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Complete parametric approach for eigenstructure assignment in second-order systems using displacement-plus-acceleration feedback

  • Dake Gu*
  • , Dejiang Zhao
  • , Yindong Liu
  • , Yanming Fu
  • *Corresponding author for this work
  • Northeast Electric Power University

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

Abstract

This paper proposes a complete parametric approach for eigenstructure assignment in second-order system Mq+Dq+kq=cu using the displacement-plus-acceleration feedback controller. The expressions of closed-loop eigenvector matrix and feedback gains are in direct closed forms in terms of the closed-loop eigenvalues and a group parameter vectors, which represents the degree of design freedom. The main advantage of the proposed method is solved directly in matrix second-order framework, without transformation into the first-order form, and the numerical stability is better because it used only right coprime factorization and simple matrix transformation. The proposed algorithm is simple and does not contain 'go back' procedures. Finally, computational results show its effect and simplicity.

Original languageEnglish
Title of host publication2016 22nd International Conference on Automation and Computing, ICAC 2016
Subtitle of host publicationTackling the New Challenges in Automation and Computing
EditorsJing Wang, Zhijie Xu
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages183-187
Number of pages5
ISBN (Electronic)9781862181311
DOIs
StatePublished - 20 Oct 2016
Event22nd International Conference on Automation and Computing, ICAC 2016 - Colchester, United Kingdom
Duration: 7 Sep 20168 Sep 2016

Publication series

Name2016 22nd International Conference on Automation and Computing, ICAC 2016: Tackling the New Challenges in Automation and Computing

Conference

Conference22nd International Conference on Automation and Computing, ICAC 2016
Country/TerritoryUnited Kingdom
CityColchester
Period7/09/168/09/16

Keywords

  • Displacement-plus-acceleration feedback
  • Eigenstructure assignment
  • Matrix second-order linear system
  • Parametric method

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