H∞ control of active magnetic suspension

Rafal P. Jastrzebski; Katja M. Hynynen; Alexander Smirnov

doi:10.1016/j.ymssp.2009.10.008

H_∞ control of active magnetic suspension

Rafal P. Jastrzebski^*, Katja M. Hynynen, Alexander Smirnov

^*Corresponding author for this work

Not published at VTT

Lappeenranta-Lahti University of Technology LUT

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

53 Citations (Scopus)

Abstract

A robust control of an active magnetic suspension requires an accurate plant model and proper model uncertainties. Moreover, the selection of control design performance weighting functions is not straightforward. In this paper, the design of a centralized H_∞ controller of an active magnetic suspension is considered. Two design approaches are examined: an H_∞ loop-shaping control design procedure and a signal-based H_∞ control. The tuning of the design performance functions is carried out applying a genetic algorithm. The robust stability of the gain-scheduled H_∞ controller is verified in the presence of real parametric and non-parametric frequency-dependent uncertainties. Accurate models of the system and its uncertainties can be obtained using engineering models and frequency response functions of the test-rig. Finally, simulations and experimental results confirm the effectiveness of the signal-based H_∞ approach.

Original language	English
Pages (from-to)	995-1006
Journal	Mechanical Systems and Signal Processing
Volume	24
Issue number	4
DOIs	https://doi.org/10.1016/j.ymssp.2009.10.008
Publication status	Published - 1 May 2010
MoE publication type	A1 Journal article-refereed

Keywords

Centralized control
H control
Magnetic levitation
Stability

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10.1016/j.ymssp.2009.10.008

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title = "H∞ control of active magnetic suspension",

abstract = "A robust control of an active magnetic suspension requires an accurate plant model and proper model uncertainties. Moreover, the selection of control design performance weighting functions is not straightforward. In this paper, the design of a centralized H∞ controller of an active magnetic suspension is considered. Two design approaches are examined: an H∞ loop-shaping control design procedure and a signal-based H∞ control. The tuning of the design performance functions is carried out applying a genetic algorithm. The robust stability of the gain-scheduled H∞ controller is verified in the presence of real parametric and non-parametric frequency-dependent uncertainties. Accurate models of the system and its uncertainties can be obtained using engineering models and frequency response functions of the test-rig. Finally, simulations and experimental results confirm the effectiveness of the signal-based H∞ approach.",

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author = "Jastrzebski, {Rafal P.} and Hynynen, {Katja M.} and Alexander Smirnov",

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T1 - H∞ control of active magnetic suspension

AU - Jastrzebski, Rafal P.

AU - Hynynen, Katja M.

AU - Smirnov, Alexander

PY - 2010/5/1

Y1 - 2010/5/1

N2 - A robust control of an active magnetic suspension requires an accurate plant model and proper model uncertainties. Moreover, the selection of control design performance weighting functions is not straightforward. In this paper, the design of a centralized H∞ controller of an active magnetic suspension is considered. Two design approaches are examined: an H∞ loop-shaping control design procedure and a signal-based H∞ control. The tuning of the design performance functions is carried out applying a genetic algorithm. The robust stability of the gain-scheduled H∞ controller is verified in the presence of real parametric and non-parametric frequency-dependent uncertainties. Accurate models of the system and its uncertainties can be obtained using engineering models and frequency response functions of the test-rig. Finally, simulations and experimental results confirm the effectiveness of the signal-based H∞ approach.

AB - A robust control of an active magnetic suspension requires an accurate plant model and proper model uncertainties. Moreover, the selection of control design performance weighting functions is not straightforward. In this paper, the design of a centralized H∞ controller of an active magnetic suspension is considered. Two design approaches are examined: an H∞ loop-shaping control design procedure and a signal-based H∞ control. The tuning of the design performance functions is carried out applying a genetic algorithm. The robust stability of the gain-scheduled H∞ controller is verified in the presence of real parametric and non-parametric frequency-dependent uncertainties. Accurate models of the system and its uncertainties can be obtained using engineering models and frequency response functions of the test-rig. Finally, simulations and experimental results confirm the effectiveness of the signal-based H∞ approach.

KW - Centralized control

KW - H control

KW - Magnetic levitation

KW - Stability

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DO - 10.1016/j.ymssp.2009.10.008

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JO - Mechanical Systems and Signal Processing

JF - Mechanical Systems and Signal Processing

IS - 4

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H_∞ control of active magnetic suspension

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Keywords

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