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Nonsmooth control of time-delay nonlinear systems by dynamic state feedback

  • Xu Zhang
  • , Wei Lin*
  • , Yan Lin
  • *Corresponding author for this work
  • Case Western Reserve University
  • Harbin Institute of Technology
  • Beihang University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We study the problem of global state feedback control for a class of time-delay uncertain systems. Under mild regularity conditions on the system nonlinearities involving time delay, a delay-independent, non-smooth dynamic state compensator is constructed by developing a dynamic gain based design method. Using appropriate Lyapunov-Krasovskii functionals, we prove that all the states of the time-delay nonlinear system can be regulated to the origin while maintaining boundedness of the closed-loop system. As a byproduct of this development, adaptive regulation of the same class of nonlinearly parameterized systems with time-delay is also shown to be possible, via a similar Lyapunov-Krasovskii design method. Two examples are presented to validate the effectiveness of the proposed non-smooth feedback controllers.

Original languageEnglish
Title of host publication54rd IEEE Conference on Decision and Control,CDC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages7715-7722
Number of pages8
ISBN (Electronic)9781479978861
DOIs
StatePublished - 8 Feb 2015
Event54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
Duration: 15 Dec 201518 Dec 2015

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference54th IEEE Conference on Decision and Control, CDC 2015
Country/TerritoryJapan
CityOsaka
Period15/12/1518/12/15

Keywords

  • Adaptive control
  • Closed loop systems
  • Delays
  • Nonlinear dynamical systems
  • State feedback
  • Uncertainty

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