Nonlinear analysis for verifying closed-loop stability before inserting a new controller

Sung H. Cha; Arvin Dehghani; Brian D.O. Anderson

doi:10.23919/ecc.2009.7074551

Nonlinear analysis for verifying closed-loop stability before inserting a new controller

Sung H. Cha^*, Arvin Dehghani, Brian D.O. Anderson

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

Suppose a nonlinear plant is stabilized by a nonlinear controller, and further assume that the plant is unknown but the controller is known. Suppose also that the use of a new controller appears attractive. This paper extends our results for linear time-invariant systems and proposes novel nonlinear analysis results, utilizing the kernel representation of nonlinear systems, for ensuring that the introduction of the new nonlinear controller will stabilize the plant.

Original language	English
Title of host publication	2009 European Control Conference (EEC)
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1095-1100
Number of pages	6
ISBN (Electronic)	978-3-9524173-9-3
DOIs	https://doi.org/10.23919/ecc.2009.7074551
Publication status	Published - 26 Mar 2014
Event	10th European Control Conference: ECC 2009 - Budapest, Hungary Duration: 23 Aug 2009 → 26 Aug 2009 Conference number: 10th http://ieeexplore.ieee.org/document/7074402/ http://ieeexplore.ieee.org/document/7074461/

Conference

Conference	10th European Control Conference: ECC 2009
Abbreviated title	ECC
Country/Territory	Hungary
City	Budapest
Period	23/08/09 → 26/08/09
Internet address	http://ieeexplore.ieee.org/document/7074402/ http://ieeexplore.ieee.org/document/7074461/

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10.23919/ecc.2009.7074551

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title = "Nonlinear analysis for verifying closed-loop stability before inserting a new controller",

abstract = "Suppose a nonlinear plant is stabilized by a nonlinear controller, and further assume that the plant is unknown but the controller is known. Suppose also that the use of a new controller appears attractive. This paper extends our results for linear time-invariant systems and proposes novel nonlinear analysis results, utilizing the kernel representation of nonlinear systems, for ensuring that the introduction of the new nonlinear controller will stabilize the plant.",

author = "Cha, {Sung H.} and Arvin Dehghani and Anderson, {Brian D.O.}",

note = "Publisher Copyright: {\textcopyright} 2009 EUCA.; 10th European Control Conference: ECC 2009, ECC ; Conference date: 23-08-2009 Through 26-08-2009",

year = "2014",

month = mar,

day = "26",

doi = "10.23919/ecc.2009.7074551",

language = "English",

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booktitle = "2009 European Control Conference (EEC)",

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

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}

Cha, SH, Dehghani, A & Anderson, BDO 2014, Nonlinear analysis for verifying closed-loop stability before inserting a new controller. in 2009 European Control Conference (EEC)., 7074551, Institute of Electrical and Electronics Engineers Inc., pp. 1095-1100, 10th European Control Conference: ECC 2009, Budapest, Hungary, 23/08/09. https://doi.org/10.23919/ecc.2009.7074551

Nonlinear analysis for verifying closed-loop stability before inserting a new controller. / Cha, Sung H.; Dehghani, Arvin; Anderson, Brian D.O.
2009 European Control Conference (EEC). Institute of Electrical and Electronics Engineers Inc., 2014. p. 1095-1100 7074551.

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

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AU - Dehghani, Arvin

AU - Anderson, Brian D.O.

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PY - 2014/3/26

Y1 - 2014/3/26

N2 - Suppose a nonlinear plant is stabilized by a nonlinear controller, and further assume that the plant is unknown but the controller is known. Suppose also that the use of a new controller appears attractive. This paper extends our results for linear time-invariant systems and proposes novel nonlinear analysis results, utilizing the kernel representation of nonlinear systems, for ensuring that the introduction of the new nonlinear controller will stabilize the plant.

AB - Suppose a nonlinear plant is stabilized by a nonlinear controller, and further assume that the plant is unknown but the controller is known. Suppose also that the use of a new controller appears attractive. This paper extends our results for linear time-invariant systems and proposes novel nonlinear analysis results, utilizing the kernel representation of nonlinear systems, for ensuring that the introduction of the new nonlinear controller will stabilize the plant.

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DO - 10.23919/ecc.2009.7074551

M3 - Conference contribution

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BT - 2009 European Control Conference (EEC)

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 10th European Control Conference: ECC 2009

Y2 - 23 August 2009 through 26 August 2009

ER -

Nonlinear analysis for verifying closed-loop stability before inserting a new controller

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