{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T18:08:47Z","timestamp":1773511727901,"version":"3.50.1"},"reference-count":33,"publisher":"MDPI AG","issue":"13","license":[{"start":{"date-parts":[[2023,6,26]],"date-time":"2023-06-26T00:00:00Z","timestamp":1687737600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["92266203"],"award-info":[{"award-number":["92266203"]}],"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":["ZD2020156"],"award-info":[{"award-number":["ZD2020156"]}],"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":["BJ2021045"],"award-info":[{"award-number":["BJ2021045"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Science and Technology Project of Hebei Education Department","award":["92266203"],"award-info":[{"award-number":["92266203"]}]},{"name":"Science and Technology Project of Hebei Education Department","award":["ZD2020156"],"award-info":[{"award-number":["ZD2020156"]}]},{"name":"Science and Technology Project of Hebei Education Department","award":["BJ2021045"],"award-info":[{"award-number":["BJ2021045"]}]},{"name":"Scientific Research Program for Young Outstanding Talent of Higher Education of Hebei Province","award":["92266203"],"award-info":[{"award-number":["92266203"]}]},{"name":"Scientific Research Program for Young Outstanding Talent of Higher Education of Hebei Province","award":["ZD2020156"],"award-info":[{"award-number":["ZD2020156"]}]},{"name":"Scientific Research Program for Young Outstanding Talent of Higher Education of Hebei Province","award":["BJ2021045"],"award-info":[{"award-number":["BJ2021045"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>This study proposes a remaining useful life (RUL) prediction method using limited degradation data with an unknown degradation model for hydraulic pumps with long service lives and no failure data in turbine control systems. The volumetric efficiency is calculated based on real-time monitoring signal data, and it is used as the degradation indicator. The optimal degradation curve is established using the degradation trajectory model, and the optimal probability distribution model is selected via the K-S test. The above process was repeated to optimize the degradation model and update parameters in different performance degradation stages of the hydraulic pump, providing quantification of the prediction uncertainty and enabling accurate online prediction of the hydraulic pump\u2019s RUL. Finally, an RUL test bench for hydraulic pumps is built for verification. The results show that the proposed method is convenient, efficient, and has low model complexity. The method enables online accurate prediction of the RUL of hydraulic pumps using only limited degradation data, with a prediction accuracy of over 85%, which meets practical application requirements.<\/jats:p>","DOI":"10.3390\/s23135931","type":"journal-article","created":{"date-parts":[[2023,6,27]],"date-time":"2023-06-27T02:11:22Z","timestamp":1687831882000},"page":"5931","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["The Remaining Useful Life Prediction Method of a Hydraulic Pump under Unknown Degradation Model with Limited Data"],"prefix":"10.3390","volume":"23","author":[{"given":"Fenghe","family":"Wu","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, China"},{"name":"Heavy-Duty Intelligent Manufacturing Equipment Innovation Center of Hebei Province, Yanshan University, Qinhuangdao 066004, China"}]},{"given":"Jun","family":"Tang","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0202-7306","authenticated-orcid":false,"given":"Zhanpeng","family":"Jiang","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7510-2314","authenticated-orcid":false,"given":"Yingbing","family":"Sun","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, China"},{"name":"Heavy-Duty Intelligent Manufacturing Equipment Innovation Center of Hebei Province, Yanshan University, Qinhuangdao 066004, China"}]},{"given":"Zhen","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, China"}]},{"given":"Baosu","family":"Guo","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, China"},{"name":"Heavy-Duty Intelligent Manufacturing Equipment Innovation Center of Hebei Province, Yanshan University, Qinhuangdao 066004, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,6,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Yang, Y., Ding, L., Xiao, J., Fang, G., and Li, J. 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