Robustness of nonlinear parameter identification in the presence of process noise using control-based continuation

Sandor Beregi; David A.W. Barton; Djamel Rezgui; Simon A. Neild

doi:10.1007/s11071-021-06347-w

Robustness of nonlinear parameter identification in the presence of process noise using control-based continuation

Sandor Beregi^*, David A.W. Barton, Djamel Rezgui, Simon A. Neild

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

16 Citations (Scopus)

Abstract

In this study, we consider the experimentally obtained, periodically forced response of a nonlinear structure in the presence of process noise. Control-based continuation is used to measure both the stable and unstable periodic solutions, while different levels of noise are injected into the system. Using these data, the robustness of the control-based continuation algorithm and its ability to capture the noise-free system response are assessed by identifying the parameters of an associated Duffing-like model. We demonstrate that control-based continuation extracts system information more robustly, in the presence of a high level of noise, than open-loop parameter sweeps and so is a valuable tool for investigating nonlinear structures.

Original language	English
Pages (from-to)	885-900
Number of pages	16
Journal	Nonlinear Dynamics
Volume	104
Issue number	2
DOIs	https://doi.org/10.1007/s11071-021-06347-w
Publication status	Published - 25 Mar 2021

Bibliographical note

Funding Information:
This research has received funding from the Next-generation test methods for nonlinear structures (EP/P019323/1) and the Digital twins for improved dynamic design (EP/R006768/1) EPSRC grants. The support of the EPSRC is greatly acknowledged.

Publisher Copyright:
© 2021, The Author(s).

Research Groups and Themes

Engineering Mathematics Research Group

Keywords

Control-based continuation
Nonlinear physical oscillator
Parameter identification
Process noise

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title = "Robustness of nonlinear parameter identification in the presence of process noise using control-based continuation",

abstract = "In this study, we consider the experimentally obtained, periodically forced response of a nonlinear structure in the presence of process noise. Control-based continuation is used to measure both the stable and unstable periodic solutions, while different levels of noise are injected into the system. Using these data, the robustness of the control-based continuation algorithm and its ability to capture the noise-free system response are assessed by identifying the parameters of an associated Duffing-like model. We demonstrate that control-based continuation extracts system information more robustly, in the presence of a high level of noise, than open-loop parameter sweeps and so is a valuable tool for investigating nonlinear structures.",

keywords = "Control-based continuation, Nonlinear physical oscillator, Parameter identification, Process noise",

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note = "Funding Information: This research has received funding from the Next-generation test methods for nonlinear structures (EP/P019323/1) and the Digital twins for improved dynamic design (EP/R006768/1) EPSRC grants. The support of the EPSRC is greatly acknowledged. Publisher Copyright: {\textcopyright} 2021, The Author(s).",

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doi = "10.1007/s11071-021-06347-w",

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AU - Beregi, Sandor

AU - Barton, David A.W.

AU - Rezgui, Djamel

AU - Neild, Simon A.

N1 - Funding Information: This research has received funding from the Next-generation test methods for nonlinear structures (EP/P019323/1) and the Digital twins for improved dynamic design (EP/R006768/1) EPSRC grants. The support of the EPSRC is greatly acknowledged. Publisher Copyright: © 2021, The Author(s).

PY - 2021/3/25

Y1 - 2021/3/25

N2 - In this study, we consider the experimentally obtained, periodically forced response of a nonlinear structure in the presence of process noise. Control-based continuation is used to measure both the stable and unstable periodic solutions, while different levels of noise are injected into the system. Using these data, the robustness of the control-based continuation algorithm and its ability to capture the noise-free system response are assessed by identifying the parameters of an associated Duffing-like model. We demonstrate that control-based continuation extracts system information more robustly, in the presence of a high level of noise, than open-loop parameter sweeps and so is a valuable tool for investigating nonlinear structures.

AB - In this study, we consider the experimentally obtained, periodically forced response of a nonlinear structure in the presence of process noise. Control-based continuation is used to measure both the stable and unstable periodic solutions, while different levels of noise are injected into the system. Using these data, the robustness of the control-based continuation algorithm and its ability to capture the noise-free system response are assessed by identifying the parameters of an associated Duffing-like model. We demonstrate that control-based continuation extracts system information more robustly, in the presence of a high level of noise, than open-loop parameter sweeps and so is a valuable tool for investigating nonlinear structures.

KW - Control-based continuation

KW - Nonlinear physical oscillator

KW - Parameter identification

KW - Process noise

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DO - 10.1007/s11071-021-06347-w

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SN - 0924-090X

VL - 104

SP - 885

EP - 900

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 2

ER -

Robustness of nonlinear parameter identification in the presence of process noise using control-based continuation

Abstract

Bibliographical note

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Keywords

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