Model reduction for linear parameter-varying systems through parameter projection

S. Schouten; Daming Lou; Siep Weiland

doi:10.1109/CDC40024.2019.9029318

Model reduction for linear parameter-varying systems through parameter projection

S. Schouten, Daming Lou, Siep Weiland

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

2 Citations (Scopus)

Abstract

For affine linear parameter-varying (LPV) systems, this paper develops two parameter reduction methods for reducing the dimension of the parameter space. The first method achieves the complexity reduction by transforming the affine LPV system into a parameter-ordered form and establishing an affine upper bound of the system Gramians, which is extended to time-varying rate-bounded parameters. The second method is based on considering the sensitivity function of the transfer function and time evolution equations. Both methods are applied to an academic example and a thermal model. Simulation results together with some analysis are given.

Original language	English
Title of host publication	58th IEEE Conference on Decision and Control, (CDC2019)
Publisher	Institute of Electrical and Electronics Engineers
Pages	7800-7805
Number of pages	6
ISBN (Electronic)	9781728113982
ISBN (Print)	978-1-7281-1398-2
DOIs	https://doi.org/10.1109/CDC40024.2019.9029318
Publication status	Published - 15 Dec 2019
Event	58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France, Nice, France Duration: 11 Dec 2019 → 13 Dec 2019 Conference number: 58 https://cdc2019.ieeecss.org/

Conference

Conference	58th IEEE Conference on Decision and Control, CDC 2019
Abbreviated title	CDC 2019
Country/Territory	France
City	Nice
Period	11/12/19 → 13/12/19
Internet address	https://cdc2019.ieeecss.org/

Keywords

Parameter reduction
Hankel norm model reduction

Access to Document

10.1109/CDC40024.2019.9029318

Cite this

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title = "Model reduction for linear parameter-varying systems through parameter projection",

abstract = "For affine linear parameter-varying (LPV) systems, this paper develops two parameter reduction methods for reducing the dimension of the parameter space. The first method achieves the complexity reduction by transforming the affine LPV system into a parameter-ordered form and establishing an affine upper bound of the system Gramians, which is extended to time-varying rate-bounded parameters. The second method is based on considering the sensitivity function of the transfer function and time evolution equations. Both methods are applied to an academic example and a thermal model. Simulation results together with some analysis are given.",

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Schouten, S, Lou, D & Weiland, S 2019, Model reduction for linear parameter-varying systems through parameter projection. in 58th IEEE Conference on Decision and Control, (CDC2019)., 9029318, Institute of Electrical and Electronics Engineers, pp. 7800-7805, 58th IEEE Conference on Decision and Control, CDC 2019, Nice, France, 11/12/19. https://doi.org/10.1109/CDC40024.2019.9029318

Model reduction for linear parameter-varying systems through parameter projection. / Schouten, S.; Lou, Daming; Weiland, Siep.
58th IEEE Conference on Decision and Control, (CDC2019). Institute of Electrical and Electronics Engineers, 2019. p. 7800-7805 9029318.

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

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AU - Lou, Daming

AU - Weiland, Siep

N1 - Conference code: 58

PY - 2019/12/15

Y1 - 2019/12/15

N2 - For affine linear parameter-varying (LPV) systems, this paper develops two parameter reduction methods for reducing the dimension of the parameter space. The first method achieves the complexity reduction by transforming the affine LPV system into a parameter-ordered form and establishing an affine upper bound of the system Gramians, which is extended to time-varying rate-bounded parameters. The second method is based on considering the sensitivity function of the transfer function and time evolution equations. Both methods are applied to an academic example and a thermal model. Simulation results together with some analysis are given.

AB - For affine linear parameter-varying (LPV) systems, this paper develops two parameter reduction methods for reducing the dimension of the parameter space. The first method achieves the complexity reduction by transforming the affine LPV system into a parameter-ordered form and establishing an affine upper bound of the system Gramians, which is extended to time-varying rate-bounded parameters. The second method is based on considering the sensitivity function of the transfer function and time evolution equations. Both methods are applied to an academic example and a thermal model. Simulation results together with some analysis are given.

KW - Parameter reduction

KW - Hankel norm model reduction

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U2 - 10.1109/CDC40024.2019.9029318

DO - 10.1109/CDC40024.2019.9029318

M3 - Conference contribution

SN - 978-1-7281-1398-2

SP - 7800

EP - 7805

BT - 58th IEEE Conference on Decision and Control, (CDC2019)

PB - Institute of Electrical and Electronics Engineers

T2 - 58th IEEE Conference on Decision and Control, CDC 2019

Y2 - 11 December 2019 through 13 December 2019

ER -

Model reduction for linear parameter-varying systems through parameter projection

Abstract

Conference

Keywords

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