System identification using associated linear equations

J. A. Vazquez Feijoo; K. Worden; R. Stanway

doi:10.1016/S0888-3270(03)00078-5

System identification using associated linear equations

J. A. Vazquez Feijoo, K. Worden, R. Stanway

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

In this paper, analytical models of non-linear systems are obtained by identifying the frequency response functions (FRFs) of their associated linear equations (ALEs). This allows the use of several methods of identification in the frequency domain usually applicable to linear systems. Among other advantages, the cumbersome multidimensional Fourier Transformation required in higher-order frequency response functions (HFRFs) analysis is eliminated. Two theoretical systems are used here as examples, an electrostrictive actuator and a Duffing oscillator. The concept of the non-linear gain constant arises as a simple means of identification.

Original language	English
Pages (from-to)	431-455
Number of pages	25
Journal	Mechanical Systems and Signal Processing
Volume	18
Issue number	3
DOIs	https://doi.org/10.1016/S0888-3270(03)00078-5
State	Published - May 2004
Externally published	Yes

Keywords

Associated linear equations
Higher-order frequency response function
Non-linear systems
System identification
Volterra series

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10.1016/S0888-3270(03)00078-5

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title = "System identification using associated linear equations",

abstract = "In this paper, analytical models of non-linear systems are obtained by identifying the frequency response functions (FRFs) of their associated linear equations (ALEs). This allows the use of several methods of identification in the frequency domain usually applicable to linear systems. Among other advantages, the cumbersome multidimensional Fourier Transformation required in higher-order frequency response functions (HFRFs) analysis is eliminated. Two theoretical systems are used here as examples, an electrostrictive actuator and a Duffing oscillator. The concept of the non-linear gain constant arises as a simple means of identification.",

keywords = "Associated linear equations, Higher-order frequency response function, Non-linear systems, System identification, Volterra series",

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AU - Vazquez Feijoo, J. A.

AU - Worden, K.

AU - Stanway, R.

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N2 - In this paper, analytical models of non-linear systems are obtained by identifying the frequency response functions (FRFs) of their associated linear equations (ALEs). This allows the use of several methods of identification in the frequency domain usually applicable to linear systems. Among other advantages, the cumbersome multidimensional Fourier Transformation required in higher-order frequency response functions (HFRFs) analysis is eliminated. Two theoretical systems are used here as examples, an electrostrictive actuator and a Duffing oscillator. The concept of the non-linear gain constant arises as a simple means of identification.

AB - In this paper, analytical models of non-linear systems are obtained by identifying the frequency response functions (FRFs) of their associated linear equations (ALEs). This allows the use of several methods of identification in the frequency domain usually applicable to linear systems. Among other advantages, the cumbersome multidimensional Fourier Transformation required in higher-order frequency response functions (HFRFs) analysis is eliminated. Two theoretical systems are used here as examples, an electrostrictive actuator and a Duffing oscillator. The concept of the non-linear gain constant arises as a simple means of identification.

KW - Associated linear equations

KW - Higher-order frequency response function

KW - Non-linear systems

KW - System identification

KW - Volterra series

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U2 - 10.1016/S0888-3270(03)00078-5

DO - 10.1016/S0888-3270(03)00078-5

M3 - Artículo

SN - 0888-3270

VL - 18

SP - 431

EP - 455

JO - Mechanical Systems and Signal Processing

JF - Mechanical Systems and Signal Processing

IS - 3

ER -

System identification using associated linear equations

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Keywords

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