Research Papers

On the Influence of Structural Flexibility on Feedback Control Stability for Magnetically Suspended Vehicles

[+] Author and Article Information
Thomas E. Alberts

Aravind M. Hanasoge, Ashraf M. Omran

Aerospace Engineering Department,   Old Dominion University, Norfolk, VA 23529

Since the system considered has only two masses, this is an extreme example of noncolocation. Actual system with approximate colocation may be more forgiving.

Not necessarily the case in actual system with nonzero damping and with approximate colocation.

J. Dyn. Sys., Meas., Control 133(5), 051010 (Aug 05, 2011) (7 pages) doi:10.1115/1.4003802 History: Received January 29, 2009; Revised October 21, 2010; Published August 05, 2011; Online August 05, 2011

This paper presents a simple analysis evaluating the stability threshold for magnetically levitated flexible structures using dissipative colocated controllers. It is shown that with such a control structure, the controller that stabilizes a rigid levitated mass can also stabilize a simple flexible structure with the same overall mass and electrodynamics. Experimental and simulation results are presented to validate this conclusion.

Copyright © 2011 by American Society of Mechanical Engineers
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Figure 1

ODU maglev vehicle on guideway

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Figure 2

Levitation of a simple rigid mass

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Figure 3

U-shaped magnet and rail

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Figure 4

Current feedback loop

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Figure 5

Basic feedback structure

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Figure 6

Simple flexible structure maglev system

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Figure 7

Root locus of a PD controlled colocated system

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Figure 8

(a) Experimental set-up; (b) experimental set-up—Detail A

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Figure 9

Closed-loop time response of m1

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Figure 10

Closed-loop time response of m2

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Figure 11

Response of m2 relative to m1

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Figure 12

Model to represent guideway flexibility



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