Exponential Stabilization of Delayed Switched Systems: A Discrete Dynamic Event-Triggered Scheme

In this article, the exponential stabilization (ES) of delayed switched linear systems with asynchronous switching is settled via discrete dynamic event-triggered (DDET) control. First, an observer-based DDET scheme with a prescribed constant upper bound is devised. The DDET scheme can avoid the Zeno behavior directly and reduce the communication burden immensely. And the prescribed constant upper bound for the trigger interval can prevent the system performance from deteriorating. Under the framework of the DDET scheme, the situation of no system switching or multiple system switching over a trigger interval is considered, and a unified closed-looped system (CLS) which incorporates the above two situations is established. Then, by constructing a series of multiple Lyapunov functionals, the exponential stability of the unified CLS is studied based on the average dwell-time (ADT) method. Moreover, a design procedure for the feedback gain is provided. Finally, a simulation example is given to illustrate the effectiveness and superiority of the DDET scheme and the obtained main results.