Dynamic periodic event-triggered control for input-to-state stability of multilayer coupled systems

Abstract

In this article, a novel dynamic periodic event-triggered control (DPE-TC) is proposed to investigate input-to-state stability (ISS) in multilayer coupled systems (MCSs). Different from the existing literature, a dynamic term is introduced to event-triggered control (E-TC), which can reduce the number of event triggers as the interexecution times are prolonged on the whole. Moreover, a periodic sampling is adopted, from where the Zeno phenomenon is naturally avoided. Based on the Lyapunov method and graph theory, ISS for coupled systems under the DPE-TC is established. Meanwhile, a dynamic event-triggered control with dwell-time is proposed, and a corollary to ensure the ISS of MCSs is also provided. Eventually, results are applied to second-order oscillators and a numerical example is given to prove the validity of the theoretical results.

Keywords:

• Multilayer coupled systems
• input-to-state stability
• event-triggered control
• dynamic periodic event-triggered control

Acknowledgments

The authors really appreciate the valuable comments of the editors and reviewers.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the Natural Science Foundation of Shandong Province No. ZR2021MF032.