Event-triggered sliding mode control of linear repetitive processes and its application in metal rolling process

This paper investigates the design problem of a sliding mode controller for linear repetitive processes (LRPs) with a finite pass length on each pass. Under limited communication resources, an event-triggered mechanism is implemented from the sensors to the controller, whose triggered sequence is consistent with the evolution direction of LRPs. To periodically orchestrate communication between the controller and actuator, a round-robin scheduling mechanism is established based on the pass length. A sliding function involving the state and pass profile is constructed, and the sliding mode controller is designed using triggered states and pass profile signals. Feasible controller gains are attained to ensure the stability of the resultant closed-loop system. Finally, the proposed strategy is implemented for a multi-roll metal rolling process.