{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T16:09:25Z","timestamp":1777910965506,"version":"3.51.4"},"reference-count":36,"publisher":"SAGE Publications","issue":"9","license":[{"start":{"date-parts":[[2024,9,17]],"date-time":"2024-09-17T00:00:00Z","timestamp":1726531200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62033008"],"award-info":[{"award-number":["62033008"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62073339"],"award-info":[{"award-number":["62073339"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62173343"],"award-info":[{"award-number":["62173343"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["2023YFB3307100"],"award-info":[{"award-number":["2023YFB3307100"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2025,6]]},"abstract":"<jats:p>In this article, the problem of fault-tolerant control is investigated for polynomial nonlinear systems (PNSs) subject to multiplicative faults and measurement noise. Firstly, a matrix Taylor expansion technique is applied to transform the PNS into a linear parameter varying system. Then the polynomial filter is constructed to get estimations of states and unmatched disturbances, which reduces the effect of measurement noise. A novel adaptive fault-tolerant controller is proposed to compensate for multiplicative faults and unmatched disturbances. Furthermore, the condition of the parameter-dependent linear matrix inequality (PDLMI) is deduced, which guarantees the boundedness of tracking errors and estimation errors, and the sum of squares (SOS) decomposition technique is utilized to solve PDLMI. Finally, the simulation of a rotary steerable drilling tool system confirms the feasibility of the proposed adaptive fault-tolerant control framework.<\/jats:p>","DOI":"10.1177\/01423312241269770","type":"journal-article","created":{"date-parts":[[2024,9,18]],"date-time":"2024-09-18T02:10:39Z","timestamp":1726625439000},"page":"1883-1892","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Polynomial filter-based adaptive fault-tolerant control for a class of nonlinear systems with multiplicative faults"],"prefix":"10.1177","volume":"47","author":[{"given":"Yuhan","family":"Ma","sequence":"first","affiliation":[{"name":"College of Control Science and Engineering, China University of Petroleum (East China), China"},{"name":"School of Automation and Electrical Engineering, Shenyang Ligong University, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ming","family":"Gao","sequence":"additional","affiliation":[{"name":"College of Control Science and Engineering, China University of Petroleum (East China), China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shiyang","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Control Science and Engineering, China University of Petroleum (East China), China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongli","family":"Wei","sequence":"additional","affiliation":[{"name":"College of Control Science and Engineering, China University of Petroleum (East China), China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yichun","family":"Niu","sequence":"additional","affiliation":[{"name":"College of Electrical Engineering and Automation, Shandong University of Science and Technology, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2940-209X","authenticated-orcid":false,"given":"Li","family":"Sheng","sequence":"additional","affiliation":[{"name":"College of Control Science and Engineering, China University of Petroleum (East China), China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2024,9,17]]},"reference":[{"key":"e_1_3_2_2_1","volume-title":"Introduction to Matrix Analysis","author":"Bellman R","year":"1970","unstructured":"Bellman R (1970) Introduction to Matrix Analysis. New York: McGraw-Hill."},{"key":"e_1_3_2_3_1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2021.3082504"},{"key":"e_1_3_2_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2018.04.014"},{"key":"e_1_3_2_5_1","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970777"},{"key":"e_1_3_2_6_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCA.2005.843383"},{"key":"e_1_3_2_7_1","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-023-01458-5"},{"key":"e_1_3_2_8_1","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2021.2005178"},{"key":"e_1_3_2_9_1","doi-asserted-by":"publisher","DOI":"10.1177\/0142331219865377"},{"key":"e_1_3_2_10_1","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2021.1885082"},{"key":"e_1_3_2_11_1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2021.3088397"},{"key":"e_1_3_2_12_1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2006.878732"},{"key":"e_1_3_2_13_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2019.2904768"},{"key":"e_1_3_2_14_1","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2019.2946882"},{"key":"e_1_3_2_15_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2022.127348"},{"key":"e_1_3_2_16_1","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.4322"},{"key":"e_1_3_2_17_1","doi-asserted-by":"publisher","DOI":"10.1177\/01423312221099706"},{"key":"e_1_3_2_18_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2020.3026321"},{"key":"e_1_3_2_19_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2022.12.020"},{"key":"e_1_3_2_20_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-023-08601-9"},{"key":"e_1_3_2_21_1","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2021.3134100"},{"key":"e_1_3_2_22_1","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2020.3015004"},{"key":"e_1_3_2_23_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2021.107747"},{"key":"e_1_3_2_24_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2010.2053339"},{"issue":"2","key":"e_1_3_2_25_1","first-page":"1774","article-title":"Finite-time H\n                  \u221e filtering for nonlinear stochastic systems with multiplicative noises via Carleman linearization technique","volume":"59","author":"Sheng L","year":"2023","unstructured":"Sheng L, Wang Y, Gao M, Niu Y, Zhou D (2023) Finite-time H\u221e filtering for nonlinear stochastic systems with multiplicative noises via Carleman linearization technique. IEEE Transactions on Aerospace and Electronic Systems 59(2): 1774\u20131786.","journal-title":"IEEE Transactions on Aerospace and Electronic Systems"},{"key":"e_1_3_2_26_1","doi-asserted-by":"publisher","DOI":"10.1177\/0142331219891588"},{"key":"e_1_3_2_27_1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2021.3126683"},{"key":"e_1_3_2_28_1","doi-asserted-by":"publisher","DOI":"10.1137\/1015034"},{"key":"e_1_3_2_29_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2022.02.035"},{"key":"e_1_3_2_30_1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2020.2995576"},{"key":"e_1_3_2_31_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2022.3152013"},{"key":"e_1_3_2_32_1","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2020.3011125"},{"key":"e_1_3_2_33_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2022.3222496"},{"key":"e_1_3_2_34_1","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2010.0616"},{"key":"e_1_3_2_35_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2015.2418317"},{"key":"e_1_3_2_36_1","doi-asserted-by":"publisher","DOI":"10.1109\/TMECH.2021.3069787"},{"key":"e_1_3_2_37_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2020.109298"}],"container-title":["Transactions of the Institute of Measurement and Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/01423312241269770","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/01423312241269770","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/01423312241269770","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T15:11:26Z","timestamp":1777648286000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/01423312241269770"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,9,17]]},"references-count":36,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2025,6]]}},"alternative-id":["10.1177\/01423312241269770"],"URL":"https:\/\/doi.org\/10.1177\/01423312241269770","relation":{},"ISSN":["0142-3312","1477-0369"],"issn-type":[{"value":"0142-3312","type":"print"},{"value":"1477-0369","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,9,17]]}}}