Indirect field oriented control of induction motors is robustly globally stable

Paul de Wit, Romeo Ortega, Iven Mareels

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    10 Citations (Scopus)
    137 Downloads (Pure)

    Abstract

    For induction motors indirect field oriented control is a simple and highly reliable scheme which has become an industry standard. We have previously shown that, in speed regulation tasks with constant load torque and current fed machines, indirect field oriented control is globally asymptotically stable provided the motor rotor resistance is exactly known. It is well known that this parameter is subject to significant changes during the machine operation, hence the question of the robustness of this stability result remained to be established. In this paper we provide some answers to this question. First, we give necessary and sufficient conditions for uniqueness of the equilibrium point of the (nonlinear) closed loop, which interestingly enough allow for a 200% error in the rotor resistance estimate. Then, we give conditions on the motor and controller parameters, and the speed and rotor flux norm reference values that insure either global boundedness of all solutions, or (global or local) asymptotic stability or instability of the equilibrium. The analysis is carried out using classical Lyapunov stability theory and some basic input-output theory
    Original languageEnglish
    Title of host publicationProceedings of the 34th conference on Decision and Control - IEEE Control systems society
    Place of PublicationPiscataway, NJ, USA
    PublisherIEEE
    Pages2139-2144
    Volume3
    ISBN (Print)0-7803-2685-7
    DOIs
    Publication statusPublished - 14 Feb 1995
    Event34th IEEE Conference on Decision and Control, CDC 1995 - New Orleans, United States
    Duration: 13 Dec 199515 Dec 1995
    Conference number: 34

    Publication series

    NameProceedings IEEE Conference on Decision and Control
    PublisherIEEE
    Volume1995
    ISSN (Print)0191-2216

    Other

    Other34th IEEE Conference on Decision and Control, CDC 1995
    Abbreviated titleCDC
    CountryUnited States
    CityNew Orleans
    Period13/12/9515/12/95

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