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A fuzzy model with product inference engine, singleton fuzzifier, center average defuzzifier, and Gaussian membership functions is trained by the orthogonal least square (OLS) learning algorithm based on given input-output data pairs. An optimal control scheme is then formulated based on the fuzzy model. The numerical solution of the problem is achieved by use of a feasible-direction algorithm. To show the effectiveness of the proposed method, the simulation results of three nonlinear optimal control problems are presented. The results show that the performance of the proposed approach is quite similar to that of optimal control of the system represented by an explicit mathematical model, thus demonstrating the efficacy of the proposed scheme for optimal control of unknown nonlinear systems.<\/jats:p>","DOI":"10.3233\/ifs-141376","type":"journal-article","created":{"date-parts":[[2015,10,6]],"date-time":"2015-10-06T12:04:21Z","timestamp":1444133061000},"page":"647-658","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["Nonlinear discrete time optimal control based on Fuzzy Models"],"prefix":"10.1177","volume":"29","author":[{"given":"Xin","family":"Jin","sequence":"first","affiliation":[{"name":"School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA"}]},{"given":"Yung C.","family":"Shin","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA"}]}],"member":"179","published-online":{"date-parts":[[2015,10,5]]},"reference":[{"key":"e_1_3_1_2_2","unstructured":"KirkDE2012Optimal Control Theory: An IntroductionNew YorkDover\u2013Publications"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.arcontrol.2012.09.002"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10994-012-5278-7"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/21.52552"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/12.324566"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/FUZZY.1992.258711"},{"key":"e_1_3_1_8_2","unstructured":"WangLX1999A Course in Fuzzy SystemsPrentice-Hall PressU S A"},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-1994-2306"},{"key":"e_1_3_1_10_2","doi-asserted-by":"publisher","DOI":"10.1109\/72.159070"},{"key":"e_1_3_1_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(02)00344-5"},{"key":"e_1_3_1_12_2","doi-asserted-by":"publisher","DOI":"10.1109\/72.80341"},{"key":"e_1_3_1_13_2","doi-asserted-by":"publisher","DOI":"10.1109\/37.588098"},{"key":"e_1_3_1_14_2","unstructured":"PontryaginLSBoltyanskiyVGGramkrelidzeRVMischenkoEF1962The Mathematical Theory of Optimal ProcessesNew YorkInterscience"},{"key":"e_1_3_1_15_2","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2008.926614"},{"key":"e_1_3_1_16_2","doi-asserted-by":"publisher","DOI":"10.1109\/MCAS.2009.933854"},{"key":"e_1_3_1_17_2","doi-asserted-by":"publisher","DOI":"10.1109\/MCI.2009.932261"},{"key":"e_1_3_1_18_2","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2007.900227"},{"key":"e_1_3_1_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2006.09.019"},{"key":"e_1_3_1_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2009.06.014"},{"key":"e_1_3_1_21_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11768-011-0178-0"},{"key":"e_1_3_1_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2008.05.012"},{"key":"e_1_3_1_23_2","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2012.2227339"},{"key":"e_1_3_1_24_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2012.06.096"},{"key":"e_1_3_1_25_2","first-page":"621","article-title":"Optimal coordinated and integrated motorway network traffic control","author":"Kotsialos A","year":"1999","unstructured":"KotsialosAPapageorgiouMMessmerA1999Optimal coordinated and integrated motorway network traffic control14th International Symposium on Transportation and TrafficTheory621644","journal-title":"14th International Symposium on Transportation and TrafficTheory"},{"key":"e_1_3_1_26_2","doi-asserted-by":"publisher","DOI":"10.1287\/trsc.1090.0314"},{"key":"e_1_3_1_27_2","doi-asserted-by":"publisher","DOI":"10.1109\/21.52551"},{"key":"e_1_3_1_28_2","unstructured":"BertsekasDP1999Nonlinear ProgrammingAthena ScientificBelmont MA"},{"key":"e_1_3_1_29_2","unstructured":"SunWYuanY2006Optimization Theory and Methods: Nonlinear ProgrammingNew YorkSpringer"},{"key":"e_1_3_1_30_2","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.815"},{"key":"e_1_3_1_31_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0016-0032(02)00028-5"},{"key":"e_1_3_1_32_2","doi-asserted-by":"publisher","DOI":"10.1002\/cjce.5450490416"}],"container-title":["Journal of Intelligent &amp; 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