Robust Digital Implementation of Fuzzy Control for Uncertain Systems and Its Application to Active Magnetic Bearing System

    Authors

    H. C. Sung; J. B. Park; Y. H. Joo;K. C. Lin

    Comments

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    Abbreviated Journal Title

    Int. J. Control Autom. Syst.

    Keywords

    Active magnetic bearing (AMB); intelligent digital redesign (IDR); linear matrix inequalities (LMIs); Pade and inverse-Pade approximation; Takagi-Sugeno (T-S) fuzzy model; TAKAGI-SUGENOS FORM; H-INFINITY CONTROL; PARAMETRIC UNCERTAINTIES; NONLINEAR-SYSTEMS; STABILIZATION CONDITIONS; LINEAR-SYSTEMS; REDESIGN; MODELS; PADE; Automation & Control Systems

    Abstract

    In this paper, we propose the robust digital control for active magnetic bearing (AMB) systems. For achieving the robust stability, we deal with the uncertainties of the given system based on the Takagi-Sugeno (T-S) fuzzy model. Also, in order to solve the digital implementation for real plants, this paper presents a robust intelligent digital redesign (IDR) method. The term IDR involves converting an analog controller into an equivalent digital one in the sense of state-matching. The uncertainties in the plant dynamics is shown in the IDR condition by virtue of the pade and inverse-pade approximation method. Also, the robust stability property is preserved by the proposed method. The sufficient conditions for robust controller are obtained in terms of solutions to linear matrix inequalities (LMIs). Finally, simulation results for two AMB systems are demonstrated to visualize the feasibility of the proposed method.

    Journal Title

    International Journal of Control Automation and Systems

    Volume

    10

    Issue/Number

    3

    Publication Date

    1-1-2012

    Document Type

    Article

    Language

    English

    First Page

    603

    Last Page

    612

    WOS Identifier

    WOS:000304725200018

    ISSN

    1598-6446

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