Design and analysis of event-triggered predictive sliding mode control for discrete-time constrained system

This paper presents a new approach for designing an event-triggered predictive sliding mode control (SMC) for discrete-time systems subject to constraints. The proposed controller is based on an existing reach-law-based SMC, and it formulates an optimization control problem (OCP) to generate predictive control actions that satisfy both state and input constraints. An event-triggered strategy is introduced to reduce the frequency of OCP solving by taking into account the sliding mode controller and unmeasurable states between sampling instants. The paper also analyzes the recursive feasibility of the proposed controller, which ensures the feasibility of each OCP solution. Numerical simulations and comparison studies are performed to validate the theoretical results. The proposed approach offers an effective way to design event-triggered predictive sliding mode controllers that reduce the computational burden of OCP solving while guaranteeing the satisfaction of system constraints.