Fractional Order Modeling And Nonlinear Fractional Order Pi‐Type Control For PMLSM System
In this paper, firstly a fractional order (FO) model is proposed for the speed control of a permanent magnet linear synchronous motor (PMLSM) servo system. To identify the parameters of the FO model, a practical modeling algorithm is presented. The algorithm is based on a pattern search method and i...
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| Veröffentlicht in: | Asian journal of control 2017-03, Vol.19 (2), p.521-531 |
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| container_title | Asian journal of control |
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| creator | Song, Bao Zheng, Shiqi Tang, Xiaoqi Qiao, Wenjun |
| description | In this paper, firstly a fractional order (FO) model is proposed for the speed control of a permanent magnet linear synchronous motor (PMLSM) servo system. To identify the parameters of the FO model, a practical modeling algorithm is presented. The algorithm is based on a pattern search method and its effectiveness is verified by real experimental results. Second, a new fractional order proportional integral type controller, that is, (PIμ)λ or FO[FOPI], is introduced. Then a tuning methodology is presented for the FO[FOPI] controller. In this tuning method, the controller is designed to satisfy four design specifications: stability requirement, specified gain crossover frequency, specified phase margin, flat phase constraint, and minimum integral absolute error. Both set point tracking and load disturbance rejection cases are considered. The advantages of the tuning method are that it fully considers the stability requirement and avoids solving a complex nonlinear optimization problem. Simulations are conducted to verify the effectiveness of the proposed FO[FOPI] controller over classical FOPI and FO[PI] controllers. |
| doi_str_mv | 10.1002/asjc.1353 |
| format | Article |
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To identify the parameters of the FO model, a practical modeling algorithm is presented. The algorithm is based on a pattern search method and its effectiveness is verified by real experimental results. Second, a new fractional order proportional integral type controller, that is, (PIμ)λ or FO[FOPI], is introduced. Then a tuning methodology is presented for the FO[FOPI] controller. In this tuning method, the controller is designed to satisfy four design specifications: stability requirement, specified gain crossover frequency, specified phase margin, flat phase constraint, and minimum integral absolute error. Both set point tracking and load disturbance rejection cases are considered. The advantages of the tuning method are that it fully considers the stability requirement and avoids solving a complex nonlinear optimization problem. Simulations are conducted to verify the effectiveness of the proposed FO[FOPI] controller over classical FOPI and FO[PI] controllers.</description><identifier>ISSN: 1561-8625</identifier><identifier>EISSN: 1934-6093</identifier><identifier>DOI: 10.1002/asjc.1353</identifier><language>eng</language><publisher>Hoboken: Wiley Subscription Services, Inc</publisher><subject>Algorithms ; Computer simulation ; Control stability ; Control systems ; Controllers ; Design specifications ; Fractional order modeling ; fractional order PI controller ; Modelling ; Motors ; Nonlinear control ; Nonlinear systems ; Parameter identification ; Pattern search ; PMLSM ; Proportional integral ; Servocontrol ; Servomechanisms ; Servomotors ; Speed control ; Studies ; Tuning</subject><ispartof>Asian journal of control, 2017-03, Vol.19 (2), p.521-531</ispartof><rights>2016 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd</rights><rights>2017 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3603-aad0faa483a3b0ed2659c04de1298de5ee6f9fadb1893c98330464d80f2985783</citedby><cites>FETCH-LOGICAL-c3603-aad0faa483a3b0ed2659c04de1298de5ee6f9fadb1893c98330464d80f2985783</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fasjc.1353$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fasjc.1353$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids></links><search><creatorcontrib>Song, Bao</creatorcontrib><creatorcontrib>Zheng, Shiqi</creatorcontrib><creatorcontrib>Tang, Xiaoqi</creatorcontrib><creatorcontrib>Qiao, Wenjun</creatorcontrib><title>Fractional Order Modeling And Nonlinear Fractional Order Pi‐Type Control For PMLSM System</title><title>Asian journal of control</title><description>In this paper, firstly a fractional order (FO) model is proposed for the speed control of a permanent magnet linear synchronous motor (PMLSM) servo system. To identify the parameters of the FO model, a practical modeling algorithm is presented. The algorithm is based on a pattern search method and its effectiveness is verified by real experimental results. Second, a new fractional order proportional integral type controller, that is, (PIμ)λ or FO[FOPI], is introduced. Then a tuning methodology is presented for the FO[FOPI] controller. In this tuning method, the controller is designed to satisfy four design specifications: stability requirement, specified gain crossover frequency, specified phase margin, flat phase constraint, and minimum integral absolute error. Both set point tracking and load disturbance rejection cases are considered. The advantages of the tuning method are that it fully considers the stability requirement and avoids solving a complex nonlinear optimization problem. Simulations are conducted to verify the effectiveness of the proposed FO[FOPI] controller over classical FOPI and FO[PI] controllers.