{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T04:04:10Z","timestamp":1751342650755,"version":"3.41.0"},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2016,11,24]],"date-time":"2016-11-24T00:00:00Z","timestamp":1479945600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"Applied Basic Research Program of Tianjin","award":["15JCYBJC51500","15JCYBJC52300"],"award-info":[{"award-number":["15JCYBJC51500","15JCYBJC52300"]}]},{"name":"Tianjin Thousand Youth Talents Plan Project of Tianjin Normal University","award":["ZX110023"],"award-info":[{"award-number":["ZX110023"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Cluster Comput"],"published-print":{"date-parts":[[2017,3]]},"DOI":"10.1007\/s10586-016-0683-5","type":"journal-article","created":{"date-parts":[[2016,11,24]],"date-time":"2016-11-24T14:37:24Z","timestamp":1479998244000},"page":"291-299","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Shift based adaptive differential evolution for PID controller designs using swarm intelligence algorithm"],"prefix":"10.1007","volume":"20","author":[{"given":"Xiu","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xin","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,11,24]]},"reference":[{"key":"683_CR1","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1109\/TCST.2005.847331","volume":"13","author":"KH Ang","year":"2005","unstructured":"Ang, K.H., Chong, G., Li, Y.: PID control system analysis, design, and technology. IEEE Trans. Control Syst. Technol. 13, 559\u2013576 (2005)","journal-title":"IEEE Trans. Control Syst. Technol."},{"key":"683_CR2","doi-asserted-by":"crossref","first-page":"1088","DOI":"10.1016\/j.camwa.2010.03.066","volume":"60","author":"D Davendra","year":"2010","unstructured":"Davendra, D., Zelinka, I., Senkerik, R.: Chaos driven evolutionary algorithms for the task of PID control. Comput. Math. Appl. 60, 1088\u20131104 (2010)","journal-title":"Comput. Math. Appl."},{"key":"683_CR3","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1007\/s10586-015-0492-2","volume":"19","author":"S Sudeng","year":"2016","unstructured":"Sudeng, S., Wattanapongsakorn, N.: A knee-based multi-objective evolutionary algorithm: an extension to network system optimization design problem. Clust. Comput. 19, 411\u2013425 (2016)","journal-title":"Clust. Comput."},{"key":"683_CR4","doi-asserted-by":"crossref","first-page":"439","DOI":"10.1007\/s10586-009-0101-3","volume":"12","author":"A Gomez-Iglesias","year":"2009","unstructured":"Gomez-Iglesias, A., Vega-Rodriguez, M.A., Castejon-Magana, F., Cardenas-Montes, M., Morales-Ramos, E.: Evolutionary computation and grid computing to optimise nuclear fusion devices. Clust. Comput. 12, 439 (2009)","journal-title":"Clust. Comput."},{"key":"683_CR5","doi-asserted-by":"publisher","unstructured":"Wu, Q., Liu, H., Yan, X.: Multi-label classification algorithm research based on swarm intelligence. Clust. Comput. doi: 10.1007\/s10586-016-0646-x","DOI":"10.1007\/s10586-016-0646-x"},{"key":"683_CR6","doi-asserted-by":"crossref","first-page":"620","DOI":"10.1016\/j.eswa.2006.06.003","volume":"33","author":"WD Chang","year":"2007","unstructured":"Chang, W.D.: A multi-crossover genetic approach to multivariable PID controllers tuning. Expert Syst. Appl. 33, 620\u2013626 (2007)","journal-title":"Expert Syst. Appl."},{"key":"683_CR7","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1109\/TMECH.2003.809136","volume":"8","author":"CL Lin","year":"2003","unstructured":"Lin, C.L., Jan, H.Y., Shieh, N.C.: GA-based multiobjective PID control for a linear brushless DC motor. IEEE\/ASME Trans. Mechatron. 8, 56\u201365 (2003)","journal-title":"IEEE\/ASME Trans. Mechatron."