PID controller tuning for desired closed-loop responses for SISO systems using impulse response

Most of the proportional-integral-derivative (PID) controller tuning methods reported in literature are based on the approximate plant models (FOPDT or SOPDT models) derived from the step response of the plant. In this paper, a new method of designing PID controllers using 'impulse response�...

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Main Authors: M., Ramasamy, S., Sundaramoorthy
Format: Article
Language:English
Published: PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND 2008
Subjects:
Online Access:http://scholars.utp.edu.my/id/eprint/2348/
http://scholars.utp.edu.my/id/eprint/2348/1/SAMPLE_PAPER_PDF.pdf
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author M., Ramasamy
S., Sundaramoorthy
author_facet M., Ramasamy
S., Sundaramoorthy
author_sort M., Ramasamy
building UTP Institutional Repository
collection Online Access
description Most of the proportional-integral-derivative (PID) controller tuning methods reported in literature are based on the approximate plant models (FOPDT or SOPDT models) derived from the step response of the plant. In this paper, a new method of designing PID controllers using 'impulse response' instead of 'step response' of the plant is presented. Treating the impulse response of the plant as a statistical distribution, the 'mean' and the 'variance' of the distribution are calculated and used in the calculation of PID controller parameters. Thus, the proposed method requires no approximation of the plant by any model. In this paper, a direct synthesis approach to PID controller design is proposed that makes use of Maclaurin series of the desired closed-loop transfer function, truncated up to the first three terms. PID controller parameters are synthesized to match the closed-loop response of the plant to the desired closed-loop response. Formulae for the calculation of PID controller tuning parameters are derived for the desired closed-loop response models of the types FOPDT and SOPDT. Only stable SISO systems are considered. The PID controllers tuned result in closed-loop responses very close to the desired response and perform equally well compared to other tuning methods reported in literature. (C) 2007 Elsevier Ltd. All rights reserved.
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publishDate 2008
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spelling oai:scholars.utp.edu.my:23482017-01-19T08:26:09Z http://scholars.utp.edu.my/id/eprint/2348/ PID controller tuning for desired closed-loop responses for SISO systems using impulse response M., Ramasamy S., Sundaramoorthy TP Chemical technology Most of the proportional-integral-derivative (PID) controller tuning methods reported in literature are based on the approximate plant models (FOPDT or SOPDT models) derived from the step response of the plant. In this paper, a new method of designing PID controllers using 'impulse response' instead of 'step response' of the plant is presented. Treating the impulse response of the plant as a statistical distribution, the 'mean' and the 'variance' of the distribution are calculated and used in the calculation of PID controller parameters. Thus, the proposed method requires no approximation of the plant by any model. In this paper, a direct synthesis approach to PID controller design is proposed that makes use of Maclaurin series of the desired closed-loop transfer function, truncated up to the first three terms. PID controller parameters are synthesized to match the closed-loop response of the plant to the desired closed-loop response. Formulae for the calculation of PID controller tuning parameters are derived for the desired closed-loop response models of the types FOPDT and SOPDT. Only stable SISO systems are considered. The PID controllers tuned result in closed-loop responses very close to the desired response and perform equally well compared to other tuning methods reported in literature. (C) 2007 Elsevier Ltd. All rights reserved. PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND 2008-08-22 Article PeerReviewed application/pdf en http://scholars.utp.edu.my/id/eprint/2348/1/SAMPLE_PAPER_PDF.pdf M., Ramasamy and S., Sundaramoorthy (2008) PID controller tuning for desired closed-loop responses for SISO systems using impulse response. COMPUTERS & CHEMICAL ENGINEERING , 32 (8 ). 1773-1788 . ISSN 0098-1354 http://apps.isiknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=21&SID=X212JDdPAc7358p5C3D&page=1&doc=1 10.1016/j.compchemeng.2007.08.019 10.1016/j.compchemeng.2007.08.019
spellingShingle TP Chemical technology
M., Ramasamy
S., Sundaramoorthy
PID controller tuning for desired closed-loop responses for SISO systems using impulse response
title PID controller tuning for desired closed-loop responses for SISO systems using impulse response
title_full PID controller tuning for desired closed-loop responses for SISO systems using impulse response
title_fullStr PID controller tuning for desired closed-loop responses for SISO systems using impulse response
title_full_unstemmed PID controller tuning for desired closed-loop responses for SISO systems using impulse response
title_short PID controller tuning for desired closed-loop responses for SISO systems using impulse response
title_sort pid controller tuning for desired closed-loop responses for siso systems using impulse response
topic TP Chemical technology
url http://scholars.utp.edu.my/id/eprint/2348/
http://scholars.utp.edu.my/id/eprint/2348/
http://scholars.utp.edu.my/id/eprint/2348/
http://scholars.utp.edu.my/id/eprint/2348/1/SAMPLE_PAPER_PDF.pdf