Convex formulations for data-based uncertainty minimization of linear uncertainty models

Kurt Erik Häggblom

doi:10.1109/ICARCV.2010.5707895

Convex formulations for data-based uncertainty minimization of linear uncertainty models

Kurt Erik Häggblom

Tutkimustuotos: Artikkeli kirjassa/raportissa/konferenssijulkaisussa › Konferenssiartikkeli › Tieteellinen › vertaisarvioitu

5 Sitaatiot (Scopus)

87 Lataukset (Pure)

Abstrakti

Convex formulations are derived for the minimization of uncertainty bounds with respect to a nominal model and given input-output data for general uncertainty models of LFT type. The known data give rise to data-matching conditions that have to be satisfied. It is shown how these conditions, which originally are in the form of BMIs for a number of uncertainty models, can be transformed to LMIs, thus making the optimization problem convex. These formulations make it easy to find the best uncertainty model from a number of alternatives for robust control design.

Alkuperäiskieli	Ei tiedossa
Otsikko	The 11th International Conference on Control, Automation, Robotics and Vision
Kustantaja	IEEE
Sivut	501–505
ISBN (elektroninen)	978-1-4244-7815-6
ISBN (painettu)	978-1-4244-7814-9
DOI - pysyväislinkit	https://doi.org/10.1109/ICARCV.2010.5707895
Tila	Julkaistu - 2010
OKM-julkaisutyyppi	A4 Artikkeli konferenssijulkaisuussa
Tapahtuma	conference; 2010-12-07; 2010-12-10 - 11th International Conference on Control, Automation, Robotics and Vision (ICARCV 2010) Kesto: 7 jouluk. 2010 → 10 jouluk. 2010

Konferenssi

Konferenssi	conference; 2010-12-07; 2010-12-10
Ajanjakso	07/12/10 → 10/12/10

Keywords

Convex optimization
Distillation columns
LFT uncertainty
Linear matrix inequalities
Linear multivariable systems
Robust control
Uncertainty modeling

Pääsy asiakirjaan

10.1109/ICARCV.2010.5707895

PID1502521.pdf

http://ieeexplore.ieee.org/document/5707895/

Viittausmuodot

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title = "Convex formulations for data-based uncertainty minimization of linear uncertainty models",

abstract = "Convex formulations are derived for the minimization of uncertainty bounds with respect to a nominal model and given input-output data for general uncertainty models of LFT type. The known data give rise to data-matching conditions that have to be satisfied. It is shown how these conditions, which originally are in the form of BMIs for a number of uncertainty models, can be transformed to LMIs, thus making the optimization problem convex. These formulations make it easy to find the best uncertainty model from a number of alternatives for robust control design.",

keywords = "Convex optimization, Distillation columns, LFT uncertainty, Linear matrix inequalities, Linear multivariable systems, Robust control, Uncertainty modeling, Convex optimization, Distillation columns, LFT uncertainty, Linear matrix inequalities, Linear multivariable systems, Robust control, Uncertainty modeling, Convex optimization, Distillation columns, LFT uncertainty, Linear matrix inequalities, Linear multivariable systems, Robust control, Uncertainty modeling",

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year = "2010",

doi = "10.1109/ICARCV.2010.5707895",

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isbn = "978-1-4244-7814-9",

pages = "501{\textendash}505",

booktitle = "The 11th International Conference on Control, Automation, Robotics and Vision",

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AB - Convex formulations are derived for the minimization of uncertainty bounds with respect to a nominal model and given input-output data for general uncertainty models of LFT type. The known data give rise to data-matching conditions that have to be satisfied. It is shown how these conditions, which originally are in the form of BMIs for a number of uncertainty models, can be transformed to LMIs, thus making the optimization problem convex. These formulations make it easy to find the best uncertainty model from a number of alternatives for robust control design.

KW - Convex optimization

KW - Distillation columns

KW - LFT uncertainty

KW - Linear matrix inequalities

KW - Linear multivariable systems

KW - Robust control

KW - Uncertainty modeling

KW - Convex optimization

KW - Distillation columns

KW - LFT uncertainty

KW - Linear matrix inequalities

KW - Linear multivariable systems

KW - Robust control

KW - Uncertainty modeling

KW - Convex optimization

KW - Distillation columns

KW - LFT uncertainty

KW - Linear matrix inequalities

KW - Linear multivariable systems

KW - Robust control

KW - Uncertainty modeling

U2 - 10.1109/ICARCV.2010.5707895

DO - 10.1109/ICARCV.2010.5707895

M3 - Publicerad konferensartikel

SN - 978-1-4244-7814-9

SP - 501

EP - 505

BT - The 11th International Conference on Control, Automation, Robotics and Vision

PB - IEEE

T2 - conference; 2010-12-07; 2010-12-10

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ER -