Dedicated periodic scheduling sequences for LPV system identification

2007 European Control Conference, ECC 2007

Volumn , Issue , 2007, Pages 4896-4902

  Felici, Federico ^a   Van Wingerden, Jan Willem ^a   Verhaegen, Michel ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Canonical correlation analysis; LPV systems; Periodic systems; Subspace identification

Indexed keywords

LINEAR SYSTEMS; RELIGIOUS BUILDINGS; TIME VARYING SYSTEMS;

CANONICAL CORRELATION ANALYSIS; LPV SYSTEMS; PERIODIC SCHEDULING; PERIODIC SEQUENCE; PERIODICALLY TIME-VARYING; SIMULATION STUDIES; SUBSPACE IDENTIFICATION; SUBSPACE TECHNIQUES;

SCHEDULING;

EID: 84927747495     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2007.7068729     Document Type: Conference Paper

References (30)

1. R. Murray-Smith and T. A. Johansen, Eds., Multiple Model Approaches to Modelling and Control. London, UK: Taylor & Francis, 1997, iSBN: 0-7484-0595-X.
2. L. Lee and K. Poolla, "Identification of linear parameter-varying systems using nonlinear programming," Journal of Dynamic System Measurement and Control, vol. 121, no. 1, pp. 71-78, 1999.
3. K. Zhou, J. C. Doyle, and K. Glover, Robust and Optimal Control. Upper Saddle River, New Jersey: Prentice Hall, 1996.
4. P. Apkarian and R. J. Adams, "Advanced gain scheduling techniques for uncertain systems," IEEE Transactions on Control Systems Technology, vol. 6, no. 1, pp. 21-32, January 1998.
5. C. W. Scherer, "LPV control and full block multipliers," Automatica, vol. 37, no. 3, pp. 361-375, 2001.
6. V. Verdult, "Nonlinear system identification: A state-space approach," Ph. D. Dissertation, University of Twente, Enschede, The Netherlands, March 2002.
7. J. Borges, V. Verdult, M. Verhaegen, and M. A. Botto, "Separable least squares for projected gradient identification of composite local linear state-space models," in Proceedings of the 16th international symposium on Mathematical Theory of Networks and Systems (MTNS2004), Leuven (Belgium), July 2004.
8. B. Bamieh and L. Giarŕe, "Identification of linear parameter varying models," International Journal of Robust and Nonlinear Control, no. 12, pp. 841-853, 2002.
9. F. Previdi and M. Lovera, "Identification of nonlinear parametrically varying models using separable least squares," International Journal of Control, vol. 77, no. 16, pp. 1382-1392, 2004.
10. V. Verdult and M. Verhaegen, "Subspace identification of multivariable linear parameter-varying systems," Automatica, vol. 38, pp. 805-814, 2002.
11. -, "Kernel methods for subspace identification of multivariable LPV and bilinear systems," Automatica, vol. 41, no. 9, pp. 1557-1565, 2005.
12. V. Verdult, N. Bergboer, and M. Verhaegen, "Identification of fully parameterized linear and nonlinear state-space systems by projected gradient search," in Preprints of the IFAC Symposium on System Identification (SYSID), Rotterdam, The Netherlands, August 2003, pp. 737-742.
13. V. Verdult and M. Verhaegen, "Subspace identification of piecewise linear systems," in Proceedings of the 43nd IEEE Conference on Decision and Control, Atlantis, Paradise Island, Bahamas, December 2004.
14. J.-W. Van Wingerden, F. Felici, and M. Verhaegen, "Subspace identification of MIMO LPV systems using a piecewise constant scheduling sequence with hard/soft switching," in Proceedings of the European Control Conference, Kos, Greece, 2007.
15. M. Verhaegen and X. Yu, "A class of subspace model identification algorithms to identify periodically and arbitrarily time-varying systems," Automatica, vol. 31, no. 2, pp. 201-216, 1995.
16. K. Liu, "Identification of linear time varying systems," Journal of Sound and Vibration, vol. 206, no. 4, pp. 487-505, 1997.
17. J. J. Hench, "A technique for the identification of linear periodic statespace models," International Journal of Control, vol. 62, no. 2, pp. 289-301, 1995.
18. J. B. MacNeil, R. Kearney, and I. Hunter, "Identification of timevarying biological systems from ensemble data," IEEE Transactions on Biomedical Engineering, vol. 39, pp. 1213-1225, 1992.
19. A. Varga, "Computation of minimal periodic realizations of transferfunction matrices," IEEE Transactions on Automatic Control, vol. 49, no. 1, pp. 146-149, 2004.
20. F. Felici, J.-W. Van Wingerden, and M. Verhaegen, "Subspace identification of MIMO LPV systems using a periodic scheduling sequence," Accepted for publication in Automatica, 2007.
21. M. Groot Wassink, M. Van de Wal, C. Scherer, and O. Bosgra, "LPV control for a wafer stage: beyond the theoretical solution," Control Engineering Practice, vol. 13, pp. 231-245, 2005.
22. W. J. Rugh, Linear Systems Theory, 2nd ed. Upper Saddle River, New Jersey: Prentice-Hall, 1996, iSBN: 0-13-441205-2.
23. J. W. Brewer, "Kronecker products and matrix calculus in system theory," IEEE Transactions on Circuits and Systems, vol. CAS-25, no. 9, pp. 772-781, 1978.
24. V. Vapnik, Statistical Learning Theory. New York: John Wiley & Sons, 1998.
25. B. Schölkopf and A. Smola, "Nonlinear component analysis as a kernel eigenvalue problem," Neural Computation, vol. 10, pp. 1299-1319, 1998.
26. G. H. Golub and C. F. Van Loan, Matrix Computations. London, UK: The Johns Hopkins University Press, 1996, iSBN: 0-8018-5413-X.
27. P. Van Overschee and B. De Moor, Subspace Identification for Linear Systems; Theory, Implementation, Applications. Dordrecht, The Netherlands: Kluwer Academic Publishers, 1996, iSBN: 0-7923-9717-7.
28. F. R. Bach and M. I. Jordan, "Kernel independent component analysis," Journal of Machine Learning Research, no. 3, pp. 1-48, 2002.
29. P. L. Lai and C. Fyfe, "Kernel and nonlinear canonical correlation analysis," International Journal of Neural Systems, vol. 10, no. 5, pp. 365-377, 2000.
30. T. De Bie and B. De Moor, "On the regularization of canonical correlation analysis," in 4th International Symposium of Independent Component Analysis and Blind Signal Separation (ICA 2003), Nara, Japan, April 2003.