Taking into Account of Non-Linearities in the CRONE approach: Application to Vibration Isolation

The interest of fractional differentiation in vibration isolation has been shown in many previous papers, in particular in the case of suspension achievements in hydropneumatic technology. This paper aims to show that the hydropneumatic components non-linearities do not deteriorate the remarkable performances of a particular CRONE suspension (suspension whose force-deflection transfer function is a band-limited fractional differentiator) realized in hydropneumatic technology and to propose a method to analyse these non-linearities influence. The suggested method to take into account the non-linearities is based on the Volterra series representation