Pole structure estimation from laguerre representations using hyperbolic metrics on the unit disc

Alexandros Soumelidis, Ferenc Schipp, J. Bokor

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

11 Citations (Scopus)

Abstract

This paper proposes a new approach to identification of the poles in a linear system from frequency domain data. The discrete rational transfer function is represented in a rational Laguerre-basis, where the basis elements can be 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, leading to a nice geometric interpretation of the identification algorithm. Convergence results in hyperbolic metrics will be given. The full procedure is illustrated by simulation examples.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages2136-2141
Number of pages6
DOIs
Publication statusPublished - 2011
Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
Duration: Dec 12 2011Dec 15 2011

Other

Other2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
CountryUnited States
CityOrlando, FL
Period12/12/1112/15/11

Fingerprint

Hyperbolic Metric
Unit Disk
Pole
Poles
Lobachevskian geometry
Rational functions
Rational function
Convergence Results
Transfer Function
Congruence
Transfer functions
Frequency Domain
Linear systems
Identification (control systems)
Linear Systems
Transform
Geometry
Simulation
Model
Interpretation

ASJC Scopus subject areas

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

Cite this

Soumelidis, A., Schipp, F., & Bokor, J. (2011). Pole structure estimation from laguerre representations using hyperbolic metrics on the unit disc. In Proceedings of the IEEE Conference on Decision and Control (pp. 2136-2141). [6160657] https://doi.org/10.1109/CDC.2011.6160657

Pole structure estimation from laguerre representations using hyperbolic metrics on the unit disc. / Soumelidis, Alexandros; Schipp, Ferenc; Bokor, J.

Proceedings of the IEEE Conference on Decision and Control. 2011. p. 2136-2141 6160657.

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

Soumelidis, A, Schipp, F & Bokor, J 2011, Pole structure estimation from laguerre representations using hyperbolic metrics on the unit disc. in Proceedings of the IEEE Conference on Decision and Control., 6160657, pp. 2136-2141, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6160657
Soumelidis A, Schipp F, Bokor J. Pole structure estimation from laguerre representations using hyperbolic metrics on the unit disc. In Proceedings of the IEEE Conference on Decision and Control. 2011. p. 2136-2141. 6160657 https://doi.org/10.1109/CDC.2011.6160657
Soumelidis, Alexandros ; Schipp, Ferenc ; Bokor, J. / Pole structure estimation from laguerre representations using hyperbolic metrics on the unit disc. Proceedings of the IEEE Conference on Decision and Control. 2011. pp. 2136-2141
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