Event-triggered output regulation bumpless transfer control for discrete-time switched systems under DoS

This paper studies the output regulation bumpless transfer control for event-triggered discrete-time switched systems under denial-of-service (DoS) attacks. For switched systems subject to DoS, both the sensor signal and switching signal may be blocked. To satisfy the bumpless transfer (BT) performance, we cannot use the common input zeroing method. The problem that the triggering error being attacked may not follow the triggering condition arises. Moreover, the controller mode may be asynchronous with the plant mode. Faced with the above two problems, we design an event-triggered dynamic error feedback controller and a switching law to guarantee that the output regulation problem for switched systems is solvable, and the BT performance can be satisfied. Then, corresponding sufficient conditions are proposed in the form of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the validity of our results.