Adaptive pole placement: the division by zero problem

Krzysztof Arent; Iven Mareels; Jan Willem Polderman

doi:10.1109/CDC.1995.478940

Adaptive pole placement: the division by zero problem

Krzysztof Arent
, Iven Mareels
, Jan Willem Polderman

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

108 Downloads (Pure)

Abstract

We re-examine the division by zero problem which occurs in certainty equivalence based indirect adaptive control algorithms applied to linear systems. By exploiting a parametrization for linear systems induced by the continued fraction description of its transfer function, the division by zero problem obtains a very simple geometric representation that can be used to virtually eliminate the problem in the adaptive algorithm

Original language	English
Title of host publication	Proceedings of 1995 34th IEEE Conference on Decision and Control
Place of Publication	Piscataway, NJ, USA
Publisher	IEEE
Pages	498-503
Number of pages	6
Volume	1
ISBN (Print)	9780780326859
DOIs	https://doi.org/10.1109/CDC.1995.478940
Publication status	Published - 13 Dec 1995
Event	34th IEEE Conference on Decision and Control, CDC 1995 - New Orleans, United States Duration: 13 Dec 1995 → 15 Dec 1995 Conference number: 34

Publication series

Name	Proceedings IEEE Conference on Decision and Control
Publisher	IEEE
Volume	1995
ISSN (Print)	0191-2216

Other

Other	34th IEEE Conference on Decision and Control, CDC 1995
Abbreviated title	CDC
Country/Territory	United States
City	New Orleans
Period	13/12/95 → 15/12/95

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10.1109/CDC.1995.478940

Arent1995adaptiveFinal published version, 465 KB

Cite this

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title = "Adaptive pole placement: the division by zero problem",

abstract = "We re-examine the division by zero problem which occurs in certainty equivalence based indirect adaptive control algorithms applied to linear systems. By exploiting a parametrization for linear systems induced by the continued fraction description of its transfer function, the division by zero problem obtains a very simple geometric representation that can be used to virtually eliminate the problem in the adaptive algorithm",

author = "Krzysztof Arent and Iven Mareels and Polderman, \{Jan Willem\}",

year = "1995",

month = dec,

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doi = "10.1109/CDC.1995.478940",

language = "English",

isbn = "9780780326859",

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series = "Proceedings IEEE Conference on Decision and Control",

publisher = "IEEE",

pages = "498--503",

booktitle = "Proceedings of 1995 34th IEEE Conference on Decision and Control",

address = "United States",

note = "34th IEEE Conference on Decision and Control, CDC 1995, CDC ; Conference date: 13-12-1995 Through 15-12-1995",

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Arent, K, Mareels, I & Polderman, JW 1995, Adaptive pole placement: the division by zero problem. in Proceedings of 1995 34th IEEE Conference on Decision and Control. vol. 1, Proceedings IEEE Conference on Decision and Control, vol. 1995, IEEE, Piscataway, NJ, USA, pp. 498-503, 34th IEEE Conference on Decision and Control, CDC 1995, New Orleans, Louisiana, United States, 13/12/95. https://doi.org/10.1109/CDC.1995.478940

Adaptive pole placement: the division by zero problem. / Arent, Krzysztof; Mareels, Iven; Polderman, Jan Willem.
Proceedings of 1995 34th IEEE Conference on Decision and Control. Vol. 1 Piscataway, NJ, USA: IEEE, 1995. p. 498-503 (Proceedings IEEE Conference on Decision and Control; Vol. 1995).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Adaptive pole placement: the division by zero problem

AU - Arent, Krzysztof

AU - Mareels, Iven

AU - Polderman, Jan Willem

N1 - Conference code: 34

PY - 1995/12/13

Y1 - 1995/12/13

N2 - We re-examine the division by zero problem which occurs in certainty equivalence based indirect adaptive control algorithms applied to linear systems. By exploiting a parametrization for linear systems induced by the continued fraction description of its transfer function, the division by zero problem obtains a very simple geometric representation that can be used to virtually eliminate the problem in the adaptive algorithm

AB - We re-examine the division by zero problem which occurs in certainty equivalence based indirect adaptive control algorithms applied to linear systems. By exploiting a parametrization for linear systems induced by the continued fraction description of its transfer function, the division by zero problem obtains a very simple geometric representation that can be used to virtually eliminate the problem in the adaptive algorithm

U2 - 10.1109/CDC.1995.478940

DO - 10.1109/CDC.1995.478940

M3 - Conference contribution

SN - 9780780326859

VL - 1

T3 - Proceedings IEEE Conference on Decision and Control

SP - 498

EP - 503

BT - Proceedings of 1995 34th IEEE Conference on Decision and Control

PB - IEEE

CY - Piscataway, NJ, USA

T2 - 34th IEEE Conference on Decision and Control, CDC 1995

Y2 - 13 December 1995 through 15 December 1995

ER -

Adaptive pole placement: the division by zero problem

Abstract

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