Synthesis and implementation of non-integer integrators using RLC devices

• Published in: International journal of electronics Vol. 96; no. 12; pp. 1207 - 1223
• Main Authors: Daou, Roy Abi Zeid, Francis, Clovis, Moreau, Xavier
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 01.12.2009; Taylor & Francis LLC
• Subjects: Applied sciences; Automatic; Automotive engineering; Control systems; Electric, optical and optoelectronic circuits; Electronics; Engineering Sciences; Exact sciences and technology; fractional controllers; hydropneumatic suspension; non-integer integration; Nonlinear systems; phase constancy; Research methodology; robust control; Theoretical study. Circuits analysis and design; non-integer integration; Active system; hydropneumatic suspension; Automobile industry; Integrator; phase constancy; robust control; RLC circuit; Implementation; Pressure sensitive adhesive; fractional controllers
• ISSN: 0020-7217; 1362-3060
• DOI: 10.1080/00207210903061980

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 , 'The CRONE Suspension: Management of Comfort-Road Holding Dilemma', Journal of Nonlinear Dynamics, 38, 467-484) in collaboration with the PSA Company.