Moreau, X.; Ramus-Serment, C.; Oustaloup, A. Fractional differentiation in passive vibration control. (English) Zbl 1019.74028 Nonlinear Dyn. 29, No. 1-4, 343-362 (2002). Summary: Using a single-degree-of-freedom model to illustrate the concept of vibration isolation, we propose a method to transform the design for suspension into a design for robust controller. Fractional differentiation is used to model viscoelastic behaviour of suspension. The use of fractional differentiation not only permits optimisation of just four suspension parameters, showing the ‘compactness’ of the fractional derivative operator, but also leads to robustness of suspension performance to uncertainty of the sprung mass. As an example, an engine suspension is studied. Cited in 12 Documents MSC: 74M05 Control, switches and devices (“smart materials”) in solid mechanics 74H45 Vibrations in dynamical problems in solid mechanics 74D05 Linear constitutive equations for materials with memory Keywords:passive vibration control; fractional differentiation; single-degree-of-freedom model; vibration isolation; engine suspension PDFBibTeX XMLCite \textit{X. Moreau} et al., Nonlinear Dyn. 29, No. 1--4, 343--362 (2002; Zbl 1019.74028) Full Text: DOI