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Research Papers

An Adaptive Multi-Objective Controller for Flexible Rotor and Magnetic Bearing Systems

[+] Author and Article Information
M. Necip Sahinkaya1

Department of Mechanical Engineering, University of Bath, Bath BA2 7AY, UKensmns@bath.ac.uk

Abdul-Hadi G. Abulrub

Warwick Manufacturing Group, University of Warwick, Coventry CV4 7AL, UKa.g.abulrub@warwick.ac.uk

Clifford R. Burrows

Department of Mechanical Engineering, University of Bath, Bath BA2 7AY, UKenscrb@bath.ac.uk

1

Corresponding author.

J. Dyn. Sys., Meas., Control 133(3), 031003 (Mar 23, 2011) (9 pages) doi:10.1115/1.4003421 History: Received August 21, 2008; Revised April 27, 2010; Published March 23, 2011; Online March 23, 2011

This paper considers two issues in the vibration of rotating machines, namely, control of rotor vibration and control of the forces transmitted to the base. An adaptive multi-objective method is developed to tackle these issues simultaneously using magnetic bearings. A two-stage weighting strategy is developed, involving base weightings calculated by using a singular value decomposition of the system’s receptance matrices and an adjustable single weighting parameter tuned automatically to shift the balance between the two objective functions in accordance with performance specifications. This new real-time controller does not require measurements in addition to those required for the open-loop adaptive strategy. Frequency and time domain simulations of an existing experimental rig are used to assess the effectiveness of the proposed multi-objective adaptive controller as a precursor to an experimental study.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Finite element modeling of the flexible rotor

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Figure 2

Synchronous vibration and transmitted force cost functions as a function of the rotational speed for various controller settings

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Figure 3

Effect of β on the rotor vibration and transmitted forces

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Figure 4

Base scaling ratio as a function of rotational frequency

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Figure 5

Optimum weight adjustments as a function of rotational speed for JY,ref=0.15

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Figure 6

Block diagram of the suggested multi-objective adaptive controller MO-ROLAC

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Figure 7

Time response of adaptive weight adjustment β at Ω=22 Hz for JY,ref=0.1

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Figure 8

Adaptive weight adjustment following a sudden change of unbalance at Ω=22 Hz

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Figure 9

Adaptive weight adjustment block in Fig. 6

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Figure 10

Adaptive secondary weight adjustment following a significant sudden change of unbalance at Ω=22 Hz

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