},{"key":"683_CR8","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1109\/TSMCA.2007.914793","volume":"38","author":"MH Hung","year":"2008","unstructured":"Hung, M.H., Shu, L.S., Ho, S.J., Hwang, S.F., Ho, S.Y.: A novel intelligent multiobjective simulated annealing algorithm for designing robust PID controllers. IEEE Trans. Syst. Man Cybern. A 38, 319\u2013330 (2008)","journal-title":"IEEE Trans. Syst. Man Cybern. A"},{"key":"683_CR9","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1109\/TIE.2010.2046004","volume":"58","author":"RJ Wai","year":"2011","unstructured":"Wai, R.J., Lee, J.D., Chuang, K.L.: Real-time PID control strategy for maglev transportation system via particle swarm optimization. IEEE Trans. Ind. Electron. 58, 629\u2013646 (2011)","journal-title":"IEEE Trans. Ind. Electron."},{"key":"683_CR10","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/j.ins.2014.11.017","volume":"297","author":"Y Lu","year":"2015","unstructured":"Lu, Y., Yan, D., Zhang, J., Levy, D.: A variant with a time varying PID controller of particle swarm optimizers. Inf. Sci. 297, 21\u201349 (2015)","journal-title":"Inf. Sci."},{"key":"683_CR11","doi-asserted-by":"crossref","first-page":"2371","DOI":"10.1016\/j.camwa.2012.05.007","volume":"64","author":"LDS Coelho","year":"2012","unstructured":"Coelho, L.D.S., Mariani, V.C.: Firefly algorithm approach based on chaotic Tinkerbell map applied to multivariable PID controller tuning. Comput. Math. Appl. 64, 2371\u20132382 (2012)","journal-title":"Comput. Math. Appl."},{"key":"683_CR12","doi-asserted-by":"crossref","first-page":"1343","DOI":"10.1016\/j.neucom.2014.10.060","volume":"151","author":"GQ Zeng","year":"2015","unstructured":"Zeng, G.Q., Chen, J., Chen, M.R., Dai, Y.X., Li, L.M., Lu, K.D., Zheng, C.W.: Design of multivariable PID controllers using real-coded population-based extremal optimization. Neurocomputing 151, 1343\u20131353 (2015)","journal-title":"Neurocomputing"},{"key":"683_CR13","doi-asserted-by":"crossref","first-page":"1359","DOI":"10.1007\/s10586-016-0596-3","volume":"19","author":"S Yang","year":"2016","unstructured":"Yang, S., Yang, M., Wang, S., Huang, K.: Adaptive immune genetic algorithm for weapon system portfolio optimization in military big data environment. Clust. Comput. 19, 1359\u20131372 (2016)","journal-title":"Clust. Comput."},{"key":"683_CR14","doi-asserted-by":"crossref","first-page":"9159","DOI":"10.1016\/j.eswa.2008.12.033","volume":"36","author":"MW Iruthayarajan","year":"2009","unstructured":"Iruthayarajan, M.W., Baskar, S.: Evolutionary algorithms based design of multivariable PID controller. Expert Syst. Appl. 36, 9159\u20139167 (2009)","journal-title":"Expert Syst. Appl."},{"key":"683_CR15","doi-asserted-by":"crossref","first-page":"1789","DOI":"10.1049\/iet-gtd.2014.0097","volume":"8","author":"BK Sahu","year":"2014","unstructured":"Sahu, B.K., Pati, S., Panda, S.: Hybrid differential evolution particle swarm optimisation optimised fuzzy proportional-integral derivative controller for automatic generation control of interconnected power system. IET Gener. Transm. Distrib. 8, 1789\u20131800 (2014)","journal-title":"IET Gener. Transm. Distrib."},{"key":"683_CR16","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1016\/j.asoc.2015.10.041","volume":"38","author":"A Moharama","year":"2016","unstructured":"Moharama, A., El-Hosseinia, M.A., Alia, H.A.: Design of optimal PID controller using hybrid differential evolution and particle swarm optimization with an aging leader and challengers. Appl. Soft Comput. 38, 727\u2013737 (2016)","journal-title":"Appl. Soft Comput."},{"key":"683_CR17","doi-asserted-by":"crossref","first-page":"398","DOI":"10.1109\/TEVC.2008.927706","volume":"13","author":"AK Qin","year":"2009","unstructured":"Qin, A.K., Huang, V.L., Suganthan, P.N.: Differential evolution algorithm with strategy adaptation for global numerical optimization. IEEE Trans. Evol. Comput. 13, 398\u2013417 (2009)","journal-title":"IEEE Trans. Evol. Comput."},{"key":"683_CR18","doi-asserted-by":"crossref","first-page":"945","DOI":"10.1109\/TEVC.2009.2014613","volume":"13","author":"J Zhang","year":"2009","unstructured":"Zhang, J., Sanderson, A.C.: JADE: adaptive differential evolution with optional external archive. IEEE Trans. Evol. Comput. 13, 945\u2013958 (2009)","journal-title":"IEEE Trans. Evol. Comput."