v-Analysis: A New Notion of Robustness for Large Systems with Structured Uncertainties

Olle Kjellqvist; John C. Doyle

doi:10.1109/CDC51059.2022.9992640

v-Analysis: A New Notion of Robustness for Large Systems with Structured Uncertainties

Olle Kjellqvist, John C. Doyle

California Institute of Technology

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

Abstract

We present a new, scalable alternative to the structured singular value, which we call v, provide a convex upper bound, study their properties and compare them to l1 robust control. The analysis relies on a novel result on the relationship between robust control of dynamical systems and non-negative constant matrices.

Original language	English
Title of host publication	2022 IEEE 61st Conference on Decision and Control, CDC 2022
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
Pages	2361-2366
Number of pages	6
ISBN (Electronic)	9781665467612
DOIs	https://doi.org/10.1109/CDC51059.2022.9992640
Publication status	Published - 2022
Event	61st IEEE Conference on Decision and Control, CDC 2022 - Cancun, Mexico Duration: 2022 Dec 6 → 2022 Dec 9

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2022-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	61st IEEE Conference on Decision and Control, CDC 2022
Country/Territory	Mexico
City	Cancun
Period	2022/12/06 → 2022/12/09

Subject classification (UKÄ)

Electrical Engineering, Electronic Engineering, Information Engineering

Access to Document

10.1109/CDC51059.2022.9992640

1 Licentiate Thesis

On Control and Estimation of Large and Uncertain Systems
Kjellqvist, O., 2022 Dec 14, 132 p.
Research output: Thesis › Licentiate Thesis

Open Access
File

Cite this

Kjellqvist, O., & Doyle, J. C. (2022). v-Analysis: A New Notion of Robustness for Large Systems with Structured Uncertainties. In 2022 IEEE 61st Conference on Decision and Control, CDC 2022 (pp. 2361-2366). (Proceedings of the IEEE Conference on Decision and Control; Vol. 2022-December). IEEE - Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC51059.2022.9992640

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title = "v-Analysis: A New Notion of Robustness for Large Systems with Structured Uncertainties",

abstract = "We present a new, scalable alternative to the structured singular value, which we call v, provide a convex upper bound, study their properties and compare them to l1 robust control. The analysis relies on a novel result on the relationship between robust control of dynamical systems and non-negative constant matrices.",

author = "Olle Kjellqvist and Doyle, {John C.}",

year = "2022",

doi = "10.1109/CDC51059.2022.9992640",

language = "English",

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

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

pages = "2361--2366",

booktitle = "2022 IEEE 61st Conference on Decision and Control, CDC 2022",

address = "United States",

note = "61st IEEE Conference on Decision and Control, CDC 2022 ; Conference date: 06-12-2022 Through 09-12-2022",

}

Kjellqvist, O & Doyle, JC 2022, v-Analysis: A New Notion of Robustness for Large Systems with Structured Uncertainties. in 2022 IEEE 61st Conference on Decision and Control, CDC 2022. Proceedings of the IEEE Conference on Decision and Control, vol. 2022-December, IEEE - Institute of Electrical and Electronics Engineers Inc., pp. 2361-2366, 61st IEEE Conference on Decision and Control, CDC 2022, Cancun, Mexico, 2022/12/06. https://doi.org/10.1109/CDC51059.2022.9992640

v-Analysis: A New Notion of Robustness for Large Systems with Structured Uncertainties. / Kjellqvist, Olle; Doyle, John C.
2022 IEEE 61st Conference on Decision and Control, CDC 2022. IEEE - Institute of Electrical and Electronics Engineers Inc., 2022. p. 2361-2366 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2022-December).

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

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T1 - v-Analysis

T2 - 61st IEEE Conference on Decision and Control, CDC 2022

AU - Kjellqvist, Olle

AU - Doyle, John C.

PY - 2022

Y1 - 2022

N2 - We present a new, scalable alternative to the structured singular value, which we call v, provide a convex upper bound, study their properties and compare them to l1 robust control. The analysis relies on a novel result on the relationship between robust control of dynamical systems and non-negative constant matrices.

AB - We present a new, scalable alternative to the structured singular value, which we call v, provide a convex upper bound, study their properties and compare them to l1 robust control. The analysis relies on a novel result on the relationship between robust control of dynamical systems and non-negative constant matrices.

U2 - 10.1109/CDC51059.2022.9992640

DO - 10.1109/CDC51059.2022.9992640

M3 - Paper in conference proceeding

AN - SCOPUS:85146969429

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 2361

EP - 2366

BT - 2022 IEEE 61st Conference on Decision and Control, CDC 2022

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

Y2 - 6 December 2022 through 9 December 2022

ER -

v-Analysis: A New Notion of Robustness for Large Systems with Structured Uncertainties

Abstract

Publication series

Conference

Subject classification (UKÄ)

Access to Document

Fingerprint

Research output

On Control and Estimation of Large and Uncertain Systems

Cite this