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    Denominator assignment, invariants and canonical forms under dynamic feedback compensation in linear multivariable systems

    Access Status
    Fulltext not available
    Authors
    Vardulakis, A.
    Kazantzidou, Christina
    Date
    2011
    Type
    Journal Article
    
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    Citation
    Vardulakis, A. and Kazantzidou, C. 2011. Denominator assignment, invariants and canonical forms under dynamic feedback compensation in linear multivariable systems. IEEE Transactions on Automatic Control. 56 (5): pp. 1180-1185.
    Source Title
    IEEE Transactions on Automatic Control
    DOI
    10.1109/TAC.2011.2107110
    ISSN
    0018-9286
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/20573
    Collection
    • Curtin Research Publications
    Abstract

    A result orinally reported by Hammer for linear time invariant (LTI) single input-single output systems and concerning an invariant and a canonical form of the transfer function matrix of the closed loop system under dynamic feedback compensation is generalized for LTI multivariable systems. Based on this result, we characterize the class of transfer function matrices that are obtainable from an open loop transfer function matrix via the use of proper dynamic feedback compensators and show that if the closed loop transfer function matrix Pc(s) has a desired denominator polynomial matrix which satisfies a certain sufficient condition, then there exists a proper compensator giving rise to an internally stable closed loop system, whose transfer function matrix is Pc(s). © 2011 IEEE.

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