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Synthesis and implementation of non-integer integrators using RLC devices
Authors:Roy Abi Zeid Daou  Xavier Moreau
Affiliation:1. Bordeaux I, LAPS, Univeriste de Bordeaix 1, Cours de la liberation - Bat. A4 , Bordeaux, France;2. Faculty of Sciences and Engineering, Department of Engineering , Holy Spirit University , Kaslik, Jounieh, Lebanon;3. Bordeaux I, LAPS, Univeriste de Bordeaix 1, Cours de la liberation - Bat. A4 , Bordeaux, France
Abstract:The aim of this article is to introduce a new method used to implement non-integer operators, which is based on R, L and C electrical devices. Several configurations of RLC devices are emphasised. Our results show that only specific arrangements of RLC devices may lead to non-integer behaviour. We present a new synthesis method which is used to determine the electrical devices value based on high level parameters. We investigate a particular case of identical RLC cells which is widely used in automotive suspension controllers' implementation. Our results are applied to the implementation of the Citroen active suspension developed earlier by the Laps department (Moreau, Altet and Oustaloup 2004 Moreau, X., Altet, O. and Oustaloup, A. 2004. ‘The CRONE Suspension: Management of Comfort-Road Holding Dilemma’. Journal of Nonlinear Dynamics, 38: 461484.  Google Scholar], ‘The CRONE Suspension: Management of Comfort-Road Holding Dilemma’, Journal of Nonlinear Dynamics, 38, 467–484) in collaboration with the PSA Company.
Keywords:non-integer integration  phase constancy  fractional controllers  robust control  hydropneumatic suspension
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