A Set Induced Norm Approach To The Robust-Control Of Constrained Systems

    Authors

    M. Sznaier

    Comments

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    Abbreviated Journal Title

    SIAM J. Control Optim.

    Keywords

    Constrained Systems; Discrete Time Systems; Robust Design Techniques; Robust Stability; Optimization; Stability; Design; State; Automation & Control Systems; Mathematics, Applied

    Abstract

    Most realistic control problems involve both some type of time-domain constraints and model uncertainty. However, the majority of controller design procedures currently available focus only on one aspect of the problem, with only a handful of methods capable of simultaneously addressing both issues. Recently, it has been proposed to address this class of problems by using a ''constrained robustness measure,'' generated by a constraint-set induced operator norm, to assess the stability properties of a family of systems. In this paper the properties of this constrained-robustness measure are explored and the theoretical framework is extended to include control as well as state constraints. These results are applied to the problem of designing fixed-order stabilizing feedback controllers for systems subject to structured parametric model uncertainty and time-domain constraints.

    Journal Title

    Siam Journal on Control and Optimization

    Volume

    31

    Issue/Number

    3

    Publication Date

    1-1-1993

    Document Type

    Article

    Language

    English

    First Page

    733

    Last Page

    746

    WOS Identifier

    WOS:A1993KZ51600009

    ISSN

    0363-0129

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