Heat transfer modeling and identification using fractional order state space models

Journal Europeen des Systemes Automatises

Volumn 42, Issue 6-8, 2008, Pages 939-951

  Djamah, Tounsia ^a   Mansouri, Rachid ^a   Djennoune, Said ^a   Bettayeb, Maamar ^b  

^a UNIVERSITÉ MOULOUD MAMMERI   (Algeria)

^b UNIVERSITY OF SHARJAH   (United Arab Emirates)

Author keywords

Fractional system; Heat transfer; Marquardt algorithm; Modeling; Output error identification

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; ITERATIVE METHODS; MODELS; NONLINEAR PROGRAMMING; NUMERICAL METHODS; STATE SPACE METHODS;

FRACTIONAL SYSTEMS; HEAT TRANSFER MODEL; HEAT TRANSFER PROBLEMS; INTERFACE DIFFUSION; MARQUARDT ALGORITHM; OUTPUT ERROR IDENTIFICATION; OUTPUT ERROR METHOD; SENSITIVITY FUNCTIONS;

HEAT TRANSFER;

EID: 70350620075     PISSN: 12696935     EISSN: None     Source Type: Journal    
DOI: 10.3166/JESA.42.939-951     Document Type: Article

References (22)

1. Battaglia J. L., Le Lay L., Batsale J. C., Oustaloup A., Cois O., "Heat flow estimate through inverted not integer identification models", Int. J. of Thermal Science, vol. 39, no 3, 2000, p. 374-389.
2. Benchellal A., Poinot T., Trigeassou J. C., "Approximation and identification of fractional systems", International Design Engineering Technical Conferences (ASME, IDETC), Long Beach, California, USA, September 2005.
3. Benchellal A., Poinot T., Trigeassou J. C., "Approximation and identification of diffusive interfaces by fractional systems", Signal Processing, vol. 86, no 10, 2006, p. 2712-2727.
4. Cois O., Systèmes linéaires non entiers et identification par modèle non entier: Application en thermique, Thèse de doctorat, Université de Bordeaux, France, 2002.
5. nd Int. Conf. on Modeling, Simulation and Applied Optimization ICMSAO'07, Abu Dhabi, UAE, 2007.
6. El Khazali R., "On the state space modeling of fractional systems", Proc. IFAC Workshop on Fractional Differentiation and its Applications, Porto, Portugal, 2006, p. 512-517.
7. Lin J., Modélisation et identification de systèmes d'ordre non entier, Thèse de doctorat, Université de Poitiers, France, 2001.
8. Ljung L., System Identification: Theory for the User, Prentice Hall, London, 1987.
9. th IFAC Symposium on System Identification, New Castle, Australia, 2006.
10. Mansouri R., Bettayeb M., Djamah T., Djenounne S., "Multivariable fractional order system approximation using the integral representation", 46 IEEE Conf. on Decision and Control, New Orleans, Louisiana USA, December 12-14, 2007.
11. Marquardt D. W., "An algorithm for least squares estimation of non linear parameters", J. Soc. Industr. Appl. Math., vol. 11, no 2, Paris, France, 1963, p. 431-448.
12. Matignon D., Représentations en variables d'état de guides d'ondes avec dérivation fractionnaire, Ph. D. Thesis, Université de Paris-Sud, Orsay, France, 1994.
13. Montseny G., "Diffusive representation of pseudo-differential time operators", Proc. Fractional Differential Systems: Models, Methods and Applications, Paris, 1998.
14. Nougier J. P., Méthodes de calcul numériques, Masson, Paris, 1987.
15. Oldham K. B., Spanier J., The Fractional Calculus, Academic Press, New York, 1974.
16. Oustaloup A., La dérivation non entière: Théorie, synthèse et applications, Hermès, Paris, 1995.
17. th Biennial Conf. on Mechanical Vibration and Noise, ASME-DETC, Chicago, 2003.
18. Raynaud H., Zergainoh A., "State-space representation of fractional linear filters", Proc. IFAC System Conference, Structure and Control, Nantes, France, 1998.
19. Richalet, J., Rault A., Pouliquen R., Identification des processus par la méthode du modèle, Gordon and Breach, 1971.
20. Sabatier J., Aoun M., Oustaloup A., Gregoire G., Ragot F., Roy P., "Estimation of lead acid battery state of charge with a novel fractional model", Proc. IFAC Workshop on Fractional Differentiation and its Applications, Porto, Portugal, 2006, p. 362-67.
21. Tenreiro Machado J. A., "Special issue on fractional calculus and applications", Non Linear Dynamics, 29, 2002, p. 1-385.
22. st IEEE CDC Tutorial Workshop 2, Las Vegas, USA, 2002.