Predictor feedback and integrator backstepping of linear systems with distributed unbounded delays

Xiang Xu; Lu Liu; Miroslav Krstic; Gang Feng

doi:10.1002/rnc.5810

Author(s)

Xiang Xu
Lu Liu
Miroslav Krstic
Gang Feng

Related Research Unit(s)

Department of Biomedical Engineering

Detail(s)

Original language	English
Pages (from-to)	3281-3291
Number of pages	11
Journal / Publication	International Journal of Robust and Nonlinear Control
Volume	32
Issue number	6
Online published	29 Sept 2021
Publication status	Published - Apr 2022

Link(s)

DOI	DOI https://doi.org/10.1002/rnc.5810 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85115829901&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(ff90548e-60f3-4ade-9c29-7c19743f4d64).html

Abstract

This article considers the control problem of linear strict-feedback systems with an infinite-delayed integrator. The integrator backstepping design approach is used to construct a predictor feedback controller. By applying the stability theorem developed in our previous work for systems with unbounded delays, exponential stability of the resulting closed loop system is proved. This article shows that the predictor feedback together with the backstepping design is effective on solving some control problems of systems with unbounded delays. Simulation examples are provided to illustrate the effectiveness of our controller.