Costate Estimation of PMP-Based Control Strategy for PHEV Using Legendre Pseudospectral Method
Costate value plays a significant role in the application of PMP-based control strategy for PHEV. It is critical for terminal SOC of battery at destination and corresponding equivalent fuel consumption. However, it is not convenient to choose the approximate costate in real driving condition. In the...
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description | Costate value plays a significant role in the application of PMP-based control strategy for PHEV. It is critical for terminal SOC of battery at destination and corresponding equivalent fuel consumption. However, it is not convenient to choose the approximate costate in real driving condition. In the paper, the optimal control problem of PHEV based on PMP has been converted to nonlinear programming problem. By means of KKT condition costate can be approximated as KKT multipliers of NLP divided by the LGL weights. A kind of general costate estimation approach is proposed for predefined driving condition in this way. Dynamic model has been established in Matlab/Simulink in order to prove the effectiveness of the method. Simulation results demonstrate that the method presented in the paper can deduce the closer value of global optimal value than constant initial costate value. This approach can be used for initial costate and jump condition estimation of PMP-based control strategy for PHEV. |
doi_str_mv | 10.1155/2016/9019450 |
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It is critical for terminal SOC of battery at destination and corresponding equivalent fuel consumption. However, it is not convenient to choose the approximate costate in real driving condition. In the paper, the optimal control problem of PHEV based on PMP has been converted to nonlinear programming problem. By means of KKT condition costate can be approximated as KKT multipliers of NLP divided by the LGL weights. A kind of general costate estimation approach is proposed for predefined driving condition in this way. Dynamic model has been established in Matlab/Simulink in order to prove the effectiveness of the method. Simulation results demonstrate that the method presented in the paper can deduce the closer value of global optimal value than constant initial costate value. This approach can be used for initial costate and jump condition estimation of PMP-based control strategy for PHEV.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2016/9019450</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Approximation ; Battery ; Driving conditions ; Dynamic models ; Electric charge ; Electric vehicles ; Energy management ; Mathematical analysis ; Mathematical problems ; Matlab ; Nonlinear control ; Nonlinear programming ; Optimal control ; Simulation ; Spectral methods ; Strategy</subject><ispartof>Mathematical problems in engineering, 2016-01, Vol.2016 (2016), p.1-9</ispartof><rights>Copyright © 2016 Hanbing Wei et al.</rights><rights>Copyright © 2016 Hanbing Wei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c393t-3f1bbda23cb0a97a3280e283bc8d1950fe8fd5a9344ccd1683b65f9e6b0390643</citedby><cites>FETCH-LOGICAL-c393t-3f1bbda23cb0a97a3280e283bc8d1950fe8fd5a9344ccd1683b65f9e6b0390643</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><contributor>Ravindran, Sivaguru</contributor><creatorcontrib>Wei, Hanbing</creatorcontrib><creatorcontrib>Peng, Zhiyuan</creatorcontrib><creatorcontrib>Chen, Yao</creatorcontrib><title>Costate Estimation of PMP-Based Control Strategy for PHEV Using Legendre Pseudospectral Method</title><title>Mathematical problems in engineering</title><description>Costate value plays a significant role in the application of PMP-based control strategy for PHEV. 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This approach can be used for initial costate and jump condition estimation of PMP-based control strategy for PHEV.