behavior would not occur. The practicality and efficiency of the proposed method are illustrated by a numerical example borrowed from recent literature.