{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:29:58Z","timestamp":1760236198364,"version":"build-2065373602"},"reference-count":26,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2021,10,30]],"date-time":"2021-10-30T00:00:00Z","timestamp":1635552000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation (NNSF) of China","award":["61803036","61903004"],"award-info":[{"award-number":["61803036","61903004"]}]},{"DOI":"10.13039\/501100004826","name":"Beijing Municipal Natural Science Foundation","doi-asserted-by":"publisher","award":["4204098","4212035"],"award-info":[{"award-number":["4204098","4212035"]}],"id":[{"id":"10.13039\/501100004826","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Beijing Information Science and Technology University Scientific Research Classified Development Program","award":["2121YJPY214"],"award-info":[{"award-number":["2121YJPY214"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This study proposes a data-driven adaptive filtering method for the fault diagnosis (DDAF-FD) of discrete-time nonlinear systems and provides a simultaneous online estimation of actuator and sensor faults. First, dynamic linearization was adopted to transform the nonlinear system into a quasi-linear model, which facilitated accurate modeling of the nonlinear system. Second, a data-driven adaptive fault diagnosis method was designed under the framework of data-driven filtering and the recursive least-squares algorithm using system I\/O data only, and accurate real-time estimation of two fault factors was achieved. In addition, the simulation results demonstrate the effectiveness of the proposed method. The stability was verified via the Lyapunov method.<\/jats:p>","DOI":"10.3390\/sym13112047","type":"journal-article","created":{"date-parts":[[2021,11,2]],"date-time":"2021-11-02T22:17:23Z","timestamp":1635891443000},"page":"2047","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Data-Driven Kalman Filtering in Nonlinear Systems with Actuator and Sensor Fault Diagnosis Based on Lyapunov Stability"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4324-1173","authenticated-orcid":false,"given":"Lingling","family":"Fan","sequence":"first","affiliation":[{"name":"School of Automation, Beijing Information Science & Technology University, Beijing 100192, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kaipu","family":"Guo","sequence":"additional","affiliation":[{"name":"School of Automation, Beijing Information Science & Technology University, Beijing 100192, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Honghai","family":"Ji","sequence":"additional","affiliation":[{"name":"Beijing Key Laboratory for Urban Road Traffic Intelligent Control Technology, North China University of Technology, Beijing 100144, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shida","family":"Liu","sequence":"additional","affiliation":[{"name":"Beijing Key Laboratory for Urban Road Traffic Intelligent Control Technology, North China University of Technology, Beijing 100144, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuzhou","family":"Wei","sequence":"additional","affiliation":[{"name":"Beijing Key Laboratory for Urban Road Traffic Intelligent Control Technology, North China University of Technology, Beijing 100144, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,10,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2337","DOI":"10.1177\/0954410020926662","article-title":"Research on probabilistic risk assessment of aeroengine rotor failure","volume":"234","author":"Guo","year":"2020","journal-title":"Proc. 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