Event-triggered control for discrete-time linear parameter-varying systems

This paper examines a new event-triggered control design approach for discrete-time linear parameter-varying (LPV) system. To this purpose, a novel event-triggering framework is first introduced for LPV systems to reduce the data transmission of the scheduling variables and states to the controller. Next, a parameter dependent state-feedback controller and an event-triggering condition are designed jointly to stabilize the closed-loop system. Then, a procedure is proposed to obtain an event-based reference tracking controller for the LPV systems such that the steady-state response of the system output tends to a desired reference signal and the required tracking performance specifications are satisfied. Sufficient conditions for the design of the event-triggered controller are obtained in the form of linear matrix inequality (LMI) problems. Simulation results are finally presented to demonstrate the effectiveness of the proposed control design approach