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    Linear matrix inequalities for globally monotonic tracking control

    Access Status
    Fulltext not available
    Authors
    Garone, E.
    Ntogramatzidis, Lorenzo
    Date
    2015
    Type
    Journal Article
    
    Metadata
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    Citation
    Garone, E. and Ntogramatzidis, L. 2015. Linear matrix inequalities for globally monotonic tracking control. Automatica. 61: pp. 173-177.
    Source Title
    Automatica
    DOI
    10.1016/j.automatica.2015.08.009
    ISSN
    0005-1098
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/42727
    Collection
    • Curtin Research Publications
    Abstract

    This paper addresses the problem of achieving monotonic tracking control for any initial condition (also referred to as global monotonic tracking control). This property is shown to be equivalent to global non-overshooting as well as to global non-undershooting (i.e., non-overshooting and non-undershooting for any initial condition, respectively). The main objective of this paper is to prove that a stable system is globally monotonic if and only if all the rows of the output matrix are left eigenvectors of the space transition matrix. This property allows one to formulate the design of a controller which ensures global monotonic tracking as a convex optimization problem described by a set of Linear Matrix Inequalities (LMIs).

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