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    Arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form with minimum gain

    200656_200656.pdf (82.57Kb)
    Access Status
    Open access
    Authors
    Schmid, R.
    Nguyen, T.
    Ntogramatzidis, Lorenzo
    Date
    2014
    Type
    Conference Paper
    
    Metadata
    Show full item record
    Citation
    Schmid, R. and Nguyen, T. and Ntogramatzidis, L. 2014. Arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form with minimum gain, in Proceedings of the American Control Conference (ACC), Jun 4-6 2014, pp. 5663-5668. Portland, Oregon, USA: Institute of Electrical and Electronics Engineers Inc.
    Source Title
    Proceedings of the American Control Conference
    Source Conference
    2014 American Control Conference (ACC)
    Additional URLs
    http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6858688
    School
    Department of Mathematics and Statistics
    Remarks

    NOTICE: This is the author’s version of a work in which 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.

    URI
    http://hdl.handle.net/20.500.11937/25262
    Collection
    • Curtin Research Publications
    Abstract

    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 the pole-placing feedback matrix that can deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. This parametric formula is then employed to introduce an unconstrained nonlinear optimisation algorithm to obtain a feedback matrix that delivers the desired pole placement with minimum gain.

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