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    A unified method for optimal arbitrary pole placement

    199965_199965.pdf (115.9Kb)
    Access Status
    Open access
    Authors
    Schmid, R.
    Ntogramatzidis, Lorenzo
    Nguyen, T.
    Pandey, A.
    Date
    2014
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Schmid, R. and Ntogramatzidis, L. and Nguyen, T. and Pandey, A. 2014. A unified method for optimal arbitrary pole placement. Automatica. 50 (8): pp. 2150-2154.
    Source Title
    Automatica
    DOI
    10.1016/j.automatica.2014.06.006
    ISSN
    0005-1098
    School
    Department of Mathematics and Statistics
    Remarks

    This is the author’s version of a work that was accepted for publication in the Journal, Automatica. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Automatica, Volume 50, Issue 8, August 2014, Pages 2150–2154. http://doi.org/10.1016/j.automatica.2014.06.006

    URI
    http://hdl.handle.net/20.500.11937/17653
    Collection
    • Curtin Research Publications
    Abstract

    We consider the classic problem of pole placement by state feedback. We offer an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing feedback matrix that can deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. This parametric formula is then exploited to introduce an unconstrained nonlinear optimisation algorithm to obtain a feedback matrix that delivers the desired pole placement with optimal robustness and minimum gain. Lastly we compare the performance of our method against several others from the recent literature.

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    • Arbitrary pole placement by state feedback with minimum gain
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    • Robust repeated pole placement
      Schmid, R.; Ntogramatzidis, Lorenzo; Nguyen, T.; Pandey, A. (2013)
      We consider the classic problem of pole placement by state feedback. Recently [1] offered an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing gain matrix to deliver any set of ...
    • Arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form with minimum gain
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      We consider the classic problem of pole placement by state feedback. We revisit the well-known eigenstructure assignment algorithm of Kautsky, Nichols and van Dooren [1] and extend it to obtain a novel parametric form for ...
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