},{"key":"683_CR19","doi-asserted-by":"crossref","unstructured":"Zhang, X., Yuen, S.Y.: Opposition-based adaptive differential evolution. In: IEEE Congress on Evolutionary Computation, Brisbane, pp. 1\u20138 (2012)","DOI":"10.1109\/CEC.2012.6256445"},{"key":"683_CR20","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1023\/A:1008202821328","volume":"11","author":"R Storn","year":"1997","unstructured":"Storn, R., Price, K.: Differential evolution\u2014a simple and efficient heuristic for global optimization over continuous spaces. J. Global Optim. 11, 341\u2013359 (1997)","journal-title":"J. Global Optim."},{"key":"683_CR21","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1016\/j.cie.2008.03.003","volume":"55","author":"QK Pan","year":"2008","unstructured":"Pan, Q.K., Tasgetiren, M.F., Liang, Y.C.: A discrete differential evolution algorithm for the permutation flowshop scheduling problem. Comput. Ind. Eng. 55, 795\u2013816 (2008)","journal-title":"Comput. Ind. Eng."},{"key":"683_CR22","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/s10044-010-0183-9","volume":"14","author":"E Cuevas","year":"2011","unstructured":"Cuevas, E., Zaldivar, D., Perez-Cisneros, M., Ramirez-Ortegon, M.: Circle detection using discrete differential evolution optimization. Pattern Anal. Appl. 14, 93\u2013107 (2011)","journal-title":"Pattern Anal. Appl."},{"key":"683_CR23","series-title":"Natural Computing","volume-title":"Differential Evolution: A Practical Approach to Global Optimization","author":"KV Price","year":"2005","unstructured":"Price, K.V., Storn, R.M., Lampinen, J.A.: Differential Evolution: A Practical Approach to Global Optimization. Natural Computing. Springer, New York (2005)"},{"key":"683_CR24","first-page":"13694","volume":"38","author":"LDS Coelho","year":"2011","unstructured":"Coelho, L.D.S., Pessoa, M.W.: A tuning strategy for multivariable PI and PID controllers using differential evolution combined with chaotic Zaslavskii map. Expert Syst. Appl. 38, 13694\u201313701 (2011)","journal-title":"Expert Syst. Appl."},{"key":"683_CR25","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1080\/03052150903325557","volume":"42","author":"MG Villarreal-Cervantes","year":"2010","unstructured":"Villarreal-Cervantes, M.G., Cruz-Villar, C.A.: Differential evolution techniques for the structure-control design of a five-bar parallel robot. Eng. Optim. 42, 535\u2013565 (2010)","journal-title":"Eng. Optim."},{"key":"683_CR26","doi-asserted-by":"crossref","unstructured":"Pedro, J.O., Dangor, M., Dahunsi, O.A., Ali, M.M.: Differential evolution-based PID control of nonlinear full-car electrohydraulic suspensions. Math. Probl. Eng. 2013, Article ID 261582 (2013)","DOI":"10.1155\/2013\/261582"},{"key":"683_CR27","doi-asserted-by":"crossref","unstructured":"Sun, Z., Wang, N., Bi, Y., Zhao, J.: A DE based PID controller for two dimensional overhead crane. In: 34th Chinese Control Conference (CCC), Hangzhou, vol. 2015, pp. 2546\u20132550 (2015)","DOI":"10.1109\/ChiCC.2015.7260032"},{"key":"683_CR28","doi-asserted-by":"crossref","first-page":"9422","DOI":"10.1016\/j.ijhydene.2015.05.114","volume":"40","author":"H Beirami","year":"2015","unstructured":"Beirami, H., Shabestari, A.Z., Zerafat, M.M.: Optimal PID plus fuzzy controller design for a PEM fuel cell air feed system using the selfadaptive differential evolution algorithm. Int. J. Hydrog. Energy 40, 9422\u20139434 (2015)","journal-title":"Int. J. Hydrog. Energy"},{"key":"683_CR29","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1109\/TEVC.2007.894200","volume":"12","author":"S Rahnamayan","year":"2008","unstructured":"Rahnamayan, S., Tizhoosh, H.R., Salama, M.M.A.: Opposition based differential evolution. IEEE Trans. Evol. Comput. 12, 64\u201379 (2008)","journal-title":"IEEE Trans. Evol. Comput."},{"key":"683_CR30","doi-asserted-by":"crossref","first-page":"906","DOI":"10.1016\/j.asoc.2007.07.010","volume":"8","author":"S Rahnamayan","year":"2008","unstructured":"Rahnamayan, S., Tizhoosh, H.R., Salama, M.M.A.: Opposition versus randomness in soft computing techniques. Appl. Soft Comput. 