Event-Based Control for Discrete-Time Linear Parameter-Varying Systems: An Emulation-Based Design

In this paper, we present an event-based control technique for discrete-time linear parameter-varying (LPV) systems by employing an emulation approach. A new condition to design an event-triggering mechanism is proposed, and an optimisation procedure is presented to minimise the number of events. The conditions are formulated in the form of parameter-dependent linear matrix inequalities. A polynomial parameter-dependent controller is employed to stabilize the system. The impact of increasing the polynomial degree of the controller matrices on the number of events is investigated. The effectiveness of the method is illustrated through a numerical example.