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Firstly, the two\u2010degree\u2010of\u2010freedom magnetic bearing system model with uncertain parameter is established. The method of orthogonal polynomial approximation is used to obtain the equivalent magnetic bearing model which is deterministic. Secondly, combining mathematical analysis tools and numerical simulations, the Hopf bifurcation of the equivalent model is analyzed. Finally, a hybrid feedback control method (linear feedback control method combined with nonlinear stochastic feedback control method) is introduced to control the Hopf bifurcation behavior of the magnetic bearing system.<\/jats:p>","DOI":"10.1155\/2019\/1641953","type":"journal-article","created":{"date-parts":[[2019,12,5]],"date-time":"2019-12-05T23:30:28Z","timestamp":1575588628000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Hopf Bifurcation and Control of Magnetic Bearing System with Uncertain Parameter"],"prefix":"10.1155","volume":"2019","author":[{"given":"Jing","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2810-586X","authenticated-orcid":false,"given":"Shaojuan","family":"Ma","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peng","family":"Hao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hehui","family":"Yuan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2019,12,5]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1177\/1045389x08088666"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-005-7959-2"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.2002.5125"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0020-7403(03)00064-x"},{"key":"e_1_2_10_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7462(90)90051-a"},{"key":"e_1_2_10_6_2","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.2000.3257"},{"key":"e_1_2_10_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-013-0967-8"},{"key":"e_1_2_10_8_2","doi-asserted-by":"publisher","DOI":"10.1142\/s0218127401003437"},{"key":"e_1_2_10_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2008.09.041"},{"key":"e_1_2_10_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.04.003"},{"key":"e_1_2_10_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2009.12.011"},{"key":"e_1_2_10_12_2","doi-asserted-by":"publisher","DOI":"10.1299\/jsdd.1.295"},{"key":"e_1_2_10_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2018.07.030"},{"key":"e_1_2_10_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2017.02.040"},{"key":"e_1_2_10_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2016.11.022"},{"key":"e_1_2_10_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechatronics.2016.07.004"},{"key":"e_1_2_10_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2017.11.020"},{"key":"e_1_2_10_18_2","first-page":"400","article-title":"Analysis of unbalances forces using methods of identification and finite elements","volume":"5","author":"Da Oliveira L. 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