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    A new approach to the chap LQ regulator exploiting the geometric properties of the Hamiltonian system

    200586_200586.pdf (232.6Kb)
    Access Status
    Open access
    Authors
    Prattichizzo, D.
    Ntogramatzidis, Lorenzo
    Marro, G.
    Date
    2008
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Domenico, P. and Ntogramatzidis, L. and Marro, G. 2008. A new approach to the cheap LQ regulator exploiting the geometric properties of the Hamiltonian system. Automatica. 44 (11): pp. 2834-2839.
    Source Title
    Automatica
    DOI
    10.1016/j.automatica.2008.02.009
    ISSN
    0005-1098
    Remarks

    NOTICE: This is the author’s version of a work that was accepted for publication in 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, Vol. 44, Issue 1. (2008). 10.1016/j.automatica.2008.02.009

    URI
    http://hdl.handle.net/20.500.11937/2947
    Collection
    • Curtin Research Publications
    Abstract

    The cheap LQ regulator is reinterpreted as an output nulling problem which is a basic problem of the geometric control theory. In fact, solving the LQ regulator problem is equivalent to keep the output of the related Hamiltonian system identically zero. The solution lies on a controlled invariant subspace whose dimension is characterized in terms of the minimal conditioned invariant of the original system, and the optimal feedback gain is computed as the friend matrix of the resolving subspace. This study yields a new computational framework for the cheap LQ regulator, relying only on the very basic and simple tools of the geometric approach, namely the algorithms for controlled and conditioned invariant subspaces and invariant zeros.

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