{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T20:46:45Z","timestamp":1777927605399,"version":"3.51.4"},"reference-count":32,"publisher":"SAGE Publications","issue":"9","license":[{"start":{"date-parts":[[2025,7,4]],"date-time":"2025-07-04T00:00:00Z","timestamp":1751587200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100007129","name":"Natural Science Foundation of Shandong Province","doi-asserted-by":"publisher","award":["ZR2024QF300"],"award-info":[{"award-number":["ZR2024QF300"]}],"id":[{"id":"10.13039\/501100007129","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"published-print":{"date-parts":[[2025,10]]},"abstract":"<jats:p>This study addresses the prescribed performance tracking control (PPTC) problem for a class of descriptor systems (DSs) based on the uncertainty and disturbance estimator (UDE). Firstly, a novel prescribed performance function (PPF) is proposed, which is independent of initial conditions and designed to regulate both the transient and steady-state behavior of the error systems through its convergence properties. Then, by introducing a homomorphic mapping function, the tracking control issue for constrained systems is equivalently transformed into the boundedness issue for unconstrained auxiliary systems. Next, the UDE-based control technique is implemented to counteract the uncertain dynamics within the auxiliary systems. Consequently, the UDE-based composite controller is proposed such that the PPTC problem can be solved. Finally, the effectiveness of proposed methodologies is demonstrated through a numerical example and two practical applications.<\/jats:p>","DOI":"10.1177\/09596518251341542","type":"journal-article","created":{"date-parts":[[2025,7,4]],"date-time":"2025-07-04T06:35:41Z","timestamp":1751610941000},"page":"1676-1686","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Prescribed performance tracking control for descriptor systems based on the uncertainty and disturbance estimator"],"prefix":"10.1177","volume":"239","author":[{"given":"Linshan","family":"Li","sequence":"first","affiliation":[{"name":"School of Information Engineering, Shandong Management University, Jinan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4080-9045","authenticated-orcid":false,"given":"Anqing","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Information Engineering, Shandong Management University, Jinan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rongwei","family":"Guo","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan, Shandong, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2025,7,4]]},"reference":[{"key":"e_1_3_3_2_2","volume-title":"Linear system theory and design","author":"Chen CT","year":"1984","unstructured":"Chen CT. Linear system theory and design. New York: Saunders college publishing, 1984."},{"key":"e_1_3_3_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-6397-0"},{"key":"e_1_3_3_4_2","doi-asserted-by":"publisher","DOI":"10.1177\/09596518231181479"},{"key":"e_1_3_3_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2020.08.005"},{"key":"e_1_3_3_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2017.2770160"},{"key":"e_1_3_3_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2022.02.011"},{"key":"e_1_3_3_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2024.120946"},{"key":"e_1_3_3_9_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2020.3041589"},{"key":"e_1_3_3_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2019.04.033"},{"key":"e_1_3_3_11_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2022.3231900"},{"key":"e_1_3_3_12_2","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2023.3258447"},{"key":"e_1_3_3_13_2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.929402"},{"key":"e_1_3_3_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2014.02.020"},{"key":"e_1_3_3_15_2","doi-asserted-by":"publisher","DOI":"10.1177\/0959651820952552"},{"key":"e_1_3_3_16_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2020.2968868"},{"key":"e_1_3_3_17_2","doi-asserted-by":"publisher","DOI":"10.1109\/TAES.2022.3153429"},{"key":"e_1_3_3_18_2","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2024.3357252"},{"key":"e_1_3_3_19_2","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2024.3365726"},{"key":"e_1_3_3_20_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2020.3025148"},{"key":"e_1_3_3_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ast.2024.109028"},{"issue":"2","key":"e_1_3_3_22_2","first-page":"479","article-title":"Asymptotic tracking control for nonaffine systems with disturbances","volume":"69","author":"Wang S.","year":"2022","unstructured":"Wang S. Asymptotic tracking control for nonaffine systems with disturbances. IEEE Trans Circuits Syst II Express Briefs 2022; 69(2): 479\u2013483.","journal-title":"IEEE Trans Circuits Syst II Express Briefs"},{"key":"e_1_3_3_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2024.06.002"},{"key":"e_1_3_3_24_2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/TIM.2023.3300430","article-title":"Tighter interval estimation for discrete-time linear systems with a new dynamic triggering approach","volume":"72","author":"Shen M","year":"2023","unstructured":"Shen M, Gu Y, Wang QG, et al. Tighter interval estimation for discrete-time linear systems with a new dynamic triggering approach. IEEE Trans Instrum Meas 2023; 72: 1\u201311.","journal-title":"IEEE Trans Instrum Meas"},{"key":"e_1_3_3_25_2","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.7265"},{"key":"e_1_3_3_26_2","doi-asserted-by":"publisher","DOI":"10.1115\/1.1850529"},{"key":"e_1_3_3_27_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2016.2633473"},{"key":"e_1_3_3_28_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2024.127554"},{"key":"e_1_3_3_29_2","volume-title":"Robust control and filtering of singular systems","author":"Xu S","year":"2006","unstructured":"Xu S, Lam J. Robust control and filtering of singular systems. Berlin: Springer, 2006."},{"key":"e_1_3_3_30_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2013.02.002"},{"key":"e_1_3_3_31_2","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.6820"},{"key":"e_1_3_3_32_2","volume-title":"Control of singular systems with random abrupt changes","author":"Boukas EK.","year":"2008","unstructured":"Boukas EK. Control of singular systems with random abrupt changes. Berlin: Springer, 2008."},{"issue":"7","key":"e_1_3_3_33_2","first-page":"3304","article-title":"A design framework of nonlinear H\u221e PD observer for one-sided Lipschitz singular systems with disturbances","volume":"69","author":"Mu Y","year":"2022","unstructured":"Mu Y, Zhang H, Yan Y, et al. A design framework of nonlinear H\u221e PD observer for one-sided Lipschitz singular systems with disturbances. IEEE Trans Circuits Syst II Express Briefs 2022; 69(7): 3304\u20133308.","journal-title":"IEEE Trans Circuits Syst II Express Briefs"}],"container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/09596518251341542","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/09596518251341542","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/09596518251341542","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T22:48:09Z","timestamp":1777675689000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/09596518251341542"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,7,4]]},"references-count":32,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2025,10]]}},"alternative-id":["10.1177\/09596518251341542"],"URL":"https:\/\/doi.org\/10.1177\/09596518251341542","relation":{},"ISSN":["0959-6518","2041-3041"],"issn-type":[{"value":"0959-6518","type":"print"},{"value":"2041-3041","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,7,4]]}}}