Robust mean square stability

Yuanji Zou; Nicola Elia

doi:10.23919/ECC55457.2022.9838390

Robust mean square stability

Yuanji Zou, Nicola Elia

Electrical and Computer Engineering

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

Abstract

In this paper, we formalize the Robust Mean Square Stability problem in the presence of deterministic LTI perturbations. In particular, we extend the robust stability notion of μ to include both deterministic and stochastic uncertainties and provide a computable sufficient condition that guarantees Robust Mean Square Stability of the closed-loop. We use an inverted pendulum example where the sensor is subject to link/attention dropout and find the trade-off between the amount of attention and fragility to model uncertainty expressed as the size of the disk margin.

Original language	English (US)
Title of host publication	2022 European Control Conference, ECC 2022
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1623-1628
Number of pages	6
ISBN (Electronic)	9783907144077
DOIs	https://doi.org/10.23919/ECC55457.2022.9838390
State	Published - 2022
Event	2022 European Control Conference, ECC 2022 - London, United Kingdom Duration: Jul 12 2022 → Jul 15 2022

Publication series

Name	2022 European Control Conference, ECC 2022

Conference

Conference	2022 European Control Conference, ECC 2022
Country/Territory	United Kingdom
City	London
Period	7/12/22 → 7/15/22

Bibliographical note

Funding Information:
Yuanji Zou is with Department of Mechanical Engineering, University of Minnesota, 55455, USA [email protected] N. Elia is with Department of Electrical and Computer Engineering, University of Minnesota, 55455, USA [email protected] This work has been supported by the Dept. of Electrical and Computer Engineering, University of Minnesota

Publisher Copyright:
© 2022 EUCA.

Keywords

network system
robust control
stochastic system

Publisher link

10.23919/ECC55457.2022.9838390

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title = "Robust mean square stability",

abstract = "In this paper, we formalize the Robust Mean Square Stability problem in the presence of deterministic LTI perturbations. In particular, we extend the robust stability notion of μ to include both deterministic and stochastic uncertainties and provide a computable sufficient condition that guarantees Robust Mean Square Stability of the closed-loop. We use an inverted pendulum example where the sensor is subject to link/attention dropout and find the trade-off between the amount of attention and fragility to model uncertainty expressed as the size of the disk margin.",

keywords = "network system, robust control, stochastic system",

author = "Yuanji Zou and Nicola Elia",

note = "Funding Information: Yuanji Zou is with Department of Mechanical Engineering, University of Minnesota, 55455, USA [email protected] N. Elia is with Department of Electrical and Computer Engineering, University of Minnesota, 55455, USA [email protected] This work has been supported by the Dept. of Electrical and Computer Engineering, University of Minnesota Publisher Copyright: {\textcopyright} 2022 EUCA.; 2022 European Control Conference, ECC 2022 ; Conference date: 12-07-2022 Through 15-07-2022",

year = "2022",

doi = "10.23919/ECC55457.2022.9838390",

language = "English (US)",

series = "2022 European Control Conference, ECC 2022",

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

pages = "1623--1628",

booktitle = "2022 European Control Conference, ECC 2022",

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TY - GEN

T1 - Robust mean square stability

AU - Zou, Yuanji

AU - Elia, Nicola

N1 - Funding Information: Yuanji Zou is with Department of Mechanical Engineering, University of Minnesota, 55455, USA [email protected] N. Elia is with Department of Electrical and Computer Engineering, University of Minnesota, 55455, USA [email protected] This work has been supported by the Dept. of Electrical and Computer Engineering, University of Minnesota Publisher Copyright: © 2022 EUCA.

PY - 2022

Y1 - 2022

N2 - In this paper, we formalize the Robust Mean Square Stability problem in the presence of deterministic LTI perturbations. In particular, we extend the robust stability notion of μ to include both deterministic and stochastic uncertainties and provide a computable sufficient condition that guarantees Robust Mean Square Stability of the closed-loop. We use an inverted pendulum example where the sensor is subject to link/attention dropout and find the trade-off between the amount of attention and fragility to model uncertainty expressed as the size of the disk margin.

AB - In this paper, we formalize the Robust Mean Square Stability problem in the presence of deterministic LTI perturbations. In particular, we extend the robust stability notion of μ to include both deterministic and stochastic uncertainties and provide a computable sufficient condition that guarantees Robust Mean Square Stability of the closed-loop. We use an inverted pendulum example where the sensor is subject to link/attention dropout and find the trade-off between the amount of attention and fragility to model uncertainty expressed as the size of the disk margin.

KW - network system

KW - robust control

KW - stochastic system

UR - http://www.scopus.com/inward/record.url?scp=85136658857&partnerID=8YFLogxK

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U2 - 10.23919/ECC55457.2022.9838390

DO - 10.23919/ECC55457.2022.9838390

M3 - Conference contribution

AN - SCOPUS:85136658857

T3 - 2022 European Control Conference, ECC 2022

SP - 1623

EP - 1628

BT - 2022 European Control Conference, ECC 2022

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2022 European Control Conference, ECC 2022

Y2 - 12 July 2022 through 15 July 2022

ER -

Robust mean square stability

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