{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T18:12:33Z","timestamp":1772129553747,"version":"3.50.1"},"reference-count":36,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,3,22]],"date-time":"2021-03-22T00:00:00Z","timestamp":1616371200000},"content-version":"vor","delay-in-days":80,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100013785","name":"Foundation of Science and Technology Development of Ton Duc Thang University","doi-asserted-by":"publisher","award":["FOSTECT.2017.BR.05"],"award-info":[{"award-number":["FOSTECT.2017.BR.05"]}],"id":[{"id":"10.13039\/501100013785","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>Nowadays, the power systems are getting more and more complicated because of the delays introduced by the communication networks. The existence of the delays usually leads to the degradation and\/or instability of power system performance. On account of this point, the traditional load frequency control (LFC) approach for power system sketches a destabilizing impact and an unacceptable system performance. Therefore, this paper proposes a new LFC based on adaptive integral second\u2010order sliding mode control (AISOSMC) approach for the large\u2010scale power system with communication delays (LSPSwCD). First, a new linear matrix inequality is derived to ensure the stability of whole power systems using Lyapunov stability theory. Second, an AISOSMC law is designed to ensure the finite time reachability of the system states. To the best of our knowledge, this is the first time the AISOSMC is designed for LFC of the LSPSwCD. In addition, the report of testing results presents that the suggested LFC based on AISOSMC can not only decrease effectively the frequency variation but also make successfully less in mount of power oscillation\/fluctuation in tie\u2010line exchange.<\/jats:p>","DOI":"10.1155\/2021\/5564184","type":"journal-article","created":{"date-parts":[[2021,3,22]],"date-time":"2021-03-22T19:05:09Z","timestamp":1616439909000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":22,"title":["Adaptive Integral Second\u2010Order Sliding Mode Control Design for Load Frequency Control of Large\u2010Scale Power System with Communication Delays"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0123-9577","authenticated-orcid":false,"given":"Anh-Tuan","family":"Tran","sequence":"first","affiliation":[]},{"given":"Bui","family":"Le Ngoc Minh","sequence":"additional","affiliation":[]},{"given":"Phong Thanh","family":"Tran","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9766-9004","authenticated-orcid":false,"given":"Van Van","family":"Huynh","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4470-5160","authenticated-orcid":false,"given":"Van-Duc","family":"Phan","sequence":"additional","affiliation":[]},{"given":"Viet-Thanh","family":"Pham","sequence":"additional","affiliation":[]},{"given":"Tam Minh","family":"Nguyen","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,3,22]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.swevo.2015.10.004"},{"key":"e_1_2_9_2_2","first-page":"5129","article-title":"Distributed model predictive load frequency control of the multi-area power system after deregulation","volume":"27","author":"Ma M.","year":"2016","journal-title":"IEEE Transactions on Industrial Electronics"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2017.2771487"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2013.11.058"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40565-018-0458-5"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2012.03.035"},{"key":"e_1_2_9_7_2","first-page":"429","article-title":"Decentralized H\u221e load frequency control for multi-area power systems with communication uncertainties","volume":"4","author":"Cui Y.","year":"2017","journal-title":"In Advanced Computational Methods in Energy, Power, Electric Vehicles, and Their Integration"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2019.2939994"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1049\/iet-gtd.2015.1475"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2014.12.024"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.enconman.2014.05.091"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2016.02.041"},{"key":"e_1_2_9_13_2","first-page":"279","article-title":"Optimal tuning for load frequency control using ant lion algorithm in multi-area interconnected power system","volume":"25","author":"Kouba N.","year":"2019","journal-title":"Intelligent Automation & Soft Computing"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1109\/tpwrs.2013.2297432"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1177\/0142331218804309"},{"key":"e_1_2_9_16_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2017.2767544"},{"key":"e_1_2_9_17_2","doi-asserted-by":"publisher","DOI":"10.32604\/cmc.2019.05274"},{"key":"e_1_2_9_18_2","doi-asserted-by":"publisher","DOI":"10.32604\/csse.2019.34.179"},{"key":"e_1_2_9_19_2","doi-asserted-by":"publisher","DOI":"10.1109\/cjece.2015.2406873"},{"key":"e_1_2_9_20_2","doi-asserted-by":"publisher","DOI":"10.1109\/jas.2018.7511078"},{"key":"e_1_2_9_21_2","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/2672436"},{"key":"e_1_2_9_22_2","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2017.0735"},{"key":"e_1_2_9_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.conengprac.2017.02.001"},{"key":"e_1_2_9_24_2","doi-asserted-by":"publisher","DOI":"10.7305\/automatika.2015.12.816"},{"key":"e_1_2_9_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2019.01.036"},{"key":"e_1_2_9_26_2","first-page":"3050","article-title":"Application of a novel adaptive sliding mode control method to the load frequency control","volume":"12","author":"Guo J.","year":"2020","journal-title":"European Journal of Control"},{"key":"e_1_2_9_27_2","doi-asserted-by":"publisher","DOI":"10.1109\/tpwrs.2013.2277131"},{"key":"e_1_2_9_28_2","first-page":"1","article-title":"H\u221e Load frequency control design based on delay discretization approach for interconnected power systems with time delay","volume":"2","author":"Pradhan S. 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