8, 906\u2013918 (2008)","journal-title":"Appl. Soft Comput."},{"key":"683_CR31","doi-asserted-by":"crossref","unstructured":"El-Abd, M.: Opposition-based artificial bee colony algorithm. In: Proceedings of the 13th Annual Conference on Genetic and Evolutionary Computation, ACM, New York, pp. 109\u2013116 (2011)","DOI":"10.1145\/2001576.2001592"},{"key":"683_CR32","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1007\/s10489-007-0091-x","volume":"29","author":"J Brest","year":"2008","unstructured":"Brest, J., Maucec, M.S.: Population size reduction for the differential evolution algorithm. Appl. Intell. 29, 228\u2013247 (2008)","journal-title":"Appl. Intell."},{"key":"683_CR33","doi-asserted-by":"crossref","unstructured":"Zhang, X., Zhang, X.: A novel artificial bee colony algorithm for radar polyphase code and antenna array designs. EURASIP J. Wirel. Commun. Netw. 2016, Article No 40 (2016)","DOI":"10.1186\/s13638-016-0533-4"},{"key":"683_CR34","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1109\/TEVC.2010.2083670","volume":"15","author":"MG Epitropakis","year":"2011","unstructured":"Epitropakis, M.G., Tasoulis, D.K., Pavlidis, N.G., Plagianakos, V.P., Vrahatis, M.N.: Enhancing differential evolution utilizing proximitybased mutation operators. IEEE Trans. Evol. Comput. 15, 99\u2013119 (2011)","journal-title":"IEEE Trans. Evol. Comput."},{"key":"683_CR35","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1016\/j.ins.2014.10.060","volume":"297","author":"C Ozturk","year":"2015","unstructured":"Ozturk, C., Hancer, E., Karaboga, D.: A novel binary artificial bee colony algorithm based on genetic operators. Inf. Sci. 297, 154\u2013170 (2015)","journal-title":"Inf. Sci."},{"key":"683_CR36","doi-asserted-by":"crossref","first-page":"3472","DOI":"10.1002\/etep.2046","volume":"25","author":"PK Singhal","year":"2015","unstructured":"Singhal, P.K., Naresh, R., Sharma, V.: A modified binary artificial bee colony algorithm for ramp rate constrained unit commitment problem. Int. Trans. Electr. Energy Syst. 25, 3472\u20133491 (2015)","journal-title":"Int. Trans. Electr. Energy Syst."},{"key":"683_CR37","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1109\/TEVC.2010.2087271","volume":"15","author":"Y Wang","year":"2011","unstructured":"Wang, Y., Cai, Z., Zhang, Q.: Differential evolution with composite trial vector generation strategies and control parameters. IEEE Trans. Evol. Comput. 15, 55\u201366 (2011)","journal-title":"IEEE Trans. Evol. Comput."},{"key":"683_CR38","doi-asserted-by":"crossref","first-page":"2127","DOI":"10.1007\/s00500-010-0642-7","volume":"15","author":"H Wang","year":"2011","unstructured":"Wang, H., Wu, Z., Rahnamayan, S.: Enhanced opposition-based differential evolution for solving high-dimensional continuous optimization problems. Soft Comput. 15, 2127\u20132140 (2011)","journal-title":"Soft Comput."},{"key":"683_CR39","doi-asserted-by":"publisher","unstructured":"Kamila, N.K., Jena, L., Bhuyan, H.K.: Pareto-based multi-objective optimization for classification in data mining. Clust. Comput. (2016). doi: 10.1007\/s10586-016-0643-0","DOI":"10.1007\/s10586-016-0643-0"}],"container-title":["Cluster Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10586-016-0683-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10586-016-0683-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10586-016-0683-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,12]],"date-time":"2025-06-12T21:13:32Z","timestamp":1749762812000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10586-016-0683-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,11,24]]},"references-count":39,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,3]]}},"alternative-id":["683"],"URL":"https:\/\/doi.org\/10.1007\/s10586-016-0683-5","relation":{},"ISSN":["1386-7857","1573-7543"],"issn-type":[{"type":"print","value":"1386-7857"},{"type":"electronic","value":"1573-7543"}],"subject":[],"published":{"date-parts":[[2016,11,24]]}}}