Limited-bandwidth fractional differentiator: Synthesis and application in vibration isolation

Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering

Volumn , Issue , 2007, Pages 287-302

  Serrier, Pascal ^a   Moreau, Xavier ^a   Oustaloup, Alain ^a  

^a UNIVERSITÉ BORDEAUX 1   (France)

Author keywords

CRONE control; Fractional differentiation; hydropneumatic technology; hydropneumatic test bench

Indexed keywords

EID: 84885693501     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-1-4020-6042-7_20     Document Type: Chapter

References (10)

1. Le Mehauté A (1991) Fractal Geometries. CRC Press, Ann Arbor, London.
2. Onaral B, Schwan HP (1982) Linear and non linear properties of platinum electrode polarization, Part I, Frequency dependence at very low frequencies, Med. Bio. Eng. Comput., 20:299-306.
3. Moreau X, Oustaloup A, Nouillant M (1999) From analysis to synthesis of vehicle suspensions: the CRONE approach, Proceedings of ECC'99, Karlsruhe.
4. Moreau X, Ramus-Serment C, Oustaloup A (2002) Fractional Differentiation in Passive Vibration Control, Special Issue on Fractional Calculus in the J. Nonlinear Dyn., 29:343-362.
5. Oustaloup A (1991) La commande CRONE. Edition Hermès, Paris.
6. Oustaloup A (1995) La dérivation non entière: théorie, synthèse et applications. Edition Hermès, Paris.
7. Binder RC (1973) Fluid Mechanics. Prentice-Hall, Englewood Cliffs, NJ.
8. Serrier P, Moreau X, Oustaloup A (2005) Synthesis of a limited bandwidth fractional differentiator made in hydropneumatic technology. ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Long Beach, CA.
9. Serrier P (2004) Synthèse fondée sur la récursivité fréquentielle d'un dérivateur d'ordre non entier borné en fréquence réalisé en technologie hydropneumatique-Application à la suspension CRONE Hydractive, Mémoire de stage MASTER EEA Recherche, Ecole Doctorale des Sciences Physiques et de l'Ingénieur de l'Université Bordeaux 1.
10. Altet O, Nouillant C, Moreau X, Oustaloup A (2003) Hydractive CRONE suspension as hybrid system, Int. J. Hybrid Syst., 3(2,3):165-188.