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    A structural approach to state-to-output decoupling

    Access Status
    Fulltext not available
    Authors
    Garone, E.
    Ntogramatzidis, Lorenzo
    Padula, Fabrizio
    Date
    2018
    Type
    Journal Article
    
    Metadata
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    Citation
    Garone, E. and Ntogramatzidis, L. and Padula, F. 2018. A structural approach to state-to-output decoupling. SIAM Journal on Control and Optimization. 56 (5): pp. 3816-3847.
    Source Title
    SIAM Journal on Control and Optimization
    DOI
    10.1137/16M1105931
    ISSN
    0363-0129
    School
    School of Electrical Engineering, Computing and Mathematical Science (EECMS)
    Funding and Sponsorship
    http://purl.org/au-research/grants/arc/DP160104994
    URI
    http://hdl.handle.net/20.500.11937/72203
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we address a general eigenstructure assignment problem where the objective is to distribute the closed-loop modes over the components of the system outputs in such a way that if a certain mode appears in a given output, it is unobservable from any of the other output components. By combining classical geometric control results with the theory of combinatorics, we provide necessary and sufficient conditions for the solvability of this problem, herein referred to as state-to-output decoupling, under very mild assumptions. We propose solvability conditions expressed in terms of the dimensions of suitably defined controlled invariant subspaces of the system. In this way, the solvability of the problem can be evaluated a priori, in the sense that it is given in terms of the problem/system data. The proposed approach is constructive, so that when a controller that solves the problem indeed exists, it can be computed by using the machinery developed in this paper.

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