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

This paper addresses the co-design problems of event generator and controller for linear parameter varying systems where the parameters are not exactly known, but only estimated parameters satisfying certain uncertainty level is known. By applying a quadratic input-to-state stable Lyapunov function, a sufficient condition for the existence of the event-triggered controller and event generator is established using the linear matrix inequalities. We further present a sufficient condition for linear time-invariant systems. Using a numerical example, the effectiveness of the proposed method is illustrated.