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Due to the presence of multiple unknown powers and the consideration of event\u2010triggered control, all the existing control methods of output\u2010constrained nonlinear systems are inapplicable. By introducing nonlinear mappings, finite\u2010time performance functions, and low\u2010power and high\u2010power terms into adding a power integrator technique and the relative threshold strategy, an adaptive state\u2010feedback controller is designed to eliminate the effects caused by the output constraint and time\u2010varying powers. It is proved that all the closed\u2010loop signals are bounded, the asymmetric time\u2010varying output constraint is not violated, and the tracking error converges to a prescribed arbitrarily small region around zero in a preassigned finite time. Furthermore, the Zeno phenomenon can be avoided. Two simulation examples demonstrate the effectiveness of this control scheme.<\/jats:p>","DOI":"10.1155\/2022\/7466780","type":"journal-article","created":{"date-parts":[[2022,7,7]],"date-time":"2022-07-07T17:50:10Z","timestamp":1657216210000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Adaptive Event\u2010Triggered Finite\u2010Time Tracking of Output\u2010Constrained High\u2010Order Nonlinear Systems with Time\u2010Varying Powers"],"prefix":"10.1155","volume":"2022","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6868-5358","authenticated-orcid":false,"given":"Fan","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9091-9085","authenticated-orcid":false,"given":"You","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2022,7,7]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2008.11.017"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-014-1650-9"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2011.631192"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2018.11.008"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/tsmc.2020.2969289"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2021.3051946"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-019-2714-7"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2021.3107600"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2021.109595"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1109\/tcyb.2018.2838573"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2017.0757"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2020.10.001"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2019.08.038"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1002\/acs.3232"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2019.1639825"},{"key":"e_1_2_9_16_2","doi-asserted-by":"publisher","DOI":"10.1109\/tsmc.2019.2895048"},{"key":"e_1_2_9_17_2","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2020.2990173"},{"key":"e_1_2_9_18_2","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2020.2967294"},{"key":"e_1_2_9_19_2","doi-asserted-by":"publisher","DOI":"10.1002\/acs.3280"},{"key":"e_1_2_9_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0167-6911(99)00115-2"},{"key":"e_1_2_9_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2020.02.089"},{"key":"e_1_2_9_22_2","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2019.2920808"},{"key":"e_1_2_9_23_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2019.1626024"},{"key":"e_1_2_9_24_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2020.1798026"},{"key":"e_1_2_9_25_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2020.2985707"},{"key":"e_1_2_9_26_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2021.3069865"},{"key":"e_1_2_9_27_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-021-3293-0"},{"key":"e_1_2_9_28_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2021.110085"},{"key":"e_1_2_9_29_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.energy.2015.10.077"},{"key":"e_1_2_9_30_2","doi-asserted-by":"crossref","unstructured":"RuiC. 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