{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T04:33:21Z","timestamp":1777610001211,"version":"3.51.4"},"reference-count":17,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Computational Intelligence and Soft Computing"],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:p>This paper treats a tuning of PID controllers method using multiobjective ant colony optimization. The design objective was to apply the ant colony algorithm in the aim of tuning the optimum solution of the PID controllers (<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msub><mml:mi>K<\/mml:mi><mml:mi>p<\/mml:mi><\/mml:msub><\/mml:math>,<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mml:msub><mml:mi>K<\/mml:mi><mml:mi>i<\/mml:mi><\/mml:msub><\/mml:math>, and<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mml:msub><mml:mi>K<\/mml:mi><mml:mi>d<\/mml:mi><\/mml:msub><\/mml:math>) by minimizing the multiobjective function. The potential of using multiobjective ant algorithms is to identify the Pareto optimal solution. The other methods are applied to make comparisons between a classic approach based on the \u201cZiegler-Nichols\u201d method and a metaheuristic approach based on the genetic algorithms. Simulation results demonstrate that the new tuning method using multiobjective ant colony optimization has a better control system performance compared with the classic approach and the genetic algorithms.<\/jats:p>","DOI":"10.1155\/2012\/536326","type":"journal-article","created":{"date-parts":[[2012,4,17]],"date-time":"2012-04-17T17:01:59Z","timestamp":1334682119000},"page":"1-7","source":"Crossref","is-referenced-by-count":81,"title":["Tuning PID Controller Using Multiobjective Ant Colony Optimization"],"prefix":"10.1155","volume":"2012","author":[{"given":"Ibtissem","family":"Chiha","sequence":"first","affiliation":[{"name":"Ensi Enim, Monastir, Rabat, Tunisia"}]},{"given":"Noureddine","family":"Liouane","sequence":"additional","affiliation":[{"name":"Ensi Enim, Tunisia"}]},{"given":"Pierre","family":"Borne","sequence":"additional","affiliation":[{"name":"National Cancer Institute, 92513 Boulogne Billan Court Cedex, France"}]}],"member":"98","reference":[{"issue":"6","key":"1","first-page":"495","volume":"3","year":"2008","journal-title":"WSEAS Transactions on Power Systems"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1109\/41.103431"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1049\/ip-cta:20010232"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1109\/3477.752795"},{"issue":"4","key":"9","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1016\/0967-0661(94)90008-6","volume":"2","year":"1994","journal-title":"Control Engineering Practice"},{"issue":"4","key":"10","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1016\/0967-0661(94)90008-6","volume":"2","year":"1994","journal-title":"Control Engineering Practice"},{"key":"14","first-page":"11","volume-title":"The ant colony optimization meta-heuristic","year":"1999"},{"issue":"2","key":"15","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1162\/106454699568728","volume":"5","year":"1999","journal-title":"Artificial Life"},{"key":"16","series-title":"Lecture Notes in Computer Science","volume":"840","year":"1994"},{"key":"17","first-page":"33","volume-title":"ACO algorithms for the quadratic assignment problem","year":"1999"},{"issue":"3","key":"18","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1057\/palgrave.jors.2600357","volume":"48","year":"1997","journal-title":"Journal of the Operational Research Society"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1109\/60.937211"},{"key":"20","first-page":"63","volume-title":"MACS-VRPTW: a multiple ant colony system for vehicle routing problems with time windows","year":"1999"},{"issue":"3","key":"21","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1287\/ijoc.12.3.237.12636","volume":"12","year":"2000","journal-title":"INFORMS Journal on Computing"},{"issue":"2","key":"23","first-page":"113","volume":"8","year":"2007","journal-title":"Asian Journal Of Civil Engineering"},{"key":"25","first-page":"759","volume":"64","year":"1942","journal-title":"Transactions of the ASME"},{"issue":"5","key":"24","first-page":"1469","volume":"23","year":"2007","journal-title":"Journal of Information Science and Engineering"}],"container-title":["Applied Computational Intelligence and Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/acisc\/2012\/536326.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/acisc\/2012\/536326.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/acisc\/2012\/536326.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,27]],"date-time":"2019-06-27T08:04:55Z","timestamp":1561622695000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/acisc\/2012\/536326\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":17,"alternative-id":["536326","536326"],"URL":"https:\/\/doi.org\/10.1155\/2012\/536326","relation":{},"ISSN":["1687-9724","1687-9732"],"issn-type":[{"value":"1687-9724","type":"print"},{"value":"1687-9732","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}