In a vibration isolation context, fractional derivative can be used to design suspensions which allow to obtain similar performances in spite of parameters uncertainties. This paper presents the synthesis and the achievement of a CRONE suspension. A CRONE suspension is synthesised using the CRONE control methodology. Its transfer function is a limited bandwidth fractional differentiator. After the formulation of vibration isolation problems as control law synthesis problems, a method to determine the technological parameters of a CRONE suspension is proposed and is applied to a CRONE hydraulic test bench. A parallel arrangement of dissipative and capacitive components and a gamma arrangement are compared. They lead to the same unusual performances: the stability degree robustness and the rapidity robustness.
- Design Engineering Division and Computers and Information in Engineering Division
Synthesis of a Limited-Bandwidth Fractional Differentiator Made in Hydropneumatic Technology
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Serrier, P, Moreau, X, & Oustaloup, A. "Synthesis of a Limited-Bandwidth Fractional Differentiator Made in Hydropneumatic Technology." Proceedings of the ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C. Long Beach, California, USA. September 24–28, 2005. pp. 1621-1629. ASME. https://doi.org/10.1115/DETC2005-85230
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