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) systems to reduce the data transmission of the scheduling variables and states to the controller. 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 inequalities (LMI). Simulation results are presented to demonstrate the effectiveness of the proposed control design approach.