Robust H∞ control for uncertain nonlinear active magnetic bearing systems via Takagi-Sugeno fuzzy models

In this paper, a systematic procedure to design the robust H ∞ 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 s...

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Bibliographic Details
Published in:International journal of control, automation, and systems automation, and systems, 2010-06, Vol.8 (3), p.636-646
Main Authors: Lee, Dong Hwan, Park, Jin Bae, Joo, Young Hoon, Lin, Kuo Chi, Ham, Chan Ho
Format: Article
Language:English
Subjects:
Control
Engineering
Mechatronics
Regular Papers
Robotics
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Summary:In this paper, a systematic procedure to design the robust H ∞ 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 H ∞ 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.
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-010-0317-2