New tuning formulas for a nonlinear PID control scheme
Many processes operated in chemical process industries show time-varying and highly nonlinear characteristics. This paper proposes an enhanced nonlinear PID (NPID) controller for the improvement of setpoint tracking or disturbance rejection responses and new tuning formulas for a FOPTD process model...
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Veröffentlicht in: | International journal of system assurance engineering and management 2023-12, Vol.14 (6), p.2470-2484 |
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creator | Son, Yung-Deug Jin, Gang-Gyoo Yetayew, Tefera T. Pal, Pikaso |
description | Many processes operated in chemical process industries show time-varying and highly nonlinear characteristics. This paper proposes an enhanced nonlinear PID (NPID) controller for the improvement of setpoint tracking or disturbance rejection responses and new tuning formulas for a FOPTD process model. The NPID controller has a structure with a first-order filter in the derivative term to avoid possible Derivative Kick. The parameters of the NPID controller are expressed in terms of the ratio
L
/
τ
of the time delay
L
to the time constant
τ
in the process by using the dimensionless approach. Repeated optimizations are performed for each value over the ranges of 0.01 to 1 and 1 to 3 of
L
/
τ
and over the ranges of 5 to 30 of the filter parameter N to obtain the average of optimal parameter values that minimize the integral of absolute error performance criterion. By using the least-squares method with together the calculated optimal values and the rule formulas, the tuning rules are obtained. A set of simulation works on the five processes are carried out to demonstrate tracking and disturbance performance and robustness against the noise of this approach. |
doi_str_mv | 10.1007/s13198-023-02094-w |
format | Article |
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L
/
τ
of the time delay
L
to the time constant
τ
in the process by using the dimensionless approach. Repeated optimizations are performed for each value over the ranges of 0.01 to 1 and 1 to 3 of
L
/
τ
and over the ranges of 5 to 30 of the filter parameter N to obtain the average of optimal parameter values that minimize the integral of absolute error performance criterion. By using the least-squares method with together the calculated optimal values and the rule formulas, the tuning rules are obtained. A set of simulation works on the five processes are carried out to demonstrate tracking and disturbance performance and robustness against the noise of this approach.</description><identifier>ISSN: 0975-6809</identifier><identifier>EISSN: 0976-4348</identifier><identifier>DOI: 10.1007/s13198-023-02094-w</identifier><language>eng</language><publisher>New Delhi: Springer India</publisher><subject>Chemical process industries ; Controllers ; Engineering ; Engineering Economics ; Least squares method ; Logistics ; Marketing ; Nonlinear control ; Organization ; Original Article ; Parameters ; Proportional integral derivative ; Quality Control ; Reliability ; Safety and Risk ; Time constant ; Time lag ; Tracking ; Tuning</subject><ispartof>International journal of system assurance engineering and management, 2023-12, Vol.14 (6), p.2470-2484</ispartof><rights>The Author(s) under exclusive licence to The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c270t-d689dde30b9473ec58b0962af6df592e28c37524869231ecbe727f9a4104b75b3</cites><orcidid>0000-0001-9491-8362</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s13198-023-02094-w$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s13198-023-02094-w$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51297</link.rule.ids></links><search><creatorcontrib>Son, Yung-Deug</creatorcontrib><creatorcontrib>Jin, Gang-Gyoo</creatorcontrib><creatorcontrib>Yetayew, Tefera T.</creatorcontrib><creatorcontrib>Pal, Pikaso</creatorcontrib><title>New tuning formulas for a nonlinear PID control scheme</title><title>International journal of system assurance engineering and management</title><addtitle>Int J Syst Assur Eng Manag</addtitle><description>Many processes operated in chemical process industries show time-varying and highly nonlinear characteristics. This paper proposes an enhanced nonlinear PID (NPID) controller for the improvement of setpoint tracking or disturbance rejection responses and new tuning formulas for a FOPTD process model. The NPID controller has a structure with a first-order filter in the derivative term to avoid possible Derivative Kick. The parameters of the NPID controller are expressed in terms of the ratio
L
/
τ
of the time delay
L
to the time constant
τ
in the process by using the dimensionless approach. Repeated optimizations are performed for each value over the ranges of 0.01 to 1 and 1 to 3 of
L
/
τ