</description><subject>Approximation</subject><subject>Battery</subject><subject>Driving conditions</subject><subject>Dynamic models</subject><subject>Electric charge</subject><subject>Electric vehicles</subject><subject>Energy management</subject><subject>Mathematical analysis</subject><subject>Mathematical problems</subject><subject>Matlab</subject><subject>Nonlinear control</subject><subject>Nonlinear programming</subject><subject>Optimal control</subject><subject>Simulation</subject><subject>Spectral methods</subject><subject>Strategy</subject><issn>1024-123X</issn><issn>1563-5147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqF0M9LwzAUwPEiCur05lkCXgSt5jVN2xx1TCdsWPAHnixp8zIrtZlJhvjfG-1A8OIpD_Lh8fhG0QHQMwDOzxMK2bmgIFJON6Id4BmLOaT5ZphpksaQsKftaNe5V0oT4FDsRM9j47z0SCbOt2_St6YnRpNyXsaX0qEiY9N7azpy521gi0-ijSXldPJIHlzbL8gMF9gri6R0uFLGLbEJsiNz9C9G7UVbWnYO99fvKHq4mtyPp_Hs9vpmfDGLGyaYj5mGulYyYU1NpcglSwqKScHqplAgONVYaMWlYGnaNAqy8JNxLTCrKRM0S9koOh72Lq15X6Hz1VvrGuw62aNZuQoKWlAuMpoFevSHvpqV7cN1FeS5KBgXP-p0UI01zlnU1dKGPvazAlp9x66-Y1fr2IGfDPyl7ZX8aP_Th4PGYFDLXw2Q5CJlX3FvhzE</recordid><startdate>20160101</startdate><enddate>20160101</enddate><creator>Wei, Hanbing</creator><creator>Peng, Zhiyuan</creator><creator>Chen, Yao</creator><general>Hindawi Publishing Corporation</general><general>Hindawi Limited</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20160101</creationdate><title>Costate Estimation of PMP-Based Control Strategy for PHEV Using Legendre Pseudospectral Method</title><author>Wei, Hanbing ; Peng, Zhiyuan ; Chen, Yao</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c393t-3f1bbda23cb0a97a3280e283bc8d1950fe8fd5a9344ccd1683b65f9e6b0390643</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Approximation</topic><topic>Battery</topic><topic>Driving conditions</topic><topic>Dynamic models</topic><topic>Electric charge</topic><topic>Electric vehicles</topic><topic>Energy management</topic><topic>Mathematical analysis</topic><topic>Mathematical problems</topic><topic>Matlab</topic><topic>Nonlinear control</topic><topic>Nonlinear programming</topic><topic>Optimal control</topic><topic>Simulation</topic><topic>Spectral methods</topic><topic>Strategy</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wei, Hanbing</creatorcontrib><creatorcontrib>Peng, Zhiyuan</creatorcontrib><creatorcontrib>Chen, Yao</creatorcontrib><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access Journals</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>Middle East & Africa Database</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>Mathematical problems in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wei, Hanbing</au><au>Peng, Zhiyuan</au><au>Chen, Yao</au><au>Ravindran, Sivaguru</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Costate Estimation of PMP-Based Control Strategy for PHEV Using Legendre Pseudospectral Method</atitle><jtitle>Mathematical problems in engineering</jtitle><date>2016-01-01</date><risdate>2016</risdate><volume>2016</volume><issue>2016</issue><spage>1</spage><epage>9</epage><pages>1-9</pages><issn>1024-123X</issn><eissn>1563-5147</eissn><abstract>Costate value plays a significant role in the application of PMP-based control strategy for PHEV. It is critical for terminal SOC of battery at destination and corresponding equivalent fuel consumption. However, it is not convenient to choose the approximate costate in real driving condition. In the paper, the optimal control problem of PHEV based on PMP has been converted to nonlinear programming problem. By means of KKT condition costate can be approximated as KKT multipliers of NLP divided by the LGL weights. A kind of general costate estimation approach is proposed for predefined driving condition in this way. Dynamic model has been established in Matlab/Simulink in order to prove the effectiveness of the method. Simulation results demonstrate that the method presented in the paper can deduce the closer value of global optimal value than constant initial costate value. This approach can be used for initial costate and jump condition estimation of PMP-based control strategy for PHEV.</abstract><cop>Cairo, Egypt</cop><pub>Hindawi Publishing Corporation</pub><doi>10.1155/2016/9019450</doi><tpages>9</tpages><oa>free_for_read</oa></addata></record> |
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subjects | Approximation Battery Driving conditions Dynamic models Electric charge Electric vehicles Energy management Mathematical analysis Mathematical problems Matlab Nonlinear control Nonlinear programming Optimal control Simulation Spectral methods Strategy |
title | Costate Estimation of PMP-Based Control Strategy for PHEV Using Legendre Pseudospectral Method |
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