Experimental Verification on Gain Scheduled H∞ Robust Control of a Magnetic Bearing

Toru Namerikawa; Masayuki Fujita; Fumio Matsumura

doi:10.1299/jsmec.40.561

Experimental Verification on Gain Scheduled H_∞ Robust Control of a Magnetic Bearing

Toru Namerikawa, Masayuki Fujita, Fumio Matsumura

Research output: Contribution to journal › Article › peer-review

Abstract

This paper deals with the problem of gyroscopic effect and unbalance vibration of the Magnetic Bearing system. Using a gain scheduled H_∞ control with a free parameter Φ, we design a control system which attenuates the unbalance vibration, and guarantees the stability against the gyroscopic effect in specified rotational speed. Further we implement the controller and evaluate the effectiveness of the proposed approach by experiments. First, our experimental setup is explained, a mathematical model of the magnetic bearing is derived. Then, we introduce the gain scheduled H_∞ control with free parameters to a magnetic bearing control, in order to reject the disturbances caused by unbalance of the rotor, and guarantee the stability against gyroscopic effect, even if rotational speed of the rotor changes. At last, several experimental results show the effectiveness of this proposed method.

Original language	English
Pages (from-to)	561-569
Number of pages	9
Journal	JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing
Volume	40
Issue number	4
DOIs	https://doi.org/10.1299/jsmec.40.561
Publication status	Published - 1997 Dec
Externally published	Yes

Keywords

Digital Control
H Control
Magnetic Bearing
Robust Control
Vibration of Rotating Body

ASJC Scopus subject areas

Mechanical Engineering
Industrial and Manufacturing Engineering

Access to Document

10.1299/jsmec.40.561

Cite this

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title = "Experimental Verification on Gain Scheduled H∞ Robust Control of a Magnetic Bearing",

abstract = "This paper deals with the problem of gyroscopic effect and unbalance vibration of the Magnetic Bearing system. Using a gain scheduled H∞ control with a free parameter Φ, we design a control system which attenuates the unbalance vibration, and guarantees the stability against the gyroscopic effect in specified rotational speed. Further we implement the controller and evaluate the effectiveness of the proposed approach by experiments. First, our experimental setup is explained, a mathematical model of the magnetic bearing is derived. Then, we introduce the gain scheduled H∞ control with free parameters to a magnetic bearing control, in order to reject the disturbances caused by unbalance of the rotor, and guarantee the stability against gyroscopic effect, even if rotational speed of the rotor changes. At last, several experimental results show the effectiveness of this proposed method.",

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AU - Matsumura, Fumio

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N2 - This paper deals with the problem of gyroscopic effect and unbalance vibration of the Magnetic Bearing system. Using a gain scheduled H∞ control with a free parameter Φ, we design a control system which attenuates the unbalance vibration, and guarantees the stability against the gyroscopic effect in specified rotational speed. Further we implement the controller and evaluate the effectiveness of the proposed approach by experiments. First, our experimental setup is explained, a mathematical model of the magnetic bearing is derived. Then, we introduce the gain scheduled H∞ control with free parameters to a magnetic bearing control, in order to reject the disturbances caused by unbalance of the rotor, and guarantee the stability against gyroscopic effect, even if rotational speed of the rotor changes. At last, several experimental results show the effectiveness of this proposed method.

AB - This paper deals with the problem of gyroscopic effect and unbalance vibration of the Magnetic Bearing system. Using a gain scheduled H∞ control with a free parameter Φ, we design a control system which attenuates the unbalance vibration, and guarantees the stability against the gyroscopic effect in specified rotational speed. Further we implement the controller and evaluate the effectiveness of the proposed approach by experiments. First, our experimental setup is explained, a mathematical model of the magnetic bearing is derived. Then, we introduce the gain scheduled H∞ control with free parameters to a magnetic bearing control, in order to reject the disturbances caused by unbalance of the rotor, and guarantee the stability against gyroscopic effect, even if rotational speed of the rotor changes. At last, several experimental results show the effectiveness of this proposed method.

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