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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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
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spelling doaj-9741e1e100424db4abf5865a70ab99182020-11-25T01:25:46ZengSAGE PublishingMeasurement + Control0020-29401978-08-011110.1177/002029407801100804Closed Loop Transient Response from the Open Loop Frequency ResponseE.C. Hind0 Senior Lecturer, School of Mechanical and Industrial Engineering, The University of New South Wales, AustraliaA 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.https://doi.org/10.1177/002029407801100804
collection DOAJ
language English
format Article
sources DOAJ
author E.C. Hind
spellingShingle E.C. Hind
Closed Loop Transient Response from the Open Loop Frequency Response
Measurement + Control
author_facet E.C. Hind
author_sort E.C. Hind
title Closed Loop Transient Response from the Open Loop Frequency Response
title_short Closed Loop Transient Response from the Open Loop Frequency Response
title_full Closed Loop Transient Response from the Open Loop Frequency Response
title_fullStr Closed Loop Transient Response from the Open Loop Frequency Response
title_full_unstemmed Closed Loop Transient Response from the Open Loop Frequency Response
title_sort closed loop transient response from the open loop frequency response
publisher SAGE Publishing
series Measurement + Control
issn 0020-2940
publishDate 1978-08-01
description 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.
url https://doi.org/10.1177/002029407801100804
work_keys_str_mv AT echind closedlooptransientresponsefromtheopenloopfrequencyresponse
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