{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:08:38Z","timestamp":1777453718831,"version":"3.51.4"},"reference-count":38,"publisher":"Wiley","license":[{"start":{"date-parts":[[2019,2,3]],"date-time":"2019-02-03T00:00:00Z","timestamp":1549152000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100008532","name":"Federal University of Rio Grande do Norte","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100008532","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Department of Computation and Automation"},{"name":"Potiguar University"},{"name":"Federal Institute of Education, Science and Technology of Rio Grande do Norte"},{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Laboratory of Automation in Petroleum"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Control Science and Engineering"],"published-print":{"date-parts":[[2019,2,3]]},"abstract":"<jats:p>This paper proposes a MIMO Explicit Generalized Predictive Control (EGPC) for minimizing payload oscillation of a Gantry Crane System subject to input and output constraints. In order to control the crane system efficiently, the traditional GPC formulation, based on online Quadratic Programming (QP), is rewritten as a multiparametric quadratic programming problem (mp-QP). An explicit Piecewise Affine (PWA) control law is obtained and holds the same performance as online QP. To test effectiveness, the proposed method is compared with two GPC formulations: one that handle constraints (CGPC) and another that does not handle constraints (UGPC). Results show that both EGPC and CGPC have better performance, reducing the payload swing when compared to UGPC. Also both EGPC and CGPC are able to control the system without constraint violation. When comparing EGPC to CGPC, the first is able to calculate (during time step) the control action faster than the second. The simulations prove that the overall performance of EGPC is superior to the other used formulations.<\/jats:p>","DOI":"10.1155\/2019\/3612634","type":"journal-article","created":{"date-parts":[[2019,2,3]],"date-time":"2019-02-03T18:33:49Z","timestamp":1549218829000},"page":"1-13","source":"Crossref","is-referenced-by-count":4,"title":["Explicit GPC Control Applied to an Approximated Linearized Crane System"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0976-1792","authenticated-orcid":true,"given":"Daniel Guerra Vale da","family":"Fonseca","sequence":"first","affiliation":[{"name":"Department of Automation and Computer Engineering, CT, Federal University of Rio Grande do Norte, 59078-970 Natal, RN, Brazil"},{"name":"Federal Institute of Education, Science and Technology of Rio Grande do Norte, Natal 59112-490, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4172-3913","authenticated-orcid":true,"given":"Andr\u00e9 Felipe O. de A.","family":"Dantas","sequence":"additional","affiliation":[{"name":"Master of Process Engineering, Potiguar University, Natal 59054-180, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3999-2874","authenticated-orcid":true,"given":"Carlos Eduardo Trabuco","family":"D\u00f3rea","sequence":"additional","affiliation":[{"name":"Department of Automation and Computer Engineering, CT, Federal University of Rio Grande do Norte, 59078-970 Natal, RN, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6083-7425","authenticated-orcid":true,"given":"Andr\u00e9 Laurindo","family":"Maitelli","sequence":"additional","affiliation":[{"name":"Department of Automation and Computer Engineering, CT, Federal University of Rio Grande do Norte, 59078-970 Natal, RN, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"40","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2016.2587249"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1177\/1077546315581091"},{"key":"41","doi-asserted-by":"publisher","DOI":"10.1109\/TASE.2017.2723539"},{"key":"1","doi-asserted-by":"publisher","DOI":"10.1177\/1077546303009007007"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.autcon.2011.12.005"},{"key":"31","doi-asserted-by":"publisher","DOI":"10.1177\/0142331217703702"},{"key":"38","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2013.01.039"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.protcy.2013.12.211"},{"key":"30","first-page":"119","volume":"2","year":"2013","journal-title":"International Journal on Theoretical and Applied Research in Mechanical Engineering (IJTARME)"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2017.03.015"},{"key":"44","doi-asserted-by":"publisher","DOI":"10.1016\/j.acme.2014.02.002"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1016\/j.conengprac.2018.06.021"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2018.01.029"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2018.06.005"},{"key":"39","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-015-1971-y"},{"key":"42","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechatronics.2007.04.004"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1017\/S0263574705002511"},{"key":"36","doi-asserted-by":"publisher","DOI":"10.1177\/1077546309103421"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1177\/1077546313500367"},{"issue":"10","key":"3","volume":"10","year":"2017","journal-title":"Energies"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1109\/TMECH.2016.2558202"},{"key":"7","year":"2013"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2013.2280464"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.conengprac.2018.06.010"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1007\/s12555-015-0472-6"},{"key":"33","first-page":"2224","volume":"13","year":"2018","journal-title":"Journal of Engineering Science and Technology"},{"key":"45","doi-asserted-by":"publisher","DOI":"10.1016\/j.conengprac.2018.07.001"},{"key":"35","doi-asserted-by":"publisher","DOI":"10.1109\/TMECH.2016.2598606"},{"key":"34","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2015.02.019"},{"key":"37","doi-asserted-by":"publisher","DOI":"10.1080\/00207170410001703403"},{"issue":"4","key":"32","volume":"60","year":"2017","journal-title":"Electronics (Switzerland)"},{"key":"19","first-page":"191","volume":"15","year":"2006","journal-title":"Control Systems Technology"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2011.05.001"},{"key":"22","year":"2001"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2016.2554558"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1007\/s10287-012-0144-4"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2002.805688"},{"issue":"10","key":"15","volume":"14","year":"1994","journal-title":"Control Theory and Applications, IEE Proceedings"}],"container-title":["Journal of Control Science and Engineering"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jcse\/2019\/3612634.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jcse\/2019\/3612634.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jcse\/2019\/3612634.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,2,12]],"date-time":"2019-02-12T18:34:41Z","timestamp":1549996481000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/jcse\/2019\/3612634\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,2,3]]},"references-count":38,"alternative-id":["3612634","3612634"],"URL":"https:\/\/doi.org\/10.1155\/2019\/3612634","relation":{},"ISSN":["1687-5249","1687-5257"],"issn-type":[{"value":"1687-5249","type":"print"},{"value":"1687-5257","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,2,3]]}}}