Control-based tracking of nonlinear oscillations

J Sieber; B Krauskopf

Control-based tracking of nonlinear oscillations

J Sieber, B Krauskopf

Department of Engineering Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

Abstract

We demonstrate a method for tracking oscillations and their stability boundaries (bifurcations) in nonlinear systems. Our method does not require an underlying model of the dynamical system but instead relies on feedback stabilizability. This gives the approach the potential to transfer the full power of numerical bifurcation analysis techniques from the purely computational domain to real-life experiments.

Translated title of the contribution	Control-based tracking of nonlinear oscillations
Original language	English
Title of host publication	EUROMECH Colloquium 483: Geometrically Non-linear Vibrations of Structures
Publication status	Published - Mar 2007

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Name and Venue of Event: Porto, Portugal

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http://rose.bris.ac.uk/dspace/handle/1983/913

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1 Working paper

Control-based tracking of nonlinear oscillations
Sieber, J. & Krauskopf, B., Mar 2007.
Research output: Working paper

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@inproceedings{f5fac77d1b9c4ab3928aebc9670c3483,

title = "Control-based tracking of nonlinear oscillations",

abstract = "We demonstrate a method for tracking oscillations and their stability boundaries (bifurcations) in nonlinear systems. Our method does not require an underlying model of the dynamical system but instead relies on feedback stabilizability. This gives the approach the potential to transfer the full power of numerical bifurcation analysis techniques from the purely computational domain to real-life experiments.",

author = "J Sieber and B Krauskopf",

note = "Name and Venue of Event: Porto, Portugal",

year = "2007",

month = mar,

language = "English",

booktitle = "EUROMECH Colloquium 483: Geometrically Non-linear Vibrations of Structures",

}

TY - GEN

T1 - Control-based tracking of nonlinear oscillations

AU - Sieber, J

AU - Krauskopf, B

N1 - Name and Venue of Event: Porto, Portugal

PY - 2007/3

Y1 - 2007/3

N2 - We demonstrate a method for tracking oscillations and their stability boundaries (bifurcations) in nonlinear systems. Our method does not require an underlying model of the dynamical system but instead relies on feedback stabilizability. This gives the approach the potential to transfer the full power of numerical bifurcation analysis techniques from the purely computational domain to real-life experiments.

AB - We demonstrate a method for tracking oscillations and their stability boundaries (bifurcations) in nonlinear systems. Our method does not require an underlying model of the dynamical system but instead relies on feedback stabilizability. This gives the approach the potential to transfer the full power of numerical bifurcation analysis techniques from the purely computational domain to real-life experiments.

M3 - Conference Contribution (Conference Proceeding)

BT - EUROMECH Colloquium 483: Geometrically Non-linear Vibrations of Structures

ER -

Control-based tracking of nonlinear oscillations

Abstract

Bibliographical note

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Research output

Control-based tracking of nonlinear oscillations

Cite this