System identification with generalized orthonormal basis functions

Paul M J Van den Hof, Peter S C Heuberger, J. Bokor

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Citations (Scopus)

Abstract

A least squares identification method is studied that estimates a finite number of expansion coefficients in the series expansion of a transfer function, where the expansion is in terms of generalized basis functions. The basis functions are orthogonal in H2 and generalize the pulse, Laguerre and Kautz bases. The construction of the basis is considered and bias and variance expressions of the identification algorithm are discussed. The basis induces a new transformation (Hambo transform) of signals and systems, for which state space expressions are derived.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherIEEE
Pages3382-3387
Number of pages6
Volume4
Publication statusPublished - 1994
EventProceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4) - Lake Buena Vista, FL, USA
Duration: Dec 14 1994Dec 16 1994

Other

OtherProceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4)
CityLake Buena Vista, FL, USA
Period12/14/9412/16/94

Fingerprint

Identification (control systems)
Orthogonal functions
Transfer functions

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Van den Hof, P. M. J., Heuberger, P. S. C., & Bokor, J. (1994). System identification with generalized orthonormal basis functions. In Proceedings of the IEEE Conference on Decision and Control (Vol. 4, pp. 3382-3387). IEEE.

System identification with generalized orthonormal basis functions. / Van den Hof, Paul M J; Heuberger, Peter S C; Bokor, J.

Proceedings of the IEEE Conference on Decision and Control. Vol. 4 IEEE, 1994. p. 3382-3387.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Van den Hof, PMJ, Heuberger, PSC & Bokor, J 1994, System identification with generalized orthonormal basis functions. in Proceedings of the IEEE Conference on Decision and Control. vol. 4, IEEE, pp. 3382-3387, Proceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4), Lake Buena Vista, FL, USA, 12/14/94.
Van den Hof PMJ, Heuberger PSC, Bokor J. System identification with generalized orthonormal basis functions. In Proceedings of the IEEE Conference on Decision and Control. Vol. 4. IEEE. 1994. p. 3382-3387
Van den Hof, Paul M J ; Heuberger, Peter S C ; Bokor, J. / System identification with generalized orthonormal basis functions. Proceedings of the IEEE Conference on Decision and Control. Vol. 4 IEEE, 1994. pp. 3382-3387
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