{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,25]],"date-time":"2026-02-25T05:45:57Z","timestamp":1771998357237,"version":"3.50.1"},"reference-count":29,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"11","license":[{"start":{"date-parts":[[2021,11,1]],"date-time":"2021-11-01T00:00:00Z","timestamp":1635724800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2021,11,1]],"date-time":"2021-11-01T00:00:00Z","timestamp":1635724800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2021,11,1]],"date-time":"2021-11-01T00:00:00Z","timestamp":1635724800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61503096"],"award-info":[{"award-number":["61503096"]}],"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":["61803120"],"award-info":[{"award-number":["61803120"]}],"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":["61790564"],"award-info":[{"award-number":["61790564"]}],"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":["61773135"],"award-info":[{"award-number":["61773135"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100013314","name":"Higher Education Discipline Innovation Project","doi-asserted-by":"publisher","award":["B16014"],"award-info":[{"award-number":["B16014"]}],"id":[{"id":"10.13039\/501100013314","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Ind. Electron."],"published-print":{"date-parts":[[2021,11]]},"DOI":"10.1109\/tie.2020.3036240","type":"journal-article","created":{"date-parts":[[2020,11,12]],"date-time":"2020-11-12T20:59:08Z","timestamp":1605214748000},"page":"11359-11368","source":"Crossref","is-referenced-by-count":18,"title":["Modeling and Compensation Algorithms of Asymmetric Nonlinearity for Piezoelectric Actuators Based on Madelung's Rules"],"prefix":"10.1109","volume":"68","author":[{"given":"Rui","family":"Li","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9799-0535","authenticated-orcid":false,"given":"Kairui","family":"Cao","sequence":"additional","affiliation":[]},{"given":"Xinghu","family":"Yu","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3708-1305","authenticated-orcid":false,"given":"Ming","family":"Zeng","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TASE.2010.2081979"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.56.1518"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2002.1184616"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1088\/0964-1726\/25\/7\/075008"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.sna.2017.12.034"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TMECH.2017.2703167"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1049\/ip-cta:20010375"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.3166\/ejc.9.407-418"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2013.2257153"},{"key":"ref19","article-title":"A generalized Prandtl-Ishlinskii model for characterizing the hysteresis and saturation nonlinearities of smart actuators","volume":"18","author":"al-janaideh","year":"2009","journal-title":"Smart Mater Struct"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2018.2862828"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TASE.2010.2077675"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1115\/1.2907372"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/MCS.2013.2279473"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/0304-8853(86)90066-1"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2019.2958306"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TASE.2012.2215853"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/s11831-009-9031-8"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2010.2071391"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/MCS.2007.914688"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2018.2826450"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1115\/1.4000158"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/37.588158"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/20.489552"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2018.2879291"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1088\/0964-1726\/20\/8\/087003"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/20.774177"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TUFFC.2008.761"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"1439","DOI":"10.1088\/0960-1317\/14\/11\/001","article-title":"Tracking control of piezoelectric actuator based on a new mathematical model","volume":"14","author":"sun","year":"2004","journal-title":"J Micromech Microeng"}],"container-title":["IEEE Transactions on Industrial Electronics"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/41\/9502023\/09257474.pdf?arnumber=9257474","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,10]],"date-time":"2022-05-10T14:49:33Z","timestamp":1652194173000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9257474\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,11]]},"references-count":29,"journal-issue":{"issue":"11"},"URL":"https:\/\/doi.org\/10.1109\/tie.2020.3036240","relation":{},"ISSN":["0278-0046","1557-9948"],"issn-type":[{"value":"0278-0046","type":"print"},{"value":"1557-9948","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,11]]}}}