Realizing system poles identification on the unit disc based on Laguerre representations and hyperbolic metrics

Alexandros Soumelidis, József Bokor, Ferenc Schipp

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

6 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 Poincaré 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. In this paper the opportunities of reliably computing the poles are analyzed, and some algorithms are proposed for practical use.

Original languageEnglish
Title of host publication2013 21st Mediterranean Conference on Control and Automation, MED 2013 - Conference Proceedings
Pages1208-1213
Number of pages6
DOIs
Publication statusPublished - Oct 15 2013
Event2013 21st Mediterranean Conference on Control and Automation, MED 2013 - Platanias-Chania, Crete, Greece
Duration: Jun 25 2013Jun 28 2013

Publication series

Name2013 21st Mediterranean Conference on Control and Automation, MED 2013 - Conference Proceedings

Other

Other2013 21st Mediterranean Conference on Control and Automation, MED 2013
CountryGreece
CityPlatanias-Chania, Crete
Period6/25/136/28/13

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ASJC Scopus subject areas

  • Artificial Intelligence
  • Control and Systems Engineering

Cite this

Soumelidis, A., Bokor, J., & Schipp, F. (2013). Realizing system poles identification on the unit disc based on Laguerre representations and hyperbolic metrics. In 2013 21st Mediterranean Conference on Control and Automation, MED 2013 - Conference Proceedings (pp. 1208-1213). [6608873] (2013 21st Mediterranean Conference on Control and Automation, MED 2013 - Conference Proceedings). https://doi.org/10.1109/MED.2013.6608873