{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T15:27:36Z","timestamp":1773761256350,"version":"3.50.1"},"reference-count":22,"publisher":"SAGE Publications","issue":"7","license":[{"start":{"date-parts":[[2024,4,1]],"date-time":"2024-04-01T00:00:00Z","timestamp":1711929600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"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":[[2024,8]]},"abstract":"<jats:p> The problem of designing event-triggered natural second-order state observers for second-order vector systems subject to external disturbances is considered in this paper. In this work, state observer is constructed using discrete measurements at instants when an event-triggered condition is satisfied. Due to the errors that arise by using the event-triggered mechanism and the external disturbance, the method in this paper only robustly estimates the state position and the state velocity of the second-order vector observers instead of estimating them asymptotically. Instead of using the method based on a parameter-dependent Lyapunov function in investigating the stability of the dynamic error system of natural second-order observers, a convex optimization problem is established in this paper to give an event-triggered mechanism and minimized levels in evaluating the boundedness of the dynamic error system of the event-triggered natural second-order observers. An automobile suspension and two numerical examples demonstrate the effectiveness of the proposed method. <\/jats:p>","DOI":"10.1177\/09596518241236938","type":"journal-article","created":{"date-parts":[[2024,4,1]],"date-time":"2024-04-01T10:54:10Z","timestamp":1711968850000},"page":"1219-1230","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":6,"title":["Design of event-triggered natural second-order observers for second-order vector systems"],"prefix":"10.1177","volume":"238","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2028-3784","authenticated-orcid":false,"given":"Dinh Cong","family":"Huong","sequence":"first","affiliation":[{"name":"Faculty of Automotive Engineering Technology, Industrial University of Ho Chi Minh City, Ho Chi Minh City, Vietnam"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8668-3145","authenticated-orcid":false,"given":"Van Thanh","family":"Huynh","sequence":"additional","affiliation":[{"name":"School of Engineering, Deakin University, Waurn Ponds, VIC, Australia"}]},{"given":"Hieu","family":"Trinh","sequence":"additional","affiliation":[{"name":"School of Engineering, Deakin University, Waurn Ponds, VIC, Australia"}]}],"member":"179","published-online":{"date-parts":[[2024,4,1]]},"reference":[{"key":"bibr1-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2023.3284917"},{"key":"bibr2-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-24064-5"},{"key":"bibr3-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2006.876465"},{"key":"bibr4-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2012.11.029"},{"key":"bibr5-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2012.05.027"},{"key":"bibr6-09596518241236938","volume-title":"Dynamic systems control: linear systems analysis and synthesis","author":"Skelton RE","year":"1998"},{"key":"bibr7-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2003.08.005"},{"key":"bibr8-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2004.02.002"},{"key":"bibr9-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2021.108060"},{"key":"bibr10-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2019.0246"},{"key":"bibr11-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2023.3277703"},{"key":"bibr12-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-45658-0"},{"key":"bibr13-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2020.2988051"},{"key":"bibr14-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1109\/JSYST.2021.3075981"},{"key":"bibr15-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2023.3237625"},{"key":"bibr16-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1177\/09596518221118179"},{"key":"bibr17-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1177\/09596518221105667"},{"key":"bibr18-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2017.2754340"},{"key":"bibr19-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1177\/09596518221142178"},{"key":"bibr20-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.5320"},{"key":"bibr21-09596518241236938","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.5467"},{"key":"bibr22-09596518241236938","volume-title":"Nonlinear systems","author":"Khalil HK","year":"2002","edition":"3"}],"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\/09596518241236938","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/09596518241236938","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/09596518241236938","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,2]],"date-time":"2025-03-02T04:07:23Z","timestamp":1740888443000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/09596518241236938"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,1]]},"references-count":22,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2024,8]]}},"alternative-id":["10.1177\/09596518241236938"],"URL":"https:\/\/doi.org\/10.1177\/09596518241236938","relation":{},"ISSN":["0959-6518","2041-3041"],"issn-type":[{"value":"0959-6518","type":"print"},{"value":"2041-3041","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,4,1]]}}}