A matrix technique for dominant pole placement of discrete-time time-delayed systems

Ali Fuat Ergenc*

*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

A matrix method is introduced for determination of robust-stability zones of the general linear time invariant discrete-time dynamics with large delays against parametric uncertainties. The technique employs Kronecker Product and unique properties of palindrome polynomials. These polynomials are subset of self-inversive polynomials which exert advanta-geous tools for examination of the distribution of its zeros. The main motivation in this paper is to develop a practical tool for determination of robust stability zones against parametric uncertainties and dominant pole assignment in discrete-time domain. A sufficient condition for robust stability and dominant pole assignment is presented. The procedure for the solution is demonstrated via some example case studies.

Original languageEnglish
Title of host publicationBook of Abstracts - 10th IFAC Workshop on Time Delay Systems, TDS-2012
PublisherIFAC Secretariat
Pages167-172
Number of pages6
EditionPART 1
ISBN (Print)9783902823045
DOIs
Publication statusPublished - 2012
Event10th IFAC Workshop on Time Delay Systems, TDS-2012 - Boston, MA, United States
Duration: 22 Jun 201224 Jun 2012

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume10
ISSN (Print)1474-6670

Conference

Conference10th IFAC Workshop on Time Delay Systems, TDS-2012
Country/TerritoryUnited States
CityBoston, MA
Period22/06/1224/06/12

Funding

Author would like to thank ITU Scientific Research Unit for the international link project fund.

FundersFunder number
ITU Scientific Research Unit

    Keywords

    • Discrete-time systems
    • Dominant pole assignment
    • Kronecker product
    • Robust stability
    • Time-delayed systems

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