An iterative identification of pole-stucture in dynamic systems based on hyperbolic metrics and Malmquist-Takenaka representation

Alexandros Soumelidis, József Bokor, Ferenc Schipp

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

2 Citations (Scopus)

Abstract

In a series of paper the authors proposed a new frequency-domain approach to identify poles in discrete- Time linear systems. The discrete rational transfer function is represented in a rational Laguerre-basis, where the basis elements are expressed by powers of the Blaschke-function. This function can be interpreted as a congruence transform on the Poincaŕe unit disc model of the hyperbolic geometry. The identification of a pole is given as a hyperbolic transform of the limit of a quotient-sequence formed from the Laguerre-Fourier coefficients. This paper extends this approach by defining an iterative procedure to explore the pole structure. This is based on the successive elimination of the already identified poles by using the Malmquist-Takenaka representation of the discrete transfer function. The proposed procedure is suitable not only for structure estimation with no need of a priori assumption on the pole locations but knowing the poles it serves also as a basis for linear estimation of the residues or numerator coefficients in a rational orthogonal basis.

Original languageEnglish
Title of host publication2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5180-5185
Number of pages6
ISBN (Print)9781467357173
DOIs
Publication statusPublished - Jan 1 2013
Event52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
Duration: Dec 10 2013Dec 13 2013

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other52nd IEEE Conference on Decision and Control, CDC 2013
CountryItaly
CityFlorence
Period12/10/1312/13/13

    Fingerprint

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

Soumelidis, A., Bokor, J., & Schipp, F. (2013). An iterative identification of pole-stucture in dynamic systems based on hyperbolic metrics and Malmquist-Takenaka representation. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013 (pp. 5180-5185). [6760703] (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2013.6760703