and over the ranges of 5 to 30 of the filter parameter N to obtain the average of optimal parameter values that minimize the integral of absolute error performance criterion. By using the least-squares method with together the calculated optimal values and the rule formulas, the tuning rules are obtained. A set of simulation works on the five processes are carried out to demonstrate tracking and disturbance performance and robustness against the noise of this approach.</description><subject>Chemical process industries</subject><subject>Controllers</subject><subject>Engineering</subject><subject>Engineering Economics</subject><subject>Least squares method</subject><subject>Logistics</subject><subject>Marketing</subject><subject>Nonlinear control</subject><subject>Organization</subject><subject>Original Article</subject><subject>Parameters</subject><subject>Proportional integral derivative</subject><subject>Quality Control</subject><subject>Reliability</subject><subject>Safety and Risk</subject><subject>Time constant</subject><subject>Time lag</subject><subject>Tracking</subject><subject>Tuning</subject><issn>0975-6809</issn><issn>0976-4348</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLAzEUhYMoWGr_gKuA6-jNY_JYSn20UNSFrkMmk6kt00xNZij-e6cdwZ2LyzmLc86FD6FrCrcUQN1lyqnRBBgfDowghzM0AaMkEVzo85MviNRgLtEs5y0AUEYFEzBB8iUccNfHTVzjuk27vnH5aLDDsY3NJgaX8NvyAfs2dqltcPafYReu0EXtmhxmvzpFH0-P7_MFWb0-L-f3K-KZgo5UUpuqChxKIxQPvtAlGMlcLau6MCww7bkqmNDSME6DL4NiqjZOUBClKko-RTfj7j61X33Ind22fYrDS8u0ARBKaTWk2Jjyqc05hdru02bn0relYI-I7IjIDojsCZE9DCU-lvIQjuuQ_qb_af0AfL1n7g</recordid><startdate>20231201</startdate><enddate>20231201</enddate><creator>Son, Yung-Deug</creator><creator>Jin, Gang-Gyoo</creator><creator>Yetayew, Tefera T.</creator><creator>Pal, Pikaso</creator><general>Springer India</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0001-9491-8362</orcidid></search><sort><creationdate>20231201</creationdate><title>New tuning formulas for a nonlinear PID control scheme</title><author>Son, Yung-Deug ; Jin, Gang-Gyoo ; Yetayew, Tefera T. ; Pal, Pikaso</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-d689dde30b9473ec58b0962af6df592e28c37524869231ecbe727f9a4104b75b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Chemical process industries</topic><topic>Controllers</topic><topic>Engineering</topic><topic>Engineering Economics</topic><topic>Least squares method</topic><topic>Logistics</topic><topic>Marketing</topic><topic>Nonlinear control</topic><topic>Organization</topic><topic>Original Article</topic><topic>Parameters</topic><topic>Proportional integral derivative</topic><topic>Quality Control</topic><topic>Reliability</topic><topic>Safety and Risk</topic><topic>Time constant</topic><topic>Time lag</topic><topic>Tracking</topic><topic>Tuning</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Son, Yung-Deug</creatorcontrib><creatorcontrib>Jin, Gang-Gyoo</creatorcontrib><creatorcontrib>Yetayew, Tefera T.</creatorcontrib><creatorcontrib>Pal, Pikaso</creatorcontrib><collection>CrossRef</collection><jtitle>International journal of system assurance engineering and management</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Son, Yung-Deug</au><au>Jin, Gang-Gyoo</au><au>Yetayew, Tefera T.</au><au>Pal, Pikaso</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>New tuning formulas for a nonlinear PID control scheme</atitle><jtitle>International journal of system assurance engineering and management</jtitle><stitle>Int J Syst Assur Eng Manag</stitle><date>2023-12-01</date><risdate>2023</risdate><volume>14</volume><issue>6</issue><spage>2470</spage><epage>2484</epage><pages>2470-2484</pages><issn>0975-6809</issn><eissn>0976-4348</eissn><abstract>Many processes operated in chemical process industries show time-varying and highly nonlinear characteristics. This paper proposes an enhanced nonlinear PID (NPID) controller for the improvement of setpoint tracking or disturbance rejection responses and new tuning formulas for a FOPTD process model. The NPID controller has a structure with a first-order filter in the derivative term to avoid possible Derivative Kick. The parameters of the NPID controller are expressed in terms of the ratio
L
/
τ
of the time delay
L
to the time constant
τ
in the process by using the dimensionless approach. Repeated optimizations are performed for each value over the ranges of 0.01 to 1 and 1 to 3 of
L
/
τ
and over the ranges of 5 to 30 of the filter parameter N to obtain the average of optimal parameter values that minimize the integral of absolute error performance criterion. By using the least-squares method with together the calculated optimal values and the rule formulas, the tuning rules are obtained. A set of simulation works on the five processes are carried out to demonstrate tracking and disturbance performance and robustness against the noise of this approach.</abstract><cop>New Delhi</cop><pub>Springer India</pub><doi>10.1007/s13198-023-02094-w</doi><tpages>15</tpages><orcidid>https://orcid.org/0000-0001-9491-8362</orcidid></addata></record> |
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subjects | Chemical process industries Controllers Engineering Engineering Economics Least squares method Logistics Marketing Nonlinear control Organization Original Article Parameters Proportional integral derivative Quality Control Reliability Safety and Risk Time constant Time lag Tracking Tuning |
title | New tuning formulas for a nonlinear PID control scheme |
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