{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,5]],"date-time":"2026-06-05T00:29:15Z","timestamp":1780619355893,"version":"3.54.1"},"reference-count":27,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2020,8,25]],"date-time":"2020-08-25T00:00:00Z","timestamp":1598313600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"name":"Science and the Program of Qingjiang Excellent Young Talents, Jiangxi University of Science and Technology","award":["Grant No. JXUSTQJBJ2018006"],"award-info":[{"award-number":["Grant No. JXUSTQJBJ2018006"]}]},{"DOI":"10.13039\/501100004479","name":"Jiangxi Natural Science Foundation","doi-asserted-by":"crossref","award":["Grant No. 2017BAB206029"],"award-info":[{"award-number":["Grant No. 2017BAB206029"]}],"id":[{"id":"10.13039\/501100004479","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Jiangxi Outstanding Young Talents Subsidy Project","award":["Grant No. 20171BCB23063"],"award-info":[{"award-number":["Grant No. 20171BCB23063"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["Grant Nos. 51865016, 51565016"],"award-info":[{"award-number":["Grant Nos. 51865016, 51565016"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"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":[[2021,2]]},"abstract":"<jats:p>The inherent hysteresis nonlinearity of piezoelectric actuator degrades the positioning accuracy of the micro-positioning stage. Prandtl\u2013Ishlinskii model is widely used for piezoelectric hysteresis modeling, yet it is a rate-independent model with weak generalization ability. To overcome this problem, we proposed a convolutional neural network model based on the Prandtl\u2013Ishlinskii model, which consists of a rate-dependent Prandtl\u2013Ishlinskii model layer and convolutional network layer. The rate-dependent Prandtl\u2013Ishlinskii model layer extends the traditional Prandtl\u2013Ishlinskii model to describe the rate-dependent hysteresis behavior. The convolutional network layer with deep learning ability extracts the deep features of the input signal to improve the generalization ability of the hysteresis model. The experiment results indicate that the standard error of the proposed hysteresis model to predict displacement at unmodeled frequencies has been reduced by 18.74%\u201336.75% in comparison with the Prandtl\u2013Ishlinskii model, which verifies that the proposed hysteresis model has not only higher accuracy but also stronger generalization ability.<\/jats:p>","DOI":"10.1177\/0959651820950845","type":"journal-article","created":{"date-parts":[[2020,8,26]],"date-time":"2020-08-26T02:13:25Z","timestamp":1598408005000},"page":"170-179","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":8,"title":["Hysteresis modeling of piezoelectric micro-positioning stage based on convolutional neural network"],"prefix":"10.1177","volume":"235","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1711-5475","authenticated-orcid":false,"given":"Junfeng","family":"Hu","sequence":"first","affiliation":[{"name":"School of Mechanical and Electrical Engineering, Jiangxi University of Science and Technology, Ganzhou, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuan","family":"Zhong","sequence":"additional","affiliation":[{"name":"School of Mechanical and Electrical Engineering, Jiangxi University of Science and Technology, Ganzhou, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mingli","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Mechanical and Electrical Engineering, Jiangxi University of Science and Technology, Ganzhou, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"179","published-online":{"date-parts":[[2020,8,25]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/TASE.2017.2772221"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-171699"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2018.2826450"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1177\/0959651818771810"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1177\/0263092317719634"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2012.2206029"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1177\/0959651818791071"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2013.2257153"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2015.2446959"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1177\/0959651818781272"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.sna.2015.04.018"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2014.2386779"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.precisioneng.2015.08.010"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.5038591"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1088\/0964-1726\/24\/12\/125006"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.4941941"},{"key":"e_1_3_2_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2017.09.004"},{"key":"e_1_3_2_19_2","doi-asserted-by":"publisher","DOI":"10.1088\/1361-665X\/aabd4d"},{"key":"e_1_3_2_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physb.2011.07.061"},{"key":"e_1_3_2_21_2","first-page":"1404","article-title":"Modeling hysteresis for piezoelectric actuators","volume":"27","author":"Ma L","year":"2016","unstructured":"Ma L, Shen Y, Li J, et al. Modeling hysteresis for piezoelectric actuators. J Intell Mater Syst Struct 2016; 27: 1404\u20131411.","journal-title":"J Intell"},{"key":"e_1_3_2_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.sna.2017.07.058"},{"key":"e_1_3_2_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2009.05.002"},{"key":"e_1_3_2_24_2","first-page":"119","volume-title":"Proceedings of the 6th international conference on manipulation, manufacturing and measurement on the nanoscale (3M-NANO)","author":"Wu Y","unstructured":"Wu Y, Fang Y, Ren X, et al. Back propagation neural networks based hysteresis modeling and compensation for a piezoelectric scanner. In: Proceedings of the 6th international conference on manipulation, manufacturing and measurement on the nanoscale (3M-NANO), Chongqing, China, 18\u201322 July 2017, pp.119\u2013124. 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