Stabilization of nonlinear systems using event-triggered output feedback controllers

TL;DR

This paper presents a novel event-triggered output feedback control strategy for nonlinear systems that guarantees stabilization while ensuring a minimum inter-transmission time, combining event-triggered and time-triggered control techniques.

Contribution

It introduces a new method to design output feedback event-triggered controllers that ensure stability and practical implementation by preventing Zeno behavior.

Findings

Ensures asymptotic stability of nonlinear systems with event-triggered control.

Applicable to linear time-invariant systems as a special case.

Guarantees a minimum time between transmissions to avoid Zeno behavior.

Abstract

The objective is to design output feedback event-triggered controllers to stabilize a class of nonlinear systems. One of the main difficulties of the problem is to ensure the existence of a minimum amount of time between two consecutive transmissions, which is essential in practice. We solve this issue by combining techniques from event-triggered and time-triggered control. The idea is to turn on the event-triggering mechanism only after a fixed amount of time has elapsed since the last transmission. This time is computed based on results on the stabilization of time-driven sampled-data systems. The overall strategy ensures an asymptotic stability property for the closed-loop system. The results are proved to be applicable to linear time-invariant (LTI) systems as a particular case.