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Theory and Implementation of Distributed-Order Element Networks

[+] Author Affiliations
Yan Li

Shandong University, Jinan, Shandong, China

YangQuan Chen

Utah State University, Logan, UT

Paper No. DETC2011-48063, pp. 361-367; 7 pages
doi:10.1115/DETC2011-48063
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

In this paper, the distributed-order capacitor is discussed in both theoretical and physical ways. The distributed-order element networks are constructed by using the distributed-order capacitors and other electric elements. The impulse responses and the asymptotic properties of two typical distributed-order element networks are derived by using the complex path integral, in which all the results are verified by the NILT method. Based on the derived analytical impulse responses, we present a technique to perform the discretization of the above distributed-order element networks. A number of illustrated figures are presented to validate the concepts.

Copyright © 2011 by ASME
Topics: Networks

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