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An Experimental Validation of the Time-Varying Initialization Response in Fractional-Order Systems

[+] Author Affiliations
Tom Gambone, Tom T. Hartley, Jay L. Adams, Robert J. Veillette

University of Akron, Akron, OH

Carl F. Lorenzo

NASA Glenn Research Center, Cleveland, OH

Paper No. DETC2011-47250, pp. 115-122; 8 pages
doi:10.1115/DETC2011-47250
From:
  • ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B
  • Washington, DC, USA, August 28–31, 2011
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5480-8
  • Copyright © 2011 by ASME

abstract

This paper provides an experimental validation of the required time-varying initialization response for fractional-order systems. The experiment considers thermal conduction in a long aluminum rod, whose thermal impedance can be approximated as a half-order integral. Experimental results using seven different history functions are compared with theoretical predictions. The experimental results compare well with the expected theoretical predictions. Deviations from the theoretical predictions are discussed.

Copyright © 2011 by ASME

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