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    The generalised discrete algebraic Riccati equation arising in LQ optimal control problems: Part I

    190413_190413.pdf (92.06Kb)
    Access Status
    Open access
    Authors
    Ferrante, A.
    Ntogramatzidis, Lorenzo
    Date
    2012
    Type
    Conference Paper
    
    Metadata
    Show full item record
    Citation
    Ferrante, Augusto and Ntogramatzidis, Lorenzo. 2012. The generalised discrete algebraic Riccati equation arising in LQ optimal control problems: Part I, in Proceedings of the 2012 IEEE 51st Annual Conference on Decision and Control, Dec 10-13 2012, pp. 6394-6399. Maui, Hawaii: IEEE.
    Source Title
    Proceedings of the 51st Conference on Decision and Control (CDC 12)
    Source Conference
    51st IEEE Conference on Decision and Control
    DOI
    10.1109/CDC.2012.6426833
    ISBN
    978-1-4673-2066-5
    Remarks

    © 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

    URI
    http://hdl.handle.net/20.500.11937/3640
    Collection
    • Curtin Research Publications
    Abstract

    A geometric analysis is used to study the relationship existing between the solutions of the generalised Riccati equation arising from the classic infinite-horizon linear quadratic (LQ) control problem and the output-nulling and reachability subspaces of the underlying system. This analysis reveals the presence of a subspace that plays a crucial role in the solution of the related optimal control problem.

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