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A truncated prediction approach to stabilization of linear systems with long time-varying input delay

  • University of Virginia

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

Abstract

This paper studies the problem of stabilizing a linear system with long time-varying delay in the input. Under the assumption that the open-loop system is not exponentially unstable and stabilizable, a finite dimensional static time-varying linear state feedback controller is obtained by truncating the prediction based controller and by adopting the parametric Lyapunov equation based low gain feedback. As long as the time-varying delay is exactly known and bounded, explicit condition is provided to guarantee the stability of the closed-loop system. It is also shown that the proposed controller achieves semi-global stabilization of the system if its actuator is also subject to saturation. Numerical examples show the effectiveness of the proposed approach.

Original languageEnglish
Title of host publication2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4146-4151
Number of pages6
ISBN (Print)9781612848006
DOIs
StatePublished - 2011
Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
Duration: 12 Dec 201115 Dec 2011

Publication series

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

Conference

Conference2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/TerritoryUnited States
CityOrlando, FL
Period12/12/1115/12/11

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