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    A general approach to the eigenstructure assignment for reachability and stabilizability subspaces

    Access Status
    Fulltext not available
    Authors
    Ntogramatzidis, Lorenzo
    Padula, Fabrizio
    Date
    2017
    Type
    Journal Article
    
    Metadata
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    Citation
    Ntogramatzidis, L. and Padula, F. 2017. A general approach to the eigenstructure assignment for reachability and stabilizability subspaces. Systems and Control Letters. 106: pp. 58-67.
    Source Title
    Systems and Control Letters
    DOI
    10.1016/j.sysconle.2017.06.003
    ISSN
    0167-6911
    School
    Department of Mathematics and Statistics
    Funding and Sponsorship
    http://purl.org/au-research/grants/arc/DP160104994
    URI
    http://hdl.handle.net/20.500.11937/55957
    Collection
    • Curtin Research Publications
    Abstract

    This paper is concerned with the problem of determining basis matrices for the supremal output-nulling, reachability and stabilizability subspaces, and the simultaneous computation of the associated friends that place the assignable closed-loop eigenvalues at desired locations. Our aim is to show that the Moore–Laub algorithm in Moore and Laub (1978) for the computation of these subspaces was stated under unnecessary restrictive assumptions. We prove the same result under virtually no system-theoretic hypotheses. This provides a theoretical foundation to a range of recent geometric techniques that are more efficient and robust, and as general as the standard ones based on the computation of sequences of subspaces.

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