Douce, J. L., Widanage, W. D. and Godfrey, K. R.. (2007) Evaluation of the relationship between gain and phase using extrapolation techniques. IET Control Theory and Applications, Vol.1 (No.4). pp. 1122-1130. ISSN 1751-8644

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Abstract

The relationships between the magnitude and phase of the frequency response of a stable linear minimum phase system have been examined by several authors, including Bode, and they prove valuable in the design of a wide range of systems. It is shown that direct application of the expressions to estimate either the phase response from a known gain response, or the gain response from a known phase response, can lead to rather inaccurate results. It is also shown that the accuracy can be significantly improved using appropriate extrapolation of the relevant expressions and functions at high and low frequencies. A range of numerical examples demonstrates the improved accuracy as the extrapolation process is refined, and provides a comparison with the situation where the initial given data are not limited in bandwidth.

Item Type:	Journal Article
Subjects:	T Technology > TL Motor vehicles. Aeronautics. Astronautics T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions:	Faculty of Science > Engineering
Journal or Publication Title:	IET Control Theory and Applications
Publisher:	Institution of Engineering and Technology
ISSN:	1751-8644
Date:	July 2007
Volume:	Vol.1
Number:	No.4
Number of Pages:	9
Page Range:	pp. 1122-1130
Identification Number:	10.1049/iet-cta:20060333
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
URI:	http://wrap.warwick.ac.uk/id/eprint/31518

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