Robust H-infinity Control for Uncertain Nonlinear Active Magnetic Bearing Systems via Takagi-Sugeno Fuzzy Models

    Authors

    D. H. Lee; J. B. Park; Y. H. Joo; K. C. Lin;C. H. Ham

    Comments

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    Abbreviated Journal Title

    Int. J. Control Autom. Syst.

    Keywords

    Active magnetic bearing (AMB); fuzzy controller; linear matrix; inequality (LMI); robust H-infinity performance; Takagi-Sugeno (T-S); fuzzy models; STABILITY ANALYSIS; OUTPUT-FEEDBACK; STATE-FEEDBACK; LMI; DESIGN; ALGORITHMS; ROTOR; ILMI; Automation & Control Systems

    Abstract

    In this paper, a systematic procedure to design the robust It, fuzzy controller for a nonlinear active magnetic bearing (AMB) system affected by time-varying parametric uncertainties is presented. First, the continuous-time Takagi-Sugeno (T-S) fuzzy model is employed to represent the nonlinear AMB system. Next, based on the obtained fuzzy model, sufficient conditions are derived in terms of linear matrix inequalities (LMIs) for robust stability and performance of the control system. The main feature of this paper is that some drawbacks existing in the previous approaches such as truncation errors and nonconvex bilinear matrix inequality (BMI) problem are eliminated by utilizing the homogeneous fuzzy model which includes no bias terms in the local state space models rather than the affine one which includes bias terms. Hence, the design method presented here will prove to be more tractable and accessible than the previous ones. Finally, numerical simulations demonstrate the effectiveness of the proposed approach.

    Journal Title

    International Journal of Control Automation and Systems

    Volume

    8

    Issue/Number

    3

    Publication Date

    1-1-2010

    Document Type

    Article

    Language

    English

    First Page

    636

    Last Page

    646

    WOS Identifier

    WOS:000278114500017

    ISSN

    1598-6446

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