Event‐triggered stabilization of switching systems with persistent dwell time by dynamic quantization

Abstract

The event-triggered stabilization of switching systems with persistent dwell time (PDT) by dynamic input quantization is addressed in this paper. The co-design of the event-triggered mechanism, zoom variable, PDT switching condition is achieved to eliminate the effect of asynchrony and quantization errors on stability. First, based on PDT properties and event-triggered instants, the updated law of the zoom variable is designed and the corresponding parameters are obtained by linear matrix inequalities (LMIs). Since the PDT switching contains fast switching, which allows frequent switching within a triggered interval, detailed information on the system state is challenging to obtain. Hence, the asynchrony of system and controller modes in the stability analysis is considered. Then, the existence of a common lower bound for the triggered interval is proposed, thus eliminating the Zeno behavior. Finally, the numerical simulation verifies the validity of the method.

Event‐triggered control of switched linear systems with state‐dependent switching law and unstabilizable modes

“…The event-triggered control, which determines the sampling time through preset conditions and saves a lot of communication resources, has been studied widely. [10][11][12] Numerous outstanding results have been presented in this area. For instance, Reference 13 introduces a novel event-triggered output feedback controller for linear systems, where the control input is designed to be time-varying, resulting in lower communication requirements compared to existing approaches.…”

“…Due to the digitization of many applications, controllers are usually implemented using systems' sampling information. The event‐triggered control, which determines the sampling time through preset conditions and saves a lot of communication resources, has been studied widely 10–12 . Numerous outstanding results have been presented in this area.…”