Approximate H∞ identification using partial sum operators in a disc algebra basis

IEEE Transactions on Automatic Control

Volumn 43, Issue 8, 1998, Pages 1117-1122

  Gianone, László ^a   Bokor, József ^a   Schipp, Ferenc ^b  

^a INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

^b EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

Disc algebra basis; H identification; Parameter estimation; Summation technique; System identification

Indexed keywords

ALGEBRA; ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; FREQUENCY DOMAIN ANALYSIS; HEURISTIC METHODS; IDENTIFICATION (CONTROL SYSTEMS); MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PARAMETER ESTIMATION; TRANSFER FUNCTIONS;

DISC ALGEBRA BASIS; FABER-SCHAUDER SYSTEM; SUMMATION TECHNIQUE;

OPTIMAL CONTROL SYSTEMS;

EID: 0032137767     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.704985     Document Type: Article

References (21)

1. S. V. Bochkarev, "Existence of a basis in the space of functions analytic in the disc, and some properties of Franklin's system," Mat. USSR Sbornik, vol. 24, no. 1, pp. 1-16, 1974.
2. _, "The conjugate Franklin system is a basis in the space of continuous functions," Soviet Math. Dokl., vol. 32, no. 3, pp. 701-705, 1985.
3. ∞ identification using partial sum operators in disc algebra basis," in Proc. American Control Conf., Seattle, WA, 1995, pp. 1981-1985.
4. Z. Ciesielski, "Properties of the orthonormal Franklin system," Studia Mathematica, vol. 23, pp. 141-157, 1963.
5. ∞: Validation of a priori information, essentially optimal algorithms, and error bounds," in Proc. American Control Conf., Chicago, IL, 1992, pp. 251-257.
6. ⊥ identification: A time domain approach," IEEE Trans. Automat. Contr., vol. 40, no. 4, pp. 729-735, 1995.
7. E. W. Cheney, Introduction to Approximation Theory. New York: McGraw-Hill, 1966.
8. p Spaces. New York: Academic, 1970.
9. Ph. Franklin, "A set of continuous orthogonal functions," Mathematische Annalen, vol. 100, pp. 522-529, 1928.
10. L. Gianone, "System identification for robust control using noncanonical bases," Ph.D. dissertation, Computer and Automation Research Institute, HAS, 1996.
11. ∞ with error bounds," IEEE Trans. Automat. Contr., vol. 37, pp. 953-963, July 1992.
12. ∞," IEEE Trans. Automat. Contr., vol. 36, pp. 1163-1176, Oct. 1991.
13. P. M. Mäkilä, J. R. Partington, and T. K. Gustafsson, "Robust identification," in Proc. 10th IFAC Symp. System Identification, 1994, vol. 1, pp. 46-63.
14. M. Milanese and A. Vicino, "Information based complexity and non-parametric worst-case identification," J. Complexity, vol. 9, pp. 427-446, 1993.
15. B. Ninness and G. Goodwin, "Estimation of model quality," in Proc. 10th IFAC Symp. System Identification, Copenhagen, Denmark, 1994, vol. 1, pp. 25-44.
16. P. Parker and R. R. Bitmead, "Adaptive frequency response identification," in Proc. 26th Conf. Decision and Control, 1987, pp. 348-353.
17. ∞," J. Math. Anal. and Appl., vol. 166, pp. 428-441, 1992.
18. F. Schipp, W. R. Wade, P. Simon, and J. Pal, Walsh Series - An Introduction to Dyadic Harmonic Analysis. Budapest: Akadémia, 1990.
19. P. M. J. Van den Hof, P. S. C. Heuberger, and J. Bokor, "System identification with generalized orthonormal basis functions," Automatica, vol. 31, no. 12, pp. 1821-1834, 1994.
20. B. Walberg, "Laguere and Kautz models," in Proc. 10th IFAC Symp. System Identification, Copenhagen, Denmark, 1994, vol. 3, pp. 1, 2.
21. A. Zygmund, Trigonometrical Series. Cambridge, U.K.: Cambridge Univ. Press, 1959, vols 1/2.