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    H8 control of fractional linear systems

    Access Status
    Fulltext not available
    Authors
    Padula, Fabrizio
    Alcántara, S.
    Vilanova, R.
    Visioli, A.
    Date
    2013
    Type
    Journal Article
    
    Metadata
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    Citation
    Padula, F. and Alc�ntara, S. and Vilanova, R. and Visioli, A. 2013. H8 control of fractional linear systems. Automatica. 49 (7): pp. 2276-2280.
    Source Title
    Automatica
    DOI
    10.1016/j.automatica.2013.04.012
    ISSN
    0005-1098
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/52600
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, the standard H8 control problem for continuous-time fractional linear time-invariant single-input-single-output systems is solved. The adopted approach consists of extending to the fractional case the procedure followed within the classical solution for the integer case. According to the classical route, we first consider the generalization to fractional systems of the standard Youla parameterization of all the stabilizing controllers. The H8 optimal controller is then found among the class of stabilizing controllers, recasting the control problem into a model-matching one. The results obtained naturally extend well-established results to a fractional setting, including both the commensurate and noncommensurate case, thus providing a framework where H8 design can be recast along the well-known and fruitful lines of the integer case. A worked-through example is discussed in detail to illustrate the design procedure. © 2013 Published by Elsevier Ltd.

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