Norm Based Robust-Control Of State-Constrained Discrete-Time Linear-Systems

    Authors

    M. Sznaier

    Comments

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    Abbreviated Journal Title

    IEEE Trans. Autom. Control

    Keywords

    Feedback-Control; Optimization; Stability; Design; Automation & Control Systems; Engineering, Electrical & Electronic

    Abstract

    Most realistic control problems involve some type of constraint. However, to date, all the algorithms that deal with constrained problems assume that the system is perfectly known. On the other hand, during the last decade a considerable amount of time has been spent in the robust control problem. However, in its present form, the robust control theory can address only the idealized situation of completely unconstrained problems. In this note we present a theoretical framework to analyze the stability properties of constrained discrete-time systems under the presence of uncertainty and we show that this formalism provides a unifying approach, including as a particular case the well-known technique of estimating robustness bounds from the solution of a Lyapunov equation. These results are applied to the problem of designing feedback controllers capable of stabilizing a family of systems, while at the same time satisfying state-space constraints.

    Journal Title

    Ieee Transactions on Automatic Control

    Volume

    37

    Issue/Number

    7

    Publication Date

    1-1-1992

    Document Type

    Note

    Language

    English

    First Page

    1057

    Last Page

    1062

    WOS Identifier

    WOS:A1992JE07600030

    ISSN

    0018-9286

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