An Effective Method for Evaluation of the Nonlinear Output Frequency Response Functions from System Input-Output Data

S. R.A.S. Gunawardena; Z. Q. Lang

doi:10.1109/CONTROL.2018.8516850

An Effective Method for Evaluation of the Nonlinear Output Frequency Response Functions from System Input-Output Data

S. R.A.S. Gunawardena, Z. Q. Lang

University of Sheffield

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

1 Citation (Scopus)

Abstract

The concept of Nonlinear Output Frequency Response Functions (NOFRFs) was introduced in [1] for the analysis of nonlinear systems in the frequency domain where a least-squares (LS) method was proposed for the evaluation of the NOFRFs using system input-output data. However, this leastsquares (LS) based approach may experience numerical errors due to matrix inversion and consequently cannot produce accurate NOFRFs sometimes. In order to mitigate this problem, in the present study, a modified LS method (M-LS) is proposed to make sure that the information matrix to be inverted for the LS solution is appropriately constructed so as to improve the condition number of the information matrix and reduce the numerical errors. Simulation results have demonstrated the effectiveness of the newly proposed method and indicated that the new method will enable a more accurate evaluation of the NOFRFs and facilitate the frequency analysis of nonlinear systems directly using system input-output data.

Original language	English
Title of host publication	2018 UKACC 12th International Conference on Control, CONTROL 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	134-139
Number of pages	6
ISBN (Electronic)	978-1-5386-2864-5
ISBN (Print)	978-1-5090-6411-3
DOIs	https://doi.org/10.1109/CONTROL.2018.8516850
Publication status	Published - 1 Nov 2018
Externally published	Yes
Event	UKACC 12th International Conference on Control 2018 - Sheffield, United Kingdom Duration: 5 Sept 2018 → 7 Sept 2018 Conference number: 12 https://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=8491726

Conference

Conference	UKACC 12th International Conference on Control 2018
Abbreviated title	CONTROL 2018
Country/Territory	United Kingdom
City	Sheffield
Period	5/09/18 → 7/09/18
Internet address	https://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=8491726

Keywords

Frequency response function
NOFRFs
Nonlinear system

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization

Access to Document

10.1109/CONTROL.2018.8516850

Cite this

An Effective Method for Evaluation of the Nonlinear Output Frequency Response Functions from System Input-Output Data. / Gunawardena, S. R.A.S.; Lang, Z. Q.
2018 UKACC 12th International Conference on Control, CONTROL 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 134-139 8516850.

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

Gunawardena, SRAS & Lang, ZQ 2018, An Effective Method for Evaluation of the Nonlinear Output Frequency Response Functions from System Input-Output Data. in 2018 UKACC 12th International Conference on Control, CONTROL 2018., 8516850, Institute of Electrical and Electronics Engineers Inc., pp. 134-139, UKACC 12th International Conference on Control 2018, Sheffield, United Kingdom, 5/09/18. https://doi.org/10.1109/CONTROL.2018.8516850

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An Effective Method for Evaluation of the Nonlinear Output Frequency Response Functions from System Input-Output Data

Abstract

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