This paper deals with the design and simulation of continuous-time models with fractional differentiation orders. Two new methods are proposed. The first is an improvement of the approximation of the fractional integration operator using recursive poles and zeros proposed by Oustaloup (1995) and Lin (2001). The second improves the simulation schema by using a modal representation.
- Design Engineering Division and Computers and Information in Engineering Division
Numerical Simulations of Fractional Systems
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Aoun, M, Malti, R, Levron, F, & Oustaloup, A. "Numerical Simulations of Fractional Systems." Proceedings of the ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C. Chicago, Illinois, USA. September 2–6, 2003. pp. 745-752. ASME. https://doi.org/10.1115/DETC2003/VIB-48389
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