System identification using fractional hammerstein models

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 15, Issue 1, 2002, Pages 265-269

  Aoun, Mohamed ^a   Malti, Rachid ^b   Cois, Olivier ^a   Oustaloup, Alain ^a  

^a UNIVERSITÉ DE BORDEAUX   (France)

^b UNIVERSITÉ PARIS EST CRÉTEIL   (France)

Author keywords

Fractional differentiation; Hammerstein model; Identification; Non linear modelling

Indexed keywords

AUTOMATION; IDENTIFICATION (CONTROL SYSTEMS); LINEAR SYSTEMS; NONLINEAR SYSTEMS;

FRACTIONAL DIFFERENTIATION; FRACTIONAL MODEL; FRACTIONAL ORDER; HAMMERSTEIN MODEL; HAMMERSTEIN-TYPE MODELS; IDENTIFICATION METHOD; NON-LINEAR MODELLING; RIEMANN-LIOUVILLE DEFINITIONS;

CONTINUOUS TIME SYSTEMS;

EID: 84945550683     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20020721-6-es-1901.01030     Document Type: Conference Paper

References (15)

1. Battaglia, J.L., O. Cois, L. Puigsegur and A. Oustaloup. Solving an inverse heat conduction problem using a non-integer identified model, International Journal of Heat and Mass Transfer, 2001, no 14, Vol. 44.
2. Battaglia, J.L., L. Le Lay, J.-C. Batsale, A. Oustaloup and O. Cois. Heat flow estimation through inverted non integer identification models, International Journal of Thermal Science, 1999, no39, Vol. 3.
3. Billings, S.A. and S.Y. Fakhouri. Identification of systems containing linear dynamic and static nonlinear elements, Automatica 18 (1) (1982) 15-26.
4. th Symposium on system Identification.2000. Santa Barbara.
5. Haber, R. and H. Unbehauen. Structure identification of non linear dynamic systems: a survey on input/output approachs, Automatica 26 (4) (1990) 651-677.
6. Ljung, L. (1987). System identification theory for the user. Prentice-Hall, Inc., Englewood Cliffs, New Jersey 07632.
7. Marquardt, D.W. (1963), An algorithm for least squares estimation of non-linear parameters, J. Soc. Industr. Appl. Math, 11(2), 431-441.
8. Miller, K.S. and B. Ross. (1993), An introduction to the fractional calculus and fractional differential equations. A Wiley-Interscience Publication.
9. Oustaloup, A. (1995). La dérivation non entière: théorie, synthèse et applications, Hermès, Paris.
10. Oldham K. B. and J. Spanier (1974). The fractional calculus. Academic Press, New York and London.
11. Özkan, G., S. Özen, S. Erdogan, H. Hapoglu and M. Alpbaz. Nonlinear control of polymerization reactor, Computers & Chemical Engineering, Volume 25, Issues 4-6, 1 May 2001, pages 757-763.
12. Ralston, J.C., Zoubir, A.M. and Boashash, B., Identification of a class of nonlinear systems under stationary non-Gaussian excitation, IEEE Transactions on Signal Processing, Volume 45, Issue 3, 1997, pages 719-735.
13. Samko, S.G., A.A. Kilbas and O.I. Marichev (1993), Fractional integrals and derivatives: theory and applications, Gordon and Breach Science Publishers, Amsterdam.
14. Trigeassou J.-C., T. Poinot, J. Lin, A. Oustaloup, F. Levron. Modeling and identification of a non integer order system. Proc ECC'99, European Control Conference. 1999. Karlsruhe, Germany.
15. Zhu, X. and D.E. Seborg. Nonlinear predictive control based on Hammerstein models, Control Theory & Applications, Volume 11, Issue 5, 1994, pages 564-575.