Controller Synthesis to Render a Closed Loop Transfer Function Strongly Strictly Negative Imaginary

Gabriela Salcan-Reyes; Alexander Lanzon; Ian R. Petersen

doi:10.1109/CDC.2018.8619279

Controller Synthesis to Render a Closed Loop Transfer Function Strongly Strictly Negative Imaginary

Gabriela Salcan-Reyes, Alexander Lanzon, Ian R. Petersen

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

2 Citations (Scopus)

Abstract

In this paper, we show that there exists an alternative transformation from the class of negative imaginary to the class of positive real systems. We use this to offer a solution to the problem of designing a controller such that the closed loop is strongly strictly negative imaginary and its associated linear fractional interconnection is internally stable.

Original language	English
Title of host publication	2018 IEEE Conference on Decision and Control, CDC 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2988-2993
Number of pages	6
ISBN (Electronic)	9781538613955
DOIs	https://doi.org/10.1109/CDC.2018.8619279
Publication status	Published - 2 Jul 2018
Event	57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States Duration: 17 Dec 2018 → 19 Dec 2018

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2018-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	57th IEEE Conference on Decision and Control, CDC 2018
Country/Territory	United States
City	Miami
Period	17/12/18 → 19/12/18

Access to Document

10.1109/CDC.2018.8619279

Cite this

Salcan-Reyes, G., Lanzon, A., & Petersen, I. R. (2018). Controller Synthesis to Render a Closed Loop Transfer Function Strongly Strictly Negative Imaginary. In 2018 IEEE Conference on Decision and Control, CDC 2018 (pp. 2988-2993). Article 8619279 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2018.8619279

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title = "Controller Synthesis to Render a Closed Loop Transfer Function Strongly Strictly Negative Imaginary",

abstract = "In this paper, we show that there exists an alternative transformation from the class of negative imaginary to the class of positive real systems. We use this to offer a solution to the problem of designing a controller such that the closed loop is strongly strictly negative imaginary and its associated linear fractional interconnection is internally stable.",

author = "Gabriela Salcan-Reyes and Alexander Lanzon and Petersen, {Ian R.}",

note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 57th IEEE Conference on Decision and Control, CDC 2018 ; Conference date: 17-12-2018 Through 19-12-2018",

year = "2018",

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doi = "10.1109/CDC.2018.8619279",

language = "English",

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Salcan-Reyes, G, Lanzon, A & Petersen, IR 2018, Controller Synthesis to Render a Closed Loop Transfer Function Strongly Strictly Negative Imaginary. in 2018 IEEE Conference on Decision and Control, CDC 2018., 8619279, Proceedings of the IEEE Conference on Decision and Control, vol. 2018-December, Institute of Electrical and Electronics Engineers Inc., pp. 2988-2993, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, United States, 17/12/18. https://doi.org/10.1109/CDC.2018.8619279

Controller Synthesis to Render a Closed Loop Transfer Function Strongly Strictly Negative Imaginary. / Salcan-Reyes, Gabriela; Lanzon, Alexander; Petersen, Ian R.
2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 2988-2993 8619279 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December).

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

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AU - Petersen, Ian R.

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AB - In this paper, we show that there exists an alternative transformation from the class of negative imaginary to the class of positive real systems. We use this to offer a solution to the problem of designing a controller such that the closed loop is strongly strictly negative imaginary and its associated linear fractional interconnection is internally stable.

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U2 - 10.1109/CDC.2018.8619279

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M3 - Conference contribution

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BT - 2018 IEEE Conference on Decision and Control, CDC 2018

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 57th IEEE Conference on Decision and Control, CDC 2018

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Salcan-Reyes G, Lanzon A, Petersen IR. Controller Synthesis to Render a Closed Loop Transfer Function Strongly Strictly Negative Imaginary. In 2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 2988-2993. 8619279. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2018.8619279

Controller Synthesis to Render a Closed Loop Transfer Function Strongly Strictly Negative Imaginary

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