Exact time response computation of control systems with fractional order lag and lead compensators
In this paper, two exact methods are developed for the computation of unit step and unit impulse responses of closed loop control systems with fractional order lag and lead compensators. The methods are based on using the frequency response data of the closed loop fractional order control system. It...
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ftinonuuniv:oai:abakus.inonu.edu.tr:11616/14193 2023-05-15T17:33:12+02:00 Exact time response computation of control systems with fractional order lag and lead compensators Tan, N. Atherton, DP Yüce, A. Deniz, FN İnönü Üniversitesi 2016 http://hdl.handle.net/11616/14193 eng eng North Atlantic University Unio International Journal of Circuits, Systems and Signal Processing Tan, N. Atherton, D.P. Yuce, A. Deniz, F.N. (2016). Exact time response computation of control systems with fractional order lag and lead compensators. Cilt:10. 260-268 ss. http://hdl.handle.net/11616/14193 10 0 260 268 info:eu-repo/semantics/restrictedAccess Fractional order control system Fractional order lag and lead compensators Frequency response Impulse response Step response Time response Time response from frequency response article 2016 ftinonuuniv 2022-03-28T19:53:55Z In this paper, two exact methods are developed for the computation of unit step and unit impulse responses of closed loop control systems with fractional order lag and lead compensators. The methods are based on using the frequency response data of the closed loop fractional order control system. It is shown that the unit step and unit impulse responses of a feedback control system including a fractional order lag or lead controller can be computed exactly using Fourier series of a square wave and inverse Fourier transform of frequency response information namely gain and phase values. Time response equations which are the function of controller parameters are derived. A design procedure is given for estimating the parameters of a fractional order lag or lead compensator which give specified performance values of the closed loop system. Numerical examples are provided to show the success of the presented method. © 2016, North Atlantic University Union. All rights reserved. Article in Journal/Newspaper North Atlantic Unknown |
institution |
Open Polar |
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op_collection_id |
ftinonuuniv |
language |
English |
topic |
Fractional order control system Fractional order lag and lead compensators Frequency response Impulse response Step response Time response Time response from frequency response |
spellingShingle |
Fractional order control system Fractional order lag and lead compensators Frequency response Impulse response Step response Time response Time response from frequency response Tan, N. Atherton, DP Yüce, A. Deniz, FN Exact time response computation of control systems with fractional order lag and lead compensators |
topic_facet |
Fractional order control system Fractional order lag and lead compensators Frequency response Impulse response Step response Time response Time response from frequency response |
description |
In this paper, two exact methods are developed for the computation of unit step and unit impulse responses of closed loop control systems with fractional order lag and lead compensators. The methods are based on using the frequency response data of the closed loop fractional order control system. It is shown that the unit step and unit impulse responses of a feedback control system including a fractional order lag or lead controller can be computed exactly using Fourier series of a square wave and inverse Fourier transform of frequency response information namely gain and phase values. Time response equations which are the function of controller parameters are derived. A design procedure is given for estimating the parameters of a fractional order lag or lead compensator which give specified performance values of the closed loop system. Numerical examples are provided to show the success of the presented method. © 2016, North Atlantic University Union. All rights reserved. |
author2 |
İnönü Üniversitesi |
format |
Article in Journal/Newspaper |
author |
Tan, N. Atherton, DP Yüce, A. Deniz, FN |
author_facet |
Tan, N. Atherton, DP Yüce, A. Deniz, FN |
author_sort |
Tan, N. |
title |
Exact time response computation of control systems with fractional order lag and lead compensators |
title_short |
Exact time response computation of control systems with fractional order lag and lead compensators |
title_full |
Exact time response computation of control systems with fractional order lag and lead compensators |
title_fullStr |
Exact time response computation of control systems with fractional order lag and lead compensators |
title_full_unstemmed |
Exact time response computation of control systems with fractional order lag and lead compensators |
title_sort |
exact time response computation of control systems with fractional order lag and lead compensators |
publisher |
North Atlantic University Unio |
publishDate |
2016 |
url |
http://hdl.handle.net/11616/14193 |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_relation |
International Journal of Circuits, Systems and Signal Processing Tan, N. Atherton, D.P. Yuce, A. Deniz, F.N. (2016). Exact time response computation of control systems with fractional order lag and lead compensators. Cilt:10. 260-268 ss. http://hdl.handle.net/11616/14193 10 0 260 268 |
op_rights |
info:eu-repo/semantics/restrictedAccess |
_version_ |
1766131619182149632 |