Synthesis of parameter-dependent controllers yielding affine-in-parameters characteristic polynomials

Hynek Procházka; Alexander Lanzon; Brian D.O. Anderson

doi:10.1109/cdc.2006.376741

Synthesis of parameter-dependent controllers yielding affine-in-parameters characteristic polynomials

Hynek Procházka^*, Alexander Lanzon, Brian D.O. Anderson

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

The problem considered is that of designing a parameter-dependent linear controller for a parameter-dependent linear plant, where the parameter may be time-varying. The set of controllers considered is restricted to those which ensure the closed-loop characteristic polynomial is affine in the parameter. This allows stability results for the case when the parameter is time-varying to be inferred from stability properties applying for time-frozen values of the parameter. The proposed design procedures and conditions for a parameter-dependent controller design are illustrated on a practical design problem.

Original language	English
Title of host publication	Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5832-5838
Number of pages	7
ISBN (Print)	1424401712, 9781424401710
DOIs	https://doi.org/10.1109/cdc.2006.376741
Publication status	Published - 2006
Event	45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States Duration: 13 Dec 2006 → 15 Dec 2006

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	45th IEEE Conference on Decision and Control 2006, CDC
Country/Territory	United States
City	San Diego, CA
Period	13/12/06 → 15/12/06

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10.1109/cdc.2006.376741

Cite this

Procházka, H., Lanzon, A., & Anderson, B. D. O. (2006). Synthesis of parameter-dependent controllers yielding affine-in-parameters characteristic polynomials. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC (pp. 5832-5838). Article 4177281 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/cdc.2006.376741

Procházka, Hynek ; Lanzon, Alexander ; Anderson, Brian D.O. / Synthesis of parameter-dependent controllers yielding affine-in-parameters characteristic polynomials. Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. Institute of Electrical and Electronics Engineers Inc., 2006. pp. 5832-5838 (Proceedings of the IEEE Conference on Decision and Control).

@inproceedings{5d88aff3106e41bf9c69eec8c5d23107,

title = "Synthesis of parameter-dependent controllers yielding affine-in-parameters characteristic polynomials",

abstract = "The problem considered is that of designing a parameter-dependent linear controller for a parameter-dependent linear plant, where the parameter may be time-varying. The set of controllers considered is restricted to those which ensure the closed-loop characteristic polynomial is affine in the parameter. This allows stability results for the case when the parameter is time-varying to be inferred from stability properties applying for time-frozen values of the parameter. The proposed design procedures and conditions for a parameter-dependent controller design are illustrated on a practical design problem.",

author = "Hynek Proch{\'a}zka and Alexander Lanzon and Anderson, {Brian D.O.}",

year = "2006",

doi = "10.1109/cdc.2006.376741",

language = "English",

isbn = "1424401712",

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

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "5832--5838",

booktitle = "Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC",

address = "United States",

note = "45th IEEE Conference on Decision and Control 2006, CDC ; Conference date: 13-12-2006 Through 15-12-2006",

}

Procházka, H, Lanzon, A & Anderson, BDO 2006, Synthesis of parameter-dependent controllers yielding affine-in-parameters characteristic polynomials. in Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC., 4177281, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 5832-5838, 45th IEEE Conference on Decision and Control 2006, CDC, San Diego, CA, United States, 13/12/06. https://doi.org/10.1109/cdc.2006.376741

Synthesis of parameter-dependent controllers yielding affine-in-parameters characteristic polynomials. / Procházka, Hynek; Lanzon, Alexander; Anderson, Brian D.O.
Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. Institute of Electrical and Electronics Engineers Inc., 2006. p. 5832-5838 4177281 (Proceedings of the IEEE Conference on Decision and Control).

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

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T1 - Synthesis of parameter-dependent controllers yielding affine-in-parameters characteristic polynomials

AU - Procházka, Hynek

AU - Lanzon, Alexander

AU - Anderson, Brian D.O.

PY - 2006

Y1 - 2006

N2 - The problem considered is that of designing a parameter-dependent linear controller for a parameter-dependent linear plant, where the parameter may be time-varying. The set of controllers considered is restricted to those which ensure the closed-loop characteristic polynomial is affine in the parameter. This allows stability results for the case when the parameter is time-varying to be inferred from stability properties applying for time-frozen values of the parameter. The proposed design procedures and conditions for a parameter-dependent controller design are illustrated on a practical design problem.

AB - The problem considered is that of designing a parameter-dependent linear controller for a parameter-dependent linear plant, where the parameter may be time-varying. The set of controllers considered is restricted to those which ensure the closed-loop characteristic polynomial is affine in the parameter. This allows stability results for the case when the parameter is time-varying to be inferred from stability properties applying for time-frozen values of the parameter. The proposed design procedures and conditions for a parameter-dependent controller design are illustrated on a practical design problem.

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DO - 10.1109/cdc.2006.376741

M3 - Conference contribution

SN - 1424401712

SN - 9781424401710

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 5832

EP - 5838

BT - Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 45th IEEE Conference on Decision and Control 2006, CDC

Y2 - 13 December 2006 through 15 December 2006

ER -

Procházka H, Lanzon A, Anderson BDO. Synthesis of parameter-dependent controllers yielding affine-in-parameters characteristic polynomials. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. Institute of Electrical and Electronics Engineers Inc. 2006. p. 5832-5838. 4177281. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/cdc.2006.376741

Synthesis of parameter-dependent controllers yielding affine-in-parameters characteristic polynomials

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