General orthonormal bases for robust identification in H∞

Proceedings of the IEEE Conference on Decision and Control

Volumn 3, Issue , 2002, Pages 2619-2624

  Akçay, Hüseyin ^a  

^a ANADOLU UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONTROL SYSTEM SYNTHESIS; DISCRETE TIME CONTROL SYSTEMS; LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; OPTIMAL CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS);

LINEAR TIME INVARIANT SYSTEM; ORTHONORMAL BASIS FUNCTION; ROBUST IDENTIFICATION;

IDENTIFICATION (CONTROL SYSTEMS);

EID: 0036993733     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (18)

1. H. Akçay and B. Ninness, Rational basis functions for robust identification from frequency and time-domain measurements, Automatica 34:1101-1117, 1998.
2. H. Akçay, On the existence of a disk algebra basis, Signal Process. 80:903-907, 2000.
3. H. Akcay, On the uniform approximation of discrete-time systems by generalized Fourier series, IEEE SP-49:1461-1467, 2001.
4. ∞, SIAM J. Control & Optim. 40:947-968, 2001.
5. ∞ with Rational Basis Functions, IJRNC 12:71-86, 2002.
6. ∞, Automatica 28:229-312, 1992.
7. ∞, IEEE AC-36:1163-1176, 1991.
8. P. S. C. Heuberger, P. M. J. Van den Hof, and O. Bosgra, A generalized orthonormal basis for linear dynamical systems, IEEE AC-40:451-465, 1995.
9. P. M. Mäkilä, Laguerre series approximation of infinite dimensional systems, Automatica 26:985-995, 1990.
10. B. Ninness and F. Gustafsson, A unifying construction of orthonormal bases for system identification, IEEE AC-42:515-521, 1997.
11. A. M. Olevskii, Fourier Series with Respect to General Orthogonal Systems, translated by B. P. Marshall and H. J. Christoffers, Springer-Verlag, Berlin, 1975.
12. ∞, J. Math. Anal. Appl. 166:428-441, 1992.
13. F. Schipp, L. Gianone, and J. Bokor, Identification in generalized orthogonal basis - a frequency domain approach, in Proc. 13th IFAC World Congress, San Francisco, 1996, pages 387-392.
14. ∞ using generalized orthonormal basis, IEEE AC-44:153-158, 1999.
15. P. M. J. Van den Hof, P. S. C. Heuberger, and J. Bokor, System identification with generalized orthonormal basis functions, Automatica 31:1821-1834, 1995.
16. B. Wahlberg and P. M. Mäkilä, On approximation of stable linear dynamical systems using Laguerre and Kautz functions, Automatica 32:693-708, 1996.
17. N. F. D. Ward and J. R. Partington, Robust identification in the disk algebra using rational wavelets and orthonormal bases functions, IJC 64:409-423, 1996.
18. P. Wojtaszczyk and K. Woźniakowski, Orthonormal polynomial bases in function spaces, Israel J. Math. 75:167-191, 1991.