Frequency domain subspace identification of commensurate fractional order input time delay systems

International Journal of Control, Automation and Systems

Volumn 9, Issue 2, 2011, Pages 310-316

  Li, Wang ^a   Peng, Cheng ^a   Wang, Yong ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Differential evolution; Frequency domain identification; Subspace method; Time delay fractional order systems

Indexed keywords

DE ALGORITHMS; DIFFERENTIAL EVOLUTION; DIFFERENTIAL EVOLUTION ALGORITHMS; FRACTIONAL ORDER; FRACTIONAL-ORDER SYSTEMS; FREQUENCY DOMAINS; FREQUENCY-DOMAIN IDENTIFICATION; IDENTIFICATION METHOD; INPUT TIME-DELAY SYSTEM; OPTIMAL SEARCH; SIMULATION RESULT; STATE SPACE MODEL; SUB-SPACE METHODS; SUBSPACE IDENTIFICATION; TIME DELAY PARAMETERS;

ALGEBRA; EVOLUTIONARY ALGORITHMS; STATE SPACE METHODS; TIME DELAY;

FREQUENCY DOMAIN ANALYSIS;

EID: 79958272629     PISSN: 15986446     EISSN: 20054092     Source Type: Journal    
DOI: 10.1007/s12555-011-0213-4     Document Type: Article

References (23)

1. T. Pritz, "Five-parameter fractional derivative model for polymeric damping materials," Journal of Sound and Vibration, vol. 265, no. 5, pp. 935952, March 2003.
2. W. C. Chen, "Nonlinear dynamics and chaos in a fractional-order financial system," Chaos, Solitons and Fractals, vol. 36, no. 5, pp. 1305-1314, June 2008.
3. A. Carpinteri and F. Mainardi, Fractals and Fractional Calculus in Continuum Mechanics, Springer, Wien, 1997.
4. R. Malti, S. Victor, and A. Oustaloup, "Advances in system identification using fractional models," Journal of Computational and Nonlinear Dynamics, ASME, vol. 3, no.2, pp. 021401-021407, April 2008.
5. T. T. Hartley and C. F. Lorenzo, "Fractional-order system identification based on continuous order distributions," Signal Processing, vol. 83, no. 11, pp. 2287-2300, April 2003.
6. Z. B. Wang, G. Y. Cao, and X. J. Zhu, "Identification algorithm for a kind of fractional order system," Journal of Southeast University (English Edition), vol. 20, no. 3, pp. 297-302, 2004.
7. R. Malti, S. Victor, A. Oustaloup, and H. Garnier, "An optimal instrumental variable method for continuous time fractional model identification," Proc. of the 17th IFAC World Congress, pp. 1437914384, 2008.
8. M. Thomassin and R. Malti, "Subspace method for continuous-time fractional system idenfication," Proc. of the 15th IFAC Symposium on System Identification, Sanit Malo, France, 2009.
9. Y. L. Li and S. L. Yu, "Identification of non-integer order systems in frequency domain," Acta Automatica Sinica, vol. 33, no. 8, pp. 882-884, September 2007.
10. D. Valério, M. D. Ortigueira, and J. S. da Costa, "Identifying a transfer function from a frequency response," Journal of Computational and Nonlinear Dynamics, vol. 3, no. 2, pp. 021207-021213, April 2008.
11. J. Lin, P. Thierry, and Shoutao Li, et.al, "Identification of noninteger order systems in frequency domain," Control Theory and Applications, vol. 25, no. 3, pp. 517-520, 2008.
12. O. Enacheanu, D. Riu, and N. Retière, et al., "Identification of fractional order models for electrical networks," Proc. of the 32nd Annual Conference on IEEE Industrial Electronics, pp. 5392-5396, November 2006.
13. J. L. Adams, T. T. Hartley, and C. F. Lorenzo, "Identification of complex order-distributions," Journal of Vibration and Control, vol. 14, no. 8, pp. 1375-138, September 2008.
14. R. Pintelon, "Frequency-domain subspace identification using non-parametric noise models," Automatica, vol. 38, no. 8, pp. 1295-1311, August 2002. (Pubitemid 34623681)
15. P. Van Overschee and B. De Moor, "Continuoustime frequency domain subspace system identification," Signal Processing, vol. 52, no. 2, pp. 179194, July 1996. (Pubitemid 126370642)
16. D. Bauer, "Order estimation for subspace methods," Automatica, vol. 37, no. 10, pp. 15611573, October 2001. (Pubitemid 32737012)
17. T. McKelvey, "Subspace methods for frequency domain data," Proc. of the American Control Conference, Boston, Massachusetts, pp. 673-678, June 2004.
18. I. Goethals, T. Van Gestel, and J. Suykens, et al., "Identification of positive real models in subspace identification by using regularization, " IEEE Trans. on Automatic Control, vol. 48, no. 10, pp. 1843-1847, October 2003.
19. R. Storn and K. Price, "Differential evolution - a simple and efficient adaptive scheme for global optimization over continuous space," Technical Report, International Computer Science Institute, Berkley, pp. 22-25, March 1995.
20. R. Storn and K. Price, "Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces," Journal of Global Optimization, vol. 11, no. 4, pp. 341-359, 1997. (Pubitemid 127502202)
21. R. Mansouri, M. Bettayeb, and T. Djamah, et al., "Vector Fitting fractional system identification using particle swarm optimization," Applied Mathematics and Computation, vol. 206, no. 2, pp. 510-520, December 2008.
22. S. Victor, R. Malti, and A. Oustaloup, "Instrumental variable method with optimal fractional differential order for continuous-time system identification," Proc. of the 15th IFAC Symposium on System Identification, Sanit Malo, France, 2009.
23. R. Pintelon and J. Schoukens, System Identification: A Frequency Domain Approach, IEEE Press, Piscataway, NJ, USA, 2001.