Uniformly ultimate boundedness event-triggered control for discrete-time uncertain linear parameter-varying systems

This paper addresses the co-design problem 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 Lyapunov function and a set of linear matrix inequalities, a sufficient stability condition in the sense of globally uniformly ultimate boundedness is firstly established. Based on the sufficient stability condition, the co-design of corresponding event-triggered controller and more general mixed event-triggering condition is further presented. The effectiveness of the proposed method is illustrated by using a numerical example.