Event-triggered finite-time guaranteed cost control of asynchronous switched systems under the round-robin protocol via an AED-ADT method

This paper focuses on addressing the problems of finite-time boundedness and guaranteed cost control in switched systems under asynchronous switching. To reduce redundant information transmission and alleviate data congestion of sensor nodes, two schemes are proposed: the event-triggered scheme (ETS) and the round-robin protocol (RRP). These schemes are designed to ensure that the system exhibits good dynamic characteristics while reducing communication resources. In the field of finite-time control, a switching signal is designed using the admissible edge-dependent average dwell time (AED-ADT) method. This method involves a slow AED-ADT switching and a fast AED-ADT switching, which are respectively suitable for finite-time stable and finite-time unstable situations of the controlled system within the asynchronous switching interval. By constructing a double-mode dependent Lyapunov function, the finite-time bounded criterion and the controller gain of the switched systems are obtained. Finally, the validity of the proposed results is showcased by implementing a buck-boost voltage circuit model.