Achieving diagonal dominance for TITO systems using diagonal controllers

Ilhan Mutlu; Mehmet Turan Soylemez

doi:10.1109/ECC.2015.7330985

Achieving diagonal dominance for TITO systems using diagonal controllers

Ilhan Mutlu^*, Mehmet Turan Soylemez

^*Corresponding author for this work

Department of Control and Automation Engineering

Istanbul Technical University

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

1 Citation (Scopus)

Abstract

In this study, diagonal dominance of two input two output systems are discussed by considering the standard and weighted diagonal dominance conditions separately. In addition, sufficient conditions using static diagonal controllers are derived for fixed frequencies. Derived results can be easily extended for a given frequency range. An algorithm is proposed to determine static controller gain regions. Furthermore, by using the derived results, an optimization based method is proposed to determine dynamic diagonal controllers that achieve diagonal dominance conditions for static controllers. Lastly, case studies are included to verify the effectiveness of the proposed methods.

Original language	English
Title of host publication	2015 European Control Conference, ECC 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2946-2951
Number of pages	6
ISBN (Electronic)	9783952426937
DOIs	https://doi.org/10.1109/ECC.2015.7330985
Publication status	Published - 16 Nov 2015
Event	European Control Conference, ECC 2015 - Linz, Austria Duration: 15 Jul 2015 → 17 Jul 2015

Publication series

Name	2015 European Control Conference, ECC 2015

Conference

Conference	European Control Conference, ECC 2015
Country/Territory	Austria
City	Linz
Period	15/07/15 → 17/07/15

Bibliographical note

Publisher Copyright:
© 2015 EUCA.

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10.1109/ECC.2015.7330985

Cite this

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title = "Achieving diagonal dominance for TITO systems using diagonal controllers",

abstract = "In this study, diagonal dominance of two input two output systems are discussed by considering the standard and weighted diagonal dominance conditions separately. In addition, sufficient conditions using static diagonal controllers are derived for fixed frequencies. Derived results can be easily extended for a given frequency range. An algorithm is proposed to determine static controller gain regions. Furthermore, by using the derived results, an optimization based method is proposed to determine dynamic diagonal controllers that achieve diagonal dominance conditions for static controllers. Lastly, case studies are included to verify the effectiveness of the proposed methods.",

author = "Ilhan Mutlu and Soylemez, {Mehmet Turan}",

note = "Publisher Copyright: {\textcopyright} 2015 EUCA.; European Control Conference, ECC 2015 ; Conference date: 15-07-2015 Through 17-07-2015",

year = "2015",

month = nov,

day = "16",

doi = "10.1109/ECC.2015.7330985",

language = "English",

series = "2015 European Control Conference, ECC 2015",

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

pages = "2946--2951",

booktitle = "2015 European Control Conference, ECC 2015",

address = "United States",

}

Mutlu, I & Soylemez, MT 2015, Achieving diagonal dominance for TITO systems using diagonal controllers. in 2015 European Control Conference, ECC 2015., 7330985, 2015 European Control Conference, ECC 2015, Institute of Electrical and Electronics Engineers Inc., pp. 2946-2951, European Control Conference, ECC 2015, Linz, Austria, 15/07/15. https://doi.org/10.1109/ECC.2015.7330985

Achieving diagonal dominance for TITO systems using diagonal controllers. / Mutlu, Ilhan; Soylemez, Mehmet Turan.
2015 European Control Conference, ECC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 2946-2951 7330985 (2015 European Control Conference, ECC 2015).

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

TY - GEN

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AU - Soylemez, Mehmet Turan

PY - 2015/11/16

Y1 - 2015/11/16

N2 - In this study, diagonal dominance of two input two output systems are discussed by considering the standard and weighted diagonal dominance conditions separately. In addition, sufficient conditions using static diagonal controllers are derived for fixed frequencies. Derived results can be easily extended for a given frequency range. An algorithm is proposed to determine static controller gain regions. Furthermore, by using the derived results, an optimization based method is proposed to determine dynamic diagonal controllers that achieve diagonal dominance conditions for static controllers. Lastly, case studies are included to verify the effectiveness of the proposed methods.

AB - In this study, diagonal dominance of two input two output systems are discussed by considering the standard and weighted diagonal dominance conditions separately. In addition, sufficient conditions using static diagonal controllers are derived for fixed frequencies. Derived results can be easily extended for a given frequency range. An algorithm is proposed to determine static controller gain regions. Furthermore, by using the derived results, an optimization based method is proposed to determine dynamic diagonal controllers that achieve diagonal dominance conditions for static controllers. Lastly, case studies are included to verify the effectiveness of the proposed methods.

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DO - 10.1109/ECC.2015.7330985

M3 - Conference contribution

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T3 - 2015 European Control Conference, ECC 2015

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BT - 2015 European Control Conference, ECC 2015

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - European Control Conference, ECC 2015

Y2 - 15 July 2015 through 17 July 2015

ER -

Achieving diagonal dominance for TITO systems using diagonal controllers

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