Nearly optimal model sets in H∞ identification

2001 European Control Conference, ECC 2001

Volumn , Issue , 2001, Pages 1704-1709

  Milanese, Mario ^a   Taragna, Michele ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Bounded Uncertainty and Errors in Variables Estimation; Identification for Control; Identification Methods; Robust Control; Set Membership Estimation and Identification

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; ROBUST CONTROL;

ALTERNATIVE ALGORITHMS; ERRORS IN VARIABLES; IDENTIFICATION ACCURACY; IDENTIFICATION FOR CONTROL; IDENTIFICATION METHOD; IDENTIFICATION OF MODEL; INTERPOLATORY ALGORITHMS; SET-MEMBERSHIP ESTIMATION;

OPTIMIZATION;

EID: 84947475502     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (25)

1. J. Chen and G. Gu. Control-Oriented System Identification: An H∞ Approach. John Wiley & Sons, Inc., New York, 2000.
2. J. Chen and C. N. Nett. The Carathéodory-Fejér problem and H∞/-1 identification: A time domain approach. IEEE Transactions on Automatic Control, AC-40(4):729-735, 1995.
3. J. Chen, C. N. Nett, and M. K. H. Fan. Worst case system identification in H∞: validation of a priori information, essentially optimal algorithms, and error bounds. IEEE Transactions on Automatic Control, AC-40(7):1260-1265, 1995.
4. A. Garulli, B. Kacewicz, A. Vicino, and G. Zappa. Suboptimal conditional estimators for restricted complexity set membership identification. In A. Garulli, A. Tesi, and A. Vicino, editors, Robustness in Identification and Control, Lecture Notes in Control and Information Sciences 245, pages 117-133. Springer-Verlag, Godalming, UK, 1999.
5. L. Giarré, B. Z. Kacewicz, andM. Milanese. Model quality evaluation in set membership identification. Automatica, 33(6):1133-1139, 1997.
6. L. Giarré, M. Milanese, and M. Taragna. H∞ identification and model quality evaluation. IEEE Transactions on Automatic Control, AC-42(2):188-199, 1997.
7. G. Gu and J. Chen. A nearly interpolatory algorithm for H∞ identification with mixed time and frequency response data. IEEE Transactions on Automatic Control, AC-46(3):464-469, 2001.
8. G. Gu and P. P. Khargonekar. Linear and nonlinear algorithms for identification in H∞ with error bounds. IEEE Transactions on Automatic Control, AC-37(7):953-963, 1992.
9. G. Gu, D. Xiong, and K. Zhou. Identification inH∞ using Pick's interpolation. Systems & Control Letters, 20:263-272, 1993.
10. A. J. Helmicki, C. A. Jacobson, and C. N. Nett. Control oriented system identification: A worst-case/deterministic approach in H∞. IEEE Transactions on Automatic Control, AC-36(10):1163-1176, 1991.
11. B. Z. Kacewicz, M. Milanese, and A. Vicino. Conditionally optimal algorithms and estimation of reduced order models. Journal of Complexity, 4:73-85, 1988.
12. M. A. Kon and R. Tempo. On linearity of spline algorithms. Journal of Complexity, 5(2):251-259, 1989.
13. L. Ljung. Model validation and model error modeling. In B. Wittenmark and A. Rantzer, editors, The ?Aström Symposium on Control, pages 15-42, Lund, Sweden, Aug. 1999. Studentlitteratur.
14. M. Milanese, J. Norton, H. Piet-Lahanier, and é. Walter, editors. Bounding Approaches to System Identification. Plenum Press, New York, 1996.
15. M. Milanese and M. Taragna. Inputs for convergent SM identification with approximated models. In Proc. of the 37th IEEE Conference on Decision and Control, pages 4458-4463, Tampa, FL, 1998.
16. M. Milanese and M. Taragna. SM identification of model sets for robust control design from data. In A. Garulli, A. Tesi, and A. Vicino, editors, Robustness in Identification and Control, Lecture Notes in Control and Information Sciences 245, pages 17-34. Springer-Verlag, Godalming, UK, 1999.
17. M. Milanese and M. Taragna. Suboptimality evaluation of approximated models in H∞ identification. In Proc. of the 38th IEEE Conference on Decision and Control, pages 1494-1499, Phoenix, AZ, 1999.
18. M. Milanese and M. Taragna. Optimality, approximation and complexity in Set Membership H∞ identification. Technical Report MiTa01, DAUIN-Politecnico di Torino, 2000.
19. M. Milanese and M. Taragna. Set Membership identification for H∞ robust control design. In Proc. of 12th IFAC Symposium on System Identification SYSID 2000, Santa Barbara, CA, 2000.
20. M. Milanese, M. Taragna, and P. M. J. Van den Hof. Closed-loop identification of uncertainty models for robust control design: A set membership approach. In Proc. of the 36th IEEE Conference on Decision and Control, pages 2447-2452, San Diego, CA, 1997.
21. M. L. Overton. Algorithms for nonlinear 1 and fitting. In M. J. D. Powell, editor, Nonlinear Optimization 1981. Academic Press, New York, 1982.
22. F. Paganini. A set-based approach for white noise modeling. IEEE Transactions on Automatic Control, AC-41(10):1453-1465, 1996.
23. P. A. Parrilo, M. Sznaier, and R. S. Sánchez Peña. Mixed time/frequency-domain based robust identification. Automatica, 34:1375-1389, 1998.
24. J. R. Partington. Interpolation, Identification, and Sampling, volume 17 of London Mathematical Society Monographs New Series. Clarendon Press-Oxford, New York, 1997.
25. R. E. Scheid and D. S. Bayard. A globally optimal minimax solution for spectral overbounding and factorization. IEEE Transactions on Automatic Control, AC-40(4):712-716, 1995.