Stabilization by Means of Approximate Predictors for Systems with Delayed Input

TL;DR

This paper presents a method for stabilizing nonlinear systems with delayed input using approximate predictors, providing systematic construction procedures and demonstrating effectiveness through examples.

Contribution

It introduces a systematic way to construct approximate predictors for stabilizing nonlinear systems with input delays, expanding control design options.

Findings

Effective stabilization of delayed systems demonstrated

Systematic construction procedure for approximate predictors

Control strategy validated with illustrative examples

Abstract

Sufficient conditions for global stabilization of nonlinear systems with delayed input by means of approximate predictors are presented. An approximate predictor is a mapping which approximates the exact values of the stabilizing input for the corresponding system with no delay. A systematic procedure for the construction of approximate predictors is provided for globally Lipschitz systems. The resulting stabilizing feedback can be implemented by means of a dynamic distributed delay feedback law. Illustrating examples show the efficiency of the proposed control strategy.