{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T14:35:45Z","timestamp":1762353345589,"version":"build-2065373602"},"reference-count":51,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2023,4,30]],"date-time":"2023-04-30T00:00:00Z","timestamp":1682812800000},"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":["51905349","U2013603","52205569","2022A1515010126","2020A1515011509","LQ22E050003","2020Z110","2022Z057","2022Z002","CY2023328","2022TSGC2364"],"award-info":[{"award-number":["51905349","U2013603","52205569","2022A1515010126","2020A1515011509","LQ22E050003","2020Z110","2022Z057","2022Z002","CY2023328","2022TSGC2364"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Guangdong Basic and Applied Basic Research Foundation","award":["51905349","U2013603","52205569","2022A1515010126","2020A1515011509","LQ22E050003","2020Z110","2022Z057","2022Z002","CY2023328","2022TSGC2364"],"award-info":[{"award-number":["51905349","U2013603","52205569","2022A1515010126","2020A1515011509","LQ22E050003","2020Z110","2022Z057","2022Z002","CY2023328","2022TSGC2364"]}]},{"name":"Zhejiang Provincial Natural Science Foundation of China","award":["51905349","U2013603","52205569","2022A1515010126","2020A1515011509","LQ22E050003","2020Z110","2022Z057","2022Z002","CY2023328","2022TSGC2364"],"award-info":[{"award-number":["51905349","U2013603","52205569","2022A1515010126","2020A1515011509","LQ22E050003","2020Z110","2022Z057","2022Z002","CY2023328","2022TSGC2364"]}]},{"name":"Ningbo Science and Technology Major Project","award":["51905349","U2013603","52205569","2022A1515010126","2020A1515011509","LQ22E050003","2020Z110","2022Z057","2022Z002","CY2023328","2022TSGC2364"],"award-info":[{"award-number":["51905349","U2013603","52205569","2022A1515010126","2020A1515011509","LQ22E050003","2020Z110","2022Z057","2022Z002","CY2023328","2022TSGC2364"]}]},{"name":"Chuying Planning Project of Zhejiang Provincial Administration for Market Regulation","award":["51905349","U2013603","52205569","2022A1515010126","2020A1515011509","LQ22E050003","2020Z110","2022Z057","2022Z002","CY2023328","2022TSGC2364"],"award-info":[{"award-number":["51905349","U2013603","52205569","2022A1515010126","2020A1515011509","LQ22E050003","2020Z110","2022Z057","2022Z002","CY2023328","2022TSGC2364"]}]},{"name":"Shandong Provincial Innovation Ability Improvement Project of Middle and Small-sized High-tech Enterprises","award":["51905349","U2013603","52205569","2022A1515010126","2020A1515011509","LQ22E050003","2020Z110","2022Z057","2022Z002","CY2023328","2022TSGC2364"],"award-info":[{"award-number":["51905349","U2013603","52205569","2022A1515010126","2020A1515011509","LQ22E050003","2020Z110","2022Z057","2022Z002","CY2023328","2022TSGC2364"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Stochastic resonance (SR), as a type of noise-assisted signal processing method, has been widely applied in weak signal detection and mechanical weak fault diagnosis. In order to further improve the weak signal detection performance of SR-based approaches and realize high-performance weak fault diagnosis, a global parameter optimization (GPO) model of a cascaded SR system is proposed in this work. The cascaded SR systems, which involve multiple multi-parameter-adjusting SR systems with both bistable and tri-stable potential functions, are first introduced. The fixed-parameter optimization (FPO) model and the GPO models of the cascaded systems to achieve optimal SR outputs are proposed based on the particle swarm optimization (PSO) algorithm. Simulated results show that the GPO model is capable of achieving a better SR output compared to the FPO model with rather good robustness and stability in detecting low signal-to-noise ratio (SNR) weak signals, and the tri-stable cascaded SR system has a better weak signal detection performance compared to the bistable cascaded SR system. Furthermore, the weak fault diagnosis approach based on the GPO model of the tri-stable cascaded system is proposed, and two rolling bearing weak fault diagnosis experiments are performed, thus verifying the effectiveness of the proposed approach in high-performance adaptive weak fault diagnosis.<\/jats:p>","DOI":"10.3390\/s23094429","type":"journal-article","created":{"date-parts":[[2023,5,1]],"date-time":"2023-05-01T12:12:11Z","timestamp":1682943131000},"page":"4429","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["High-Performance Adaptive Weak Fault Diagnosis Based on the Global Parameter Optimization Model of a Cascaded Stochastic Resonance System"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4729-9604","authenticated-orcid":false,"given":"Zhihui","family":"Lai","sequence":"first","affiliation":[{"name":"Shenzhen Key Laboratory of High Performance Nontraditional Manufacturing, College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, China"},{"name":"Guangdong Key Laboratory of Electromagnetic Control and Intelligent Robots, College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, China"}]},{"given":"Zhangjun","family":"Huang","sequence":"additional","affiliation":[{"name":"Shenzhen Key Laboratory of High Performance Nontraditional Manufacturing, College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, China"},{"name":"Guangdong Key Laboratory of Electromagnetic Control and Intelligent Robots, College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, China"}]},{"given":"Min","family":"Xu","sequence":"additional","affiliation":[{"name":"Ningbo Cigarette Factory, China Tobacco Zhejiang Industry Co., Ltd., Ningbo 315040, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0557-6338","authenticated-orcid":false,"given":"Chen","family":"Wang","sequence":"additional","affiliation":[{"name":"Shenzhen Key Laboratory of High Performance Nontraditional Manufacturing, College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, China"},{"name":"Guangdong Key Laboratory of Electromagnetic Control and Intelligent Robots, College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4997-0801","authenticated-orcid":false,"given":"Junchen","family":"Xu","sequence":"additional","affiliation":[{"name":"Shenzhen Key Laboratory of High Performance Nontraditional Manufacturing, College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, China"},{"name":"Guangdong Key Laboratory of Electromagnetic Control and Intelligent Robots, College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, China"}]},{"given":"Cailiang","family":"Zhang","sequence":"additional","affiliation":[{"name":"Ocean College, Zhejiang University, Zhoushan 316021, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4211-3364","authenticated-orcid":false,"given":"Ronghua","family":"Zhu","sequence":"additional","affiliation":[{"name":"Ocean College, Zhejiang University, Zhoushan 316021, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3667-9134","authenticated-orcid":false,"given":"Zijian","family":"Qiao","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo 315211, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,4,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1016\/j.cjph.2020.05.009","article-title":"Weak fault feature extraction method based on compound tri-stable stochastic resonance","volume":"66","author":"Tang","year":"2020","journal-title":"Chin. 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