Closed Loop Transient Response from the Open Loop Frequency Response

A method is shown for relating the closed loop transient response to the open loop frequency response, which is based on the use of the contour of constant closed loop phase angle, α = −90°. The method primarily yields a second order model of the closed loop system which covers the full range of rel...

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Bibliographic Details
Main Author: E.C. Hind
Format: Article
Language:English
Published: SAGE Publishing 1978-08-01
Series:Measurement + Control
Online Access:https://doi.org/10.1177/002029407801100804
Description
Summary:A method is shown for relating the closed loop transient response to the open loop frequency response, which is based on the use of the contour of constant closed loop phase angle, α = −90°. The method primarily yields a second order model of the closed loop system which covers the full range of relative damping (0 < ζ < +∞). A first order model is recommended when prescribed conditions apply. The method is simpler and yields better results than currently used methods. In all cases it is assumed that the negative feedback loop has a transfer function of unity and that the closed loop system is stable.
ISSN:0020-2940