Title

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

Authors

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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