A method for modelling and simulation of fractional systems

Signal Processing

Volumn 83, Issue 11, 2003, Pages 2319-2333

  Poinot, T ^a   Trigeassou, J C ^a  

^a Lab d'Automat et d'Info Indust   (France)

Author keywords

Fractional operator; Fractional systems; Modelling; Simulation; State space representation

Indexed keywords

COMPUTER SIMULATION; DIFFUSION; ELECTROCHEMISTRY;

FRACTIONAL SYSTEMS;

WAVE FILTERS;

EID: 0141996370     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-1684(03)00185-3     Document Type: Article

References (23)

1. J.L. Battaglia, Méthodes d'identification de modèles à dérivées d'ordres non entiers et de réduction modale. Application à la résolution de problèmes thermiques inverses dans des systèmes industriels, Habilitation à Diriger des Recherches, Université de Bordeaux I, 2002.
2. Beran J. Statistical methods for data with long-range dependance. Stat. Sci. 7:1992;404-427.
3. Y.Q. Chen, K.L. Moore, Discretization schemes for fractional differentiators and integrators, IEEE Trans. Circuits System 1: Fundamental Theory Appl. 49 (3) (2002) 363-367.
4. O. Cois, Systèmes linéaires non entiers et identification par modèle non entier: application en thermique, Thèse de Doctorat, Université de Bordeaux I, 2002.
5. M. Fliess, R. Hotzel, Linear systems with a derivation of non integer order: introductory theory with an example, Proceedings CESA'96 Symposium on Models, Analysis and Simulation, Vol. 1, France, 1996, pp. 213-217.
6. D. Heleschewitz, D. Matignon, Diffusive realisations of fractional integrodifferential operators: structural analysis under approximation, Proceedings IFAC Conference System, Structure and Control, Vol. 2, Nantes, France, 1998, pp. 243-248.
7. Ichise M., Nagayanagi Y., Kojima T. An analog simulation of non integer order transfer functions for analysis of electrode processes. J. Electroanal. Chem. Interfacial Electrochem. 33:1971;253.
8. L. Le Lay, A. Oustaloup, J.-C. Trigeassou, F. Levron, Frequency identification by non integer model, Proceedings IFAC Conference System, Structure and Control, Nantes, France, 1998, pp. 297-302.
9. L. Le Lay, A. Oustaloup, J.-C. Trigeassou, F. Levron, Frequency identification by implicit differentiation models, Proceedings AVCS'98 International Conference on Advance in Vehicle Control and Safety, Amiens, France, 1998, 351-356.
10. J. Lin, Modélisation et identification de systèmes d'ordre non entier, Thèse de Doctorat, Université de Poitiers, 2001.
11. J. Lin, T. Poinot, Modélisation de systèmes d'ordre non entier, JDA'99 Journées Doctorales d'Automatique, Nancy, France, 1999, pp. 53-56.
12. J. Lin, T. Poinot, J.C. Trigeassou, P. Coirault, Parameter estimation of fractional systems. Application to heat transfer, ECC 2001, European Control Conference, Porto, Portugal, 2001, pp. 2644-2649.
13. J. Lin, T. Poinot, J.C. Trigeassou, H. Kabbaj, J. Faucher, Modélisation et identification d'ordre non entier d'une machine asynchrone, CIFA'2000, Conférence Internationale Francophone d'Automatique, Lille, France, 2000.
14. J. Lin, T. Poinot, J.C. Trigeassou, R. Ouvrard, Parameter estimation of fractional systems: application to the modeling of a lead-acid battery, SYSID 2000, 12th IFAC Symposium on System Identification, USA, 2000.
15. Matignon D., d'Andréa-Novel B., Depalle P., Oustaloup A. Viscothermal losses in wind instrument: a non integer model. System and Networks: Mathematical Theory and Applications. Vol. 2:1994;Akademie Verlag, Berlin.
16. Miller K.S., Ross B. An Introduction to the Fractional Calculus and Fractional Differential Equations. 1993;Wiley-Interscience Publication, New York.
17. G. Montseny, Diffusive representation of pseudo-differential time-operators, Proceedings Fractional Differential Systems: Models, Methods and Applications, Paris, 1998.
18. Oustaloup A. Systèmes asservis linéaires d'ordre fractionnaire. 1983;Masson, Paris.
19. A. Oustaloup, La dérivation non entière: théorie, synthèse et applications, Hermès, 1995.
20. T. Poinot, J.C. Trigeassou, Parameter estimation of fractional models: application to the modeling of diffusive systems, 15th IFAC World Congress, Barcelona, Spain, 2002.
21. H.F. Raynaud, A. Zergainoh, State-space representation of fractional linear filters, Proceedings IFAC Conference System Structure and Control, Nantes, France, 1998.
22. Retière N., Ivanes M. Modeling of electric machines by implicit derivative half-order systems. IEEE Power Eng. Rev. 18(9):1998;62-64.
23. J.A. TenReiro Machado, Discrete-time fractional-order controllers, Proceedings IEEE-INES'2000, Fourth International Conference on Intelligent Engineering Systems, Slovenia, 2000.