Set-membership identification of LPV models with uncertain measurements of the time-varying parameter

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2008, Pages 4491-4496

  Cerone, V ^a   Regruto, D ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Bounded uncertainty; Errors in variable; Linear Parameter Varying; Linear programming; Parameter bounding

Indexed keywords

LINEAR PROGRAMMING; TIME VARYING CONTROL SYSTEMS; UNCERTAINTY ANALYSIS;

BOUNDED UNCERTAINTY; ERRORS IN VARIABLES; FEASIBLE PARAMETER SETS; LINEAR PARAMETER VARYING; LINEAR PARAMETER VARYING MODELS; PARAMETER BOUNDING; PARAMETERS UNCERTAINTIES; SET-MEMBERSHIP IDENTIFICATION;

PARAMETER ESTIMATION;

EID: 62949121729     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2008.4739267     Document Type: Conference Paper

References (21)

1. W. J. Rugh and J. S. Shamma, "Research on gain scheduling," Automatica, vol. 36, no. 10, pp. 1401-1425, 2000.
2. M. Nemani, R. Ravikanth, and B. A. Bamieh, "Identification of linear parametrically varying sistems," in Proceedings of 34th Conference on Decision and Control, 1995, pp. 2990-2995.
3. L. H. Lee and K. Poolla, "Identification of linear parameter-varying systems using nonlinear programming," ASME Journal of Dynami Systems, Measurement and Control, vol. 121, pp. 71-78, 1999.
4. B. A. Bamieh and L. Giarré, "Identification of linear parameter-varying models," International Journal of Robust Nonlinear Control, vol. 12, no. 9, pp. 841-853, 2002.
5. L. Giarré, D. Bauso, P. Falugi, and B. Bamieh, "Lpv model identification for gain scheduling control: An application to rotating stall and surge control problem," Control Engineering Practice, vol. 14, pp. 351-361, 2006.
6. V. Verdult and M. Verhaegen, "Subspace identification of multivariable linear parameter-varying systems," Automatica, vol. 38, pp. 805-814, 2002.
7. -, "Kernel methods for subspace identification of multivariable lpv and bilinear systems," Automatica, vol. 41, pp. 1557-1565, 2005.
8. F. Felici, J. W. V. Wingerden, and M. Verhaegen, "Subspace identification of mimo lpv systems using a periodic scheduling sequence," Automatica, vol. 43, pp. 1684-1697, 2007.
9. V. Verdult, M. Lovera, and M. Verhaegen, "Identification of linear parameter-varying state-space models with application to helicopter rotor dynamics," International Journal of Control, vol. 77, no. 13, pp. 1149-1159, 2004.
10. F. Previdi and M. Lovera, "Identification of non-linear parametrically varying models using separable least squares," International Journal of Control, vol. 77, no. 16, pp. 1382-1392, 2004.
11. M. Milanese and A. Vicino, "Optimal estimation theory for dynamic sistems with set membership uncertainty: an overview," Automatica, vol. 27(6), pp. 997-1009, 1991.
12. E. Walter and H. Piet-Lahanier, "Estimation of parameter bounds from bounded-error data: a survey," Mathematics and Computers in simulation, vol. 32, pp. 449-468, 1990.
13. M. Milanese, J. Norton, H. Piet-Lahanier, and E. Walter, Eds., Bounding approaches to system identification. New York: Plenum Press, 1996.
14. J. Norton (Ed.), "Special issue on bounded-error estimation," Int. J. of Adapt. Control & Sign. Proces., vol. 8, no. 1, 1994.
15. -, "Special issue on bounded-error estimation," Int. J. of Adapt. Control & Sign. Proces., vol. 9, no. 1, 1995.
16. M. Sznaier and C. Mazzarro, "An lmi approach to control-oriented identification and model (in)validation of lpv systems," IEEE Transaction on Automatic Control, vol. 48, no. 9, pp. 1619-1624, 2003.
17. G. Belfore and P. Gay, "Optimal worst case estimation for lpv-fir models with bounded errors," Systems & Control letters, vol. 53, pp. 259-268, 2004.
18. L. Jaulin, M. Kieffer, O. Didrit, and E. Walter, Applied Interval Analysis. Springer, 2001.
19. S. Veres and J. Norton, "Parameter-bounding algorithms for linear errors in variables models," in Proc. of IFAC/IFORS Symposium on Identification and System Parameter Estimation, 1991, pp. 1038-1043.
20. V. Cerone, "Feasible parameter set for linear models with bounded errors in all variable," Automatica, vol. 29, no. 6, pp. 1551-1555, 1993.
21. B. Kacewicz, M. Milanese, R. Tempo, and A. Vicino, "Optimality of central and projection algorithms for bounded uncertainty," Systems and Control Letters, vol. 8, pp. 161-171, 1986.