</description><subject>Algorithms</subject><subject>Computer simulation</subject><subject>Control stability</subject><subject>Control systems</subject><subject>Controllers</subject><subject>Design specifications</subject><subject>Fractional order modeling</subject><subject>fractional order PI controller</subject><subject>Modelling</subject><subject>Motors</subject><subject>Nonlinear control</subject><subject>Nonlinear systems</subject><subject>Parameter identification</subject><subject>Pattern search</subject><subject>PMLSM</subject><subject>Proportional integral</subject><subject>Servocontrol</subject><subject>Servomechanisms</subject><subject>Servomotors</subject><subject>Speed control</subject><subject>Studies</subject><subject>Tuning</subject><issn>1561-8625</issn><issn>1934-6093</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp90L1OwzAQB3ALgUQpDLyBJSaGtOc4du2xiigfailSy8RgubGDUqVxsVNV2XgEnpEnIaFsCCaffL87nf4IXRIYEIB4qMM6GxDK6BHqEUmTiIOkx23NOIkEj9kpOgthDcAJFayHXiZeZ3XhKl3iuTfW45kztiyqVzyuDH50VVtb7fEv91R8vn8sm63Fqatq70o8ce3vbLqY4UUTars5Rye5LoO9-Hn76Hlys0zvoun89j4dT6OMcqCR1gZyrRNBNV2BNTFnMoPEWBJLYSyzlucy12ZFhKSZFJRCwhMjIG_7bCRoH10d9m69e9vZUKu12_n20qCIhFYnMWH_KjFKqAQ-6tT1QWXeheBtrra-2GjfKAKqS1h1Casu4dYOD3ZflLb5G6rx4iH9nvgCw_t8hA</recordid><startdate>201703</startdate><enddate>201703</enddate><creator>Song, Bao</creator><creator>Zheng, Shiqi</creator><creator>Tang, Xiaoqi</creator><creator>Qiao, Wenjun</creator><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>JQ2</scope></search><sort><creationdate>201703</creationdate><title>Fractional Order Modeling And Nonlinear Fractional Order Pi‐Type Control For PMLSM System</title><author>Song, Bao ; Zheng, Shiqi ; Tang, Xiaoqi ; Qiao, Wenjun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3603-aad0faa483a3b0ed2659c04de1298de5ee6f9fadb1893c98330464d80f2985783</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Algorithms</topic><topic>Computer simulation</topic><topic>Control stability</topic><topic>Control systems</topic><topic>Controllers</topic><topic>Design specifications</topic><topic>Fractional order modeling</topic><topic>fractional order PI controller</topic><topic>Modelling</topic><topic>Motors</topic><topic>Nonlinear control</topic><topic>Nonlinear systems</topic><topic>Parameter identification</topic><topic>Pattern search</topic><topic>PMLSM</topic><topic>Proportional integral</topic><topic>Servocontrol</topic><topic>Servomechanisms</topic><topic>Servomotors</topic><topic>Speed control</topic><topic>Studies</topic><topic>Tuning</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Song, Bao</creatorcontrib><creatorcontrib>Zheng, Shiqi</creatorcontrib><creatorcontrib>Tang, Xiaoqi</creatorcontrib><creatorcontrib>Qiao, Wenjun</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Computer Science Collection</collection><jtitle>Asian journal of control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Song, Bao</au><au>Zheng, Shiqi</au><au>Tang, Xiaoqi</au><au>Qiao, Wenjun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fractional Order Modeling And Nonlinear Fractional Order Pi‐Type Control For PMLSM System</atitle><jtitle>Asian journal of control</jtitle><date>2017-03</date><risdate>2017</risdate><volume>19</volume><issue>2</issue><spage>521</spage><epage>531</epage><pages>521-531</pages><issn>1561-8625</issn><eissn>1934-6093</eissn><abstract>In this paper, firstly a fractional order (FO) model is proposed for the speed control of a permanent magnet linear synchronous motor (PMLSM) servo system. To identify the parameters of the FO model, a practical modeling algorithm is presented. The algorithm is based on a pattern search method and its effectiveness is verified by real experimental results. Second, a new fractional order proportional integral type controller, that is, (PIμ)λ or FO[FOPI], is introduced. Then a tuning methodology is presented for the FO[FOPI] controller. In this tuning method, the controller is designed to satisfy four design specifications: stability requirement, specified gain crossover frequency, specified phase margin, flat phase constraint, and minimum integral absolute error. Both set point tracking and load disturbance rejection cases are considered. The advantages of the tuning method are that it fully considers the stability requirement and avoids solving a complex nonlinear optimization problem. Simulations are conducted to verify the effectiveness of the proposed FO[FOPI] controller over classical FOPI and FO[PI] controllers.</abstract><cop>Hoboken</cop><pub>Wiley Subscription Services, Inc</pub><doi>10.1002/asjc.1353</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record> |
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| subjects | Algorithms Computer simulation Control stability Control systems Controllers Design specifications Fractional order modeling fractional order PI controller Modelling Motors Nonlinear control Nonlinear systems Parameter identification Pattern search PMLSM Proportional integral Servocontrol Servomechanisms Servomotors Speed control Studies Tuning |
| title | Fractional Order Modeling And Nonlinear Fractional Order Pi‐Type Control For PMLSM System |
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