Asynchronous finite-time control for networked switched linear parameter-varying systems via an event-triggered communication scheme

This article addresses the finite-time control problem for a class of switched linear parameter-varying systems via an event-triggered communication scheme. Different from the existing finite-time problems, not only the problem of finite-time boundedness but also the problem of input-output finite-time stability is considered in this article. Using an asynchronous switching scheme, sufficient conditions are established to guarantee the event-based closed-loop systems are both finite-time bounded and input-output finite-time stable. Then, a parameter-dependent asynchronous controller is designed by solving a set of linear matrix inequalities. Finally, a numerical example is presented to show the effectiveness of the result.