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

TL;DR

This paper introduces a novel event-triggered finite-time control method for high-order systems using an inverse-optimal implicit Lyapunov function, ensuring stability without Zeno behavior and extending to multi-agent consensus scenarios.

Contribution

It presents a new ILF construction via inverse optimal problem and designs an event-triggering mechanism guaranteeing finite-time stability and Zeno-free operation.

Findings

Ensures global finite-time stability of the system.

Eliminates Zeno phenomenon in event-triggered control.

Extends control strategy to multi-agent consensus.

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.