### 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 language | English |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Pages | 2136-2141 |

Number of pages | 6 |

DOIs | |

Publication status | Published - 2011 |

Event | 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: Dec 12 2011 → Dec 15 2011 |

### Other

Other | 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 |
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Country | United States |

City | Orlando, FL |

Period | 12/12/11 → 12/15/11 |

### Fingerprint

### ASJC Scopus subject areas

- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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

}

TY - GEN

T1 - Pole structure estimation from laguerre representations using hyperbolic metrics on the unit disc

AU - Soumelidis, Alexandros

AU - Schipp, Ferenc

AU - Bokor, J.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84860663606&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84860663606&partnerID=8YFLogxK

U2 - 10.1109/CDC.2011.6160657

DO - 10.1109/CDC.2011.6160657

M3 - Conference contribution

AN - SCOPUS:84860663606

SN - 9781612848006

SP - 2136

EP - 2141

BT - Proceedings of the IEEE Conference on Decision and Control

ER -