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

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.