Bumpless Transfer Control for Switched Delayed Systems with Guaranteed Switching Frequency

This research concerns the bumpless transfer control problem for a class of switched systems with time-varying delays. For eliminating the frequent switching and Zeno problems existing in the conventional state-dependent switching strategy for switched delayed systems, the combined switching strategy associated with a time-dependent Lyapunov-Krasovskii functional is introduced. Then, the corresponding sufficient conditions are derived for the existence of the controller satisfying a bumpless transfer constraint, under which the addressed switched delayed systems are asymptotically stable with a guaranteed switching frequency. Also, all subsystems of the switched delayed systems can be unstabilizable. A numerical example is finally provided to validate the availability of the attained results.