Identification of resonant systems using Kautz filters
1991 (English)In: Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3), 1991, Vol. 2, no Piscataway, NJ, United States, 2005-2010 p.Conference paper (Refereed)
It is pointed out that by approximating the impulse response of a linear time-invariant stable system by a finite sum of given exponentials, the problem of estimating the transfer function is considerably simplified. The author shows how the complexity can be reduced further by using orthogonalized exponentials. The analysis is based on the result that the corresponding normal equations will then have a Toeplitz structure. The z-transform of orthogonalized exponentials corresponds to discrete Kautz functions, which generalize discrete Laguerre functions to the several, possibly complex, poles case. Hence, by appropriate choice of time constants Kautz models give low-order useful approximations of many systems of interest. In particular, resonant systems can be well approximated using Kautz models with complex poles. Several basic results on transfer function estimation are extended to discrete Kautz models, for example, frequency-domain quality properties and efficient numerical techniques.
Place, publisher, year, edition, pages
1991. Vol. 2, no Piscataway, NJ, United States, 2005-2010 p.
Estimation, Linear control systems, Matrix algebra, Signal filtering and prediction, Transfer functions, Z transforms, Kautz filters, Laguerre functions, Orthogonalized exponentials, Resonant systems, Identification (control systems)
IdentifiersURN: urn:nbn:se:kth:diva-55435DOI: 10.1109/CDC.1991.261769ISBN: 0780304500OAI: oai:DiVA.org:kth-55435DiVA: diva2:471589
the 30th IEEE Conference on Decision and Control. Brighton, England. 11 December 1991 - 13 December 1991
QC 20120104. Sponsors: IEEE Control Systems Soc2012-01-022012-01-022013-09-05Bibliographically approved