{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T02:29:19Z","timestamp":1767839359742,"version":"3.49.0"},"reference-count":21,"publisher":"SAGE Publications","issue":"7","license":[{"start":{"date-parts":[[2020,1,2]],"date-time":"2020-01-02T00:00:00Z","timestamp":1577923200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51575328"],"award-info":[{"award-number":["51575328"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2020,4]]},"abstract":"<jats:p>As a popular adaptive algorithm for active vibration control (AVC), filtered-x least mean square (FxLMS) algorithm sometimes fails to suppress multiple narrowband disturbance. To control multi-frequency structure vibration, parallel-form FxLMS algorithm can be employed. However, the conventional parallel-form FxLMS does not perform well in the situation of disturbance frequency mismatch and wideband measurement noise. For this issue, the majority of the improvement approaches are based on adaptive frequency estimator. It increased the computational burden of the parallel-form FxLMS algorithm. Therefore, taking the advantage of feedback control, a hybrid adaptive control for AVC is proposed in this paper. And the \u201cposterior\u201d residual error is adopted for better robustness. The convergence analysis of the hybrid AVC algorithm is given. Co-simulations with ADAMS and SIMULINK are implemented to verify the effectiveness in micro-vibration control system. Some comparison experiments are implemented in a micro-vibration AVC experimental system for several typical disturbances. Experimental results confirm the feasibility and effectiveness of the proposed algorithm.<\/jats:p>","DOI":"10.1177\/0142331219891578","type":"journal-article","created":{"date-parts":[[2020,1,2]],"date-time":"2020-01-02T03:12:30Z","timestamp":1577934750000},"page":"1417-1426","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":6,"title":["Multi-frequency micro-vibration control with hybrid adaptive control algorithm"],"prefix":"10.1177","volume":"42","author":[{"given":"Yubin","family":"Fang","sequence":"first","affiliation":[{"name":"School of Mechatronic Engineering and Automