The parametric characteristic of frequency response functions for nonlinear systems

Xing Jian JING; Zi Qiang LANG; Stephen A. BILLINGS; Geofrey R. TOMLINSON

doi:10.1080/00207170600861019

Author(s)

Xing Jian JING
Zi Qiang LANG
Stephen A. BILLINGS
Geofrey R. TOMLINSON

Detail(s)

Original language	English
Pages (from-to)	1552-1564
Journal / Publication	International Journal of Control
Volume	79
Issue number	12
Publication status	Published - Dec 2006
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1080/00207170600861019 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-33747589871&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(1c4e8dd7-489a-4ac4-a677-022456a50696).html

Abstract

The characteristic of the frequency response functions of nonlinear systems can be revealed and analyzed by analyzing of the parametric characteristics of these functions. To achieve these objectives, a new operator is defined, and several fundamental and important results about the parametric characteristics of the frequency response functions of nonlinear systems are developed. These theoretical results provide a significant and novel insight into the frequency domain characteristics of nonlinear systems and circumvent a large amount of complicated integral and symbolic calculations which have previously been required to perform nonlinear system frequency domain analysis. Several new results for the analysis and synthesis of nonlinear systems are also developed. Examples are included to illustrate potential applications of the new results.

Research Area(s)

MAGNITUDE CHARACTERISTICS, DOMAIN, COMPUTATION

Citation Format(s)

[ RIS ] [ BibTeX ]

The parametric characteristic of frequency response functions for nonlinear systems. / JING, Xing Jian; LANG, Zi Qiang; BILLINGS, Stephen A. et al.
In: International Journal of Control, Vol. 79, No. 12, 12.2006, p. 1552-1564.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

JING, XJ, LANG, ZQ, BILLINGS, SA & TOMLINSON, GR 2006, 'The parametric characteristic of frequency response functions for nonlinear systems', International Journal of Control, vol. 79, no. 12, pp. 1552-1564. https://doi.org/10.1080/00207170600861019

JING, X. J., LANG, Z. Q., BILLINGS, S. A., & TOMLINSON, G. R. (2006). The parametric characteristic of frequency response functions for nonlinear systems. International Journal of Control, 79(12), 1552-1564. https://doi.org/10.1080/00207170600861019

JING XJ, LANG ZQ, BILLINGS SA, TOMLINSON GR. The parametric characteristic of frequency response functions for nonlinear systems. International Journal of Control. 2006 Dec;79(12):1552-1564. doi: 10.1080/00207170600861019

JING, Xing Jian ; LANG, Zi Qiang ; BILLINGS, Stephen A. et al. / The parametric characteristic of frequency response functions for nonlinear systems. In: International Journal of Control. 2006 ; Vol. 79, No. 12. pp. 1552-1564.