Dynamic event-triggered sliding mode control for the uncertain discrete-time system using the reaching law

Abstract

Based on the reaching law, this paper investigates the issue of dynamic event-triggered sliding mode control for uncertain discrete-time systems with disturbances. A dynamic event-triggered mechanism is proposed to enhance the data utilization rate, and an observer is introduced accordingly. An observer-based linear sliding surface is then designed. Furthermore, a sliding mode controller based on a chattering-free reaching law is designed to ensure the reachability of the sliding region. The stability of the closed-loop system, including quasi-sliding mode and error dynamics, is analyzed. Finally, two illustrative examples are presented to compare and validate this method.