Observer for discrete fractional order state-space systems

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 2, Issue PART 1, 2006, Pages 511-516

  Dzieliński, Andrzej ^a   Sierociuk, Dominik ^a  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Discrete fractional order state space system; Infinite dimensional systems; Observability; Observer

Indexed keywords

APPLICATION PROGRAMS;

FRACTIONAL ORDER; FRACTIONAL-ORDER SYSTEMS; INFINITE-DIMENSIONAL SYSTEM; NUMERICAL ASPECTS; OBSERVER; OBSERVER ALGORITHMS;

OBSERVABILITY;

EID: 79961124772     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20060719-3-pt-4902.00085     Document Type: Conference Paper

References (17)

1. Bologna, M. and P. Grigolini (2003). Physics of Fractal Operators. Springer-Verlag.
2. Dorčák, L., I. Petráš, I. Koštial and J. Terpák (2002). Fractional-order state space models. In: Proceedings of International Carpathian Control Conference. ICCC 2002. pp. 193-198.
3. Dzieliński, Andrzej and Dominik Sierociuk (2005). Adaptive feedback control of fractional order discrete state-space systems. In: Proceedings of International Conference on Computational Intelligence for Modelling Control and Automation. Vol. 1. CIMCA'2005. pp. 804-809.
4. Dzieliński, Andrzej and Dominik Sierociuk (2006). Stability of discrete fractional order statespace systems. In: Proceedings of 2nd IFAC Workshop on Fractional Differentiation and its Applications. IFAC FDA'06. (submited to).
5. Hilfer, R., Ed. (2000). Application of Fractional Calculus in Physics. World Scientific.
6. Luenberger, D. G. (1964). Observing the state of a linear system. IEEE Trans. Military Electronics MIL-8(2), 74-80.
7. Matignon, D. (1998). Stability properties for generalized fractional differential systems. In: ESAIM: Proceedings, Fractional Differential Systems: Models, Methods and Applications. Vol. 5. pp. 145-158.
8. Matignon, D. and B. D'Andréa-Novel (1996). Some results on controllability and observability of finite-dimensional fractional differential systems. In: Computational Engineering in Systems Applications. Vol. 2. IMACS, IEEE-SMC. pp. 952-956.
9. Matignon, D. and B. D'Andréa-Novel (1997). Observer-based controllers for fractional differential systems. In: Conference on Decision and Control. IEEE-CSS, SIAM. pp. 4967-4972.
10. Miller, K.S. and B. Ross (1993). An Introduction to the Fractional Calculus and Fractional Differenctial Equations. John Wiley & Sons Inc.. New York.
11. Oldham, K. B. and J. Spanier (1974). The Fractional Calculus. Academic Press. New York.
12. Ostalczyk, P. (2000). The non-integer difference of the discrete-time function and its application to the control system synthesis. International Journal of Systems Science 31(12), 1551-1561.
13. Podlubny, I. (1999). Fractional Differential Equations. Academic Press. San Diego.
14. Samko, S.G., A.A. Kilbas and O.I. Maritchev (1987). Fractional Integrals and Derivative. Theory and Applications. Gordon & Breach Sci. Publishers.
15. Sierociuk, Dominik (2005). Fractional Order Discrete State-Space System Simulink Toolkit User Guide. http://www.ee.pw.edu.pl/~dsie-roci/fsst/fsst.htm.
16. Sierociuk, Dominik and Andrzej Dzieliński (2006). Fractional kalman filter algorithm for states, parameters and order of fractional system estimation. International Journal of Applied Matchematics and Computer Science 16(1), 101-112.
17. Vinagre, B.M., C.A. Monje and A.J. Calderón (2002). Fractional order systems and fractional order control actions. In: Lecture 3 of the IEEE CDC02 TW#2: Fractional Calculus Applications in Automatic Control and Robotics.