{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:58:11Z","timestamp":1753887491709,"version":"3.41.2"},"reference-count":19,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2019,4,15]],"date-time":"2019-04-15T00:00:00Z","timestamp":1555286400000},"content-version":"vor","delay-in-days":104,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11671240"],"award-info":[{"award-number":["11671240"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2019,1]]},"abstract":"<jats:p>The objective of this paper is to solve the performance output regulation problem for a wave\u2010heat cascade system with unmatched disturbance. Applying the series expansion, the auxiliary trajectory for the cascade system is constructed and the unmatched disturbance is rejected. Meanwhile, the controller and observer only based on error signal are designed, and the performance output regulation problem is solved. Under the control feedback, the performance output can track the reference signal, and the regulation error goes to zero asymptotically. Finally, some numerical simulations are presented for illustration.<\/jats:p>","DOI":"10.1155\/2019\/1067032","type":"journal-article","created":{"date-parts":[[2019,4,15]],"date-time":"2019-04-15T23:30:36Z","timestamp":1555371036000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Performance Output Tracking for a One\u2010Dimensional Wave\u2010Heat Cascade System with Unmatched Disturbance"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2709-660X","authenticated-orcid":false,"given":"Yulong","family":"Liu","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2019,4,15]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2016.01.041"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2016.10.007"},{"key":"e_1_2_11_3_2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2016.2636571"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2017.08.720"},{"key":"e_1_2_11_5_2","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.1588"},{"key":"e_1_2_11_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2018.11.033"},{"key":"e_1_2_11_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2018.06.020"},{"key":"e_1_2_11_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejcon.2017.10.006"},{"key":"e_1_2_11_9_2","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.4234"},{"key":"e_1_2_11_10_2","doi-asserted-by":"publisher","DOI":"10.1137\/090760957"},{"key":"e_1_2_11_11_2","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.2920"},{"key":"e_1_2_11_12_2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2009.2015557"},{"key":"e_1_2_11_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2011.06.008"},{"key":"e_1_2_11_14_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2015.1010179"},{"key":"e_1_2_11_15_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2016.1158866"},{"key":"e_1_2_11_16_2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2014.2326491"},{"key":"e_1_2_11_17_2","doi-asserted-by":"publisher","DOI":"10.1137\/130921362"},{"journal-title":"Automatica","article-title":"Trajectory Planning Approach to Output Regulation for a 1-D Heat Equation with Two Non-collocated Configurations","author":"Feng H.","key":"e_1_2_11_18_2"},{"key":"e_1_2_11_19_2","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718607"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2019\/1067032.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2019\/1067032.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2019\/1067032","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T11:48:55Z","timestamp":1723031335000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2019\/1067032"}},"subtitle":[],"editor":[{"given":"\u00c1tila","family":"Bueno","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2019,1]]},"references-count":19,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,1]]}},"alternative-id":["10.1155\/2019\/1067032"],"URL":"https:\/\/doi.org\/10.1155\/2019\/1067032","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2019,1]]},"assertion":[{"value":"2019-01-27","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-03-27","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-04-15","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"1067032"}}