Feedback time delay as a stabilizing tool in trajectory tracking, analysis and experiments

Nejat Olgac*, Rifat Sipahi, Ali Fuat Ergenc

*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

A trajectory-tracking problem is considered, represented by linear time invariant (LTI) dynamics of the error. Interesting complexity appears, both analytically and experimentally, when the feedback line is affected by a time delay. We analyze first, the influence of the delay on the system stability and then validate the findings via experiments and numerical simulations. In this effort the system dynamics and the control law are all kept fixed while the only varying parameter is taken to be the feedback time delay, τ. The analysis is conducted utilizing a recent framework of the authors, "cluster treatment of characteristic roots (CTCR)". We obtain the complete stability outlook of the system in the domain of τ and observe an interesting property: The feedback delay may be utilized as a stabilizing tool within the control. That is, when properly selected it may improve the quality of control. We validate these observations via an experimental study and a dynamic simulation work. Ultimately we propose a unique and interesting procedure to use the time delay as a stabilizing agent as well as a tool to enhance the control performance.

Original languageEnglish
Title of host publicationProceedings of the 2004 American Control Conference (AAC)
Pages5443-5448
Number of pages6
DOIs
Publication statusPublished - 2004
Externally publishedYes
EventProceedings of the 2004 American Control Conference (AAC) - Boston, MA, United States
Duration: 30 Jun 20042 Jul 2004

Publication series

NameProceedings of the American Control Conference
Volume6
ISSN (Print)0743-1619

Conference

ConferenceProceedings of the 2004 American Control Conference (AAC)
Country/TerritoryUnited States
CityBoston, MA
Period30/06/042/07/04

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