English

Event-triggered Finite-time Control Using Inverse-optimal Implicit Lyapunov Function

Optimization and Control 2022-11-10 v2 Systems and Control Systems and Control

Abstract

This work deals with the event-triggered finite-time control for high-order systems based on an implicit Lyapunov function (ILF). With the construction of an inverse optimal problem, a novel expression of ILF is obtained. By designing the event-triggering mechanism elaborately, it is guaranteed that the trivial solution of the closed-loop system is globally finite-time stable and there exists no Zeno phenomenon. Extensions to the scenario with a multi-agent system are studied where a finite-time tracking control drives all the agents to reach a consensus. The obtained theoretical results are supported by numerical simulations.

Keywords

Cite

@article{arxiv.2208.08607,
  title  = {Event-triggered Finite-time Control Using Inverse-optimal Implicit Lyapunov Function},
  author = {Peng Wang and Shuzhi Sam Ge and Xiaobing Zhang},
  journal= {arXiv preprint arXiv:2208.08607},
  year   = {2022}
}

Comments

To be revised and corrected

R2 v1 2026-06-25T01:47:10.632Z