{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:56:29Z","timestamp":1753887389619,"version":"3.41.2"},"reference-count":23,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,11,16]],"date-time":"2021-11-16T00:00:00Z","timestamp":1637020800000},"content-version":"vor","delay-in-days":319,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Computational Intelligence and Neuroscience"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>Model uncertainties are usually unavoidable in the control systems, which are caused by imperfect system modeling, disturbances, and nonsmooth dynamics. This paper presents a novel method to address the robust control problem for uncertain systems. The original robust control problem of the uncertain system is first transformed into an optimal control of nominal system via selecting the appropriate cost function. Then, we develop an adaptive critic leaning algorithm to learn online the optimal control solution, where only the critic neural network (NN) is used, and the actor NN widely used in the existing methods is removed. Finally, the feasibility analysis of the control algorithm is given in the paper. Simulation results are given to show the availability of the presented control method.<\/jats:p>","DOI":"10.1155\/2021\/2952115","type":"journal-article","created":{"date-parts":[[2021,11,17]],"date-time":"2021-11-17T05:23:59Z","timestamp":1637126639000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Adaptive Critic Learning\u2010Based Robust Control of Systems with Uncertain Dynamics"],"prefix":"10.1155","volume":"2021","author":[{"given":"Jun","family":"Zhao","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3842-9107","authenticated-orcid":false,"given":"Qingliang","family":"Zeng","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0653-5642","authenticated-orcid":false,"given":"Bin","family":"Guo","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,11,16]]},"reference":[{"key":"e_1_2_8_1_2","first-page":"847","article-title":"Suboptimal control of nonlinear stochastic systems","volume":"10","author":"Saridis G.","year":"1994","journal-title":"Control Theory and Advanced Technology"},{"key":"e_1_2_8_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0005-1098(97)00128-3"},{"key":"e_1_2_8_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2004.11.034"},{"key":"e_1_2_8_4_2","first-page":"25","article-title":"Advanced forecasting methods for global crisis warning and models of intelligence","volume":"22","author":"Werbos P. J.","year":"1977","journal-title":"General Systems Yearbook"},{"key":"e_1_2_8_5_2","article-title":"Approximate dynamic programming for real-time control and neural modeling","author":"Werbos P. J.","year":"1992","journal-title":"Handbook of Intelligent Control: Neural, Fuzzy, and Adaptive Approaches"},{"key":"e_1_2_8_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2012.05.049"},{"key":"e_1_2_8_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/tnnls.2013.2292704"},{"key":"e_1_2_8_8_2","doi-asserted-by":"publisher","DOI":"10.3724\/SP.J.1004.2013.00293"},{"key":"e_1_2_8_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2012.07.014"},{"key":"e_1_2_8_10_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207179208934374"},{"volume-title":"Essentials of Robust Control","year":"1998","author":"Zhou K.","key":"e_1_2_8_11_2"},{"key":"e_1_2_8_12_2","doi-asserted-by":"publisher","DOI":"10.1109\/tnnls.2017.2749641"},{"key":"e_1_2_8_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2020.02.025"},{"key":"e_1_2_8_14_2","doi-asserted-by":"publisher","DOI":"10.1109\/tie.2017.2782205"},{"key":"e_1_2_8_15_2","doi-asserted-by":"publisher","DOI":"10.1109\/tnnls.2018.2852711"},{"key":"e_1_2_8_16_2","doi-asserted-by":"crossref","unstructured":"GahinetP. NemirovskiiA. LaubA. J. andChilaliM. The LMI control toolbox 3 Proceedings of the 1994 33rd IEEE Conference on Decision and Control December 1994 Lake Buena Vista FL USA 2038\u20132041.","DOI":"10.1109\/CDC.1994.411440"},{"key":"e_1_2_8_17_2","doi-asserted-by":"publisher","DOI":"10.1109\/tsmc.2019.2962103"},{"key":"e_1_2_8_18_2","doi-asserted-by":"publisher","DOI":"10.1002\/9780470059579"},{"key":"e_1_2_8_19_2","doi-asserted-by":"publisher","DOI":"10.1109\/tie.2018.2880728"},{"key":"e_1_2_8_20_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2015.1060362"},{"key":"e_1_2_8_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2010.02.018"},{"key":"e_1_2_8_22_2","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2012.0313"},{"key":"e_1_2_8_23_2","doi-asserted-by":"publisher","DOI":"10.1109\/tmech.2020.3035660"}],"container-title":["Computational Intelligence and Neuroscience"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/cin\/2021\/2952115.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cin\/2021\/2952115.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2021\/2952115","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,6]],"date-time":"2024-08-06T12:28:21Z","timestamp":1722947301000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2021\/2952115"}},"subtitle":[],"editor":[{"given":"Maciej","family":"Lawrynczuk","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":23,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1155\/2021\/2952115"],"URL":"https:\/\/doi.org\/10.1155\/2021\/2952115","archive":["Portico"],"relation":{},"ISSN":["1687-5265","1687-5273"],"issn-type":[{"type":"print","value":"1687-5265"},{"type":"electronic","value":"1687-5273"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"2021-09-19","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-10-20","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-11-16","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"2952115"}}