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    Geometric structure and properties of linear time invariant multivariable systems in the controller canonical form

    Access Status
    Fulltext not available
    Authors
    Kazantzidou, C.
    Ntogramatzidis, Lorenzo
    Date
    2017
    Type
    Journal Article
    
    Metadata
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    Citation
    Kazantzidou, C. and Ntogramatzidis, L. 2017. Geometric structure and properties of linear time invariant multivariable systems in the controller canonical form. IET Control Theory and Applications. 11 (1): pp. 25-37.
    Source Title
    IET Control Theory and Applications
    DOI
    10.1049/iet-cta.2016.0443
    ISSN
    1751-8644
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/52880
    Collection
    • Curtin Research Publications
    Abstract

    In this study, the authors analyse some fundamental structural properties of linear time-invariant multivariable systems in the controller canonical form and present a direct method for the computation of bases and associated friends for output-nulling, input-containing and reachability subspaces in terms of the parameters of the system and the invariant zero structure, both in the non-defective and in the defective case. Using this analysis, it is possible to express the solvability conditions of important control and estimation problems in terms of easily checkable conditions on the system matrices.

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