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A novel discrete-time event-triggered mechanism is first proposed, and then a new event-triggered state observer is designed to estimate the state vectors of a nonlinear system subject to unknown disturbances. Unlike traditional state estimation methods, the one in this article utilizes information on the output, which only updates when an event-triggered condition holds. By employing the Lyapunov\u2013Krasovskii approach and well-known inequalities, we derive a sufficient condition in terms of a convex optimization problem to guarantee the existence of the event-triggered state observer. Finally, the theoretical analysis of the proposed method is applied to estimate the state vector of the permanent magnet synchronous motor.<\/jats:p>","DOI":"10.1177\/09596518231191388","type":"journal-article","created":{"date-parts":[[2023,9,2]],"date-time":"2023-09-02T02:48:46Z","timestamp":1693622926000},"page":"563-570","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Discrete-time event-triggered state estimation of permanent magnet synchronous motor"],"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"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dang 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