Reachable set estimation for switched linear systems with state-dependent switching and bumpless transfer based event-triggered control

This article focuses on the reachable set estimation and the state-feedback controller design for switched linear systems with a state-dependent switching and event-triggered control. First, the event-triggered bumpless transfer performance is given. The reachable set of the switched system is estimated under the proposed bumpless transfer based event-triggered mechanism by using the multiple Lyapunov functions method. A co-design of the event-triggered mechanism, a switching law and the controller gain is provided. Second, Zeno behavior is avoided by showing the existence of a positive lower bound on the event triggered interexecution intervals. Third, we design a state-feedback controller which contains the system states in a preset ellipsoid. Finally, numerical examples are given to illustrate the effectiveness of the theoretical claims.