On observability of fractional order systems

Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009

Volumn 4, Issue PART A, 2010, Pages 253-260

  Sabatier, Jocelyn ^a   Merveillaut, Mathieu ^a   Fenetau, Ludovic ^a   Oustaloup, Alain ^a  

^a UNIVERSITÉ BORDEAUX 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTIONAL SYSTEMS; FRACTIONAL-ORDER SYSTEMS; PARABOLIC EQUATIONS; STATE SPACE; SYSTEM STATE;

ALGEBRA; OBSERVABILITY;

DESIGN;

EID: 77953718841     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC2009-87262     Document Type: Conference Paper

References (19)

1. Sabatier J., Merveillaut M., Malti R. Oustaloup A. - On a Representation of Fractional Order Systems: Interests for the Initial Condition Problem -3rd IFAC Workshop on "Fractional Differentiation and its Applications" (FDA'08) - Ankara, Turkey, November 5-7, 2008.
2. Lorenzo C. F., Hartley T. T., Initialization in fractional order systems, Proceedings of the European Control Conference, pp. 1471-1476, Porto, Portugal, 2001.
3. Oldham K. B., Spanier J., The Fractional Calculus; Theory and Applications of Differentiation and Integration to Arbitrary Order (Mathematics in Science and Engineering, V), Academic Press, 1974.
4. Samko S. G, Kilbas A. A., Marichev O. I., Fractional Integrals and Derivatives, Gordon and Breach Science Publishers, 1993.
5. Miller, K.S., Ross, B., An Introduction To The Fractional Calculus and Fractional Differential Equation, John Wiley & Sons, Inc., New York, 1993.
6. Podlubny I., Fractional differential equations, Mathematics in Sciences and Engineering no 198, Academic Press, 1999.
7. Debnath L., Recent applications of fractional calculus to science and engineering, International Journal of Mathematics and Mathematical Sciences, Vol. 54 pp 3413-3442, (2003).
8. Matignon D., Stability properties for generalized fractional differential systems, ESAIM: Proc. 5, pp 145-158, 1998.
9. Oustaloup A., Systèmes asservis linéaires d'ordre fractionnaire, Editions Masson, Paris, 1983.
10. Weinberger H. F, Partial differential equations, Waltham, Mass., Blaisdel Publ. Co., 1965.
11. Matignon D., D'Andréa-Novel B., Some results on controllability and observability of finite-dimensional fractional differential systems, Computational Engineering in Systems Applications, vol. 2, Lille, France, July 1996, IMACS, IEEE-SMC, pp. 952-956.
12. Nanot F., Dérivateur generalisé et representation généralisées des systèmes linéaires, PhD thesis, Bordeaux 1 University, 1996.
13. Matignon D., D'Andréa-Novel B., Observer-based controllers for fractional differential systems, in Conference on Decision and Control, San Diego, California, IEEE-CSS, SIAM, pp. 4967-4972, December 1997.
14. Hotzel R, Fliess M, «On linear systems with fractional derivation : Introductory theory and examples » Mathematics and Computers in simulation 45 385-395, 1998.
15. Bettayeb M, Djennoune S., A note on the controllabity and the observability of fractional dynamical systems, IFAC-FDA workshop, Porto, 2006.
16. Al Jai A., Amouroux M., Automatique des systèmes distribués, 1990, Hermès Ed. Paris.
17. Sabatier J., Melchior P., Oustaloup, A testing bench for fractional order systems education, JESA (Journal Européen des Systèmes Automatisés), Vol 42, No 6, 7 et 8, 2008.
18. Melchior P., Lanusse P., Cois O., Dancla F., Oustaloup A. (2002). Crone Toolbox for Matlab: Fractional Systems Toolbox - Tutorial Workshop on "Fractional Calculus Applications in Automatic Control and Robotics", 41st IEEE CDC'02 - Las Vegas, Nevada, USA, December 9-13.
19. Oustaloup A., La dérivation non entière, théorie, synthèse et applications, Editions Hermès, Paris, France, 1995, .