Dynamic Event-triggered H∞ Control for Singularly Perturbed Switched Systems Under Persistent Dwell-time

This paper is concerned with the dynamic event-triggered H-infinity control issue of singularly perturbed switched systems, in which a persistent dwell-time switching regularity is embraced. The dynamic event-triggered mechanism is introduced to reduce some unnecessary data transmitted in the communication network so as to that the system can maintain the desired performance under better resource efficiency. Under this communication mechanism, a singular perturbation parameter independent criterion is derived to guarantee the globally uniform exponential stability with an H-infinity performance for the considered persistent dwell-time switched singularly perturbed systems. Based on the criterion, a method is presented for calculating the gains of the desired controller. Finally, a numerical example is provided to verify the rationality and validity of the proposed method.

Automated summary

This paper addresses the issue of dynamic event-triggered H-infinity control for singularly perturbed switched systems with a persistent dwell-time switching regularity. The dynamic event-triggered mechanism is introduced to reduce unnecessary data transmission, allowing the system to maintain desired performance with better resource efficiency. A criterion that is independent of the singular perturbation parameter is derived to ensure globally uniform exponential stability with H-infinity performance for the persistent dwell-time switched singularly perturbed systems. A method for calculating the gains of the desired controller is presented based on this criterion. A numerical example is provided to demonstrate the rationality and validity of the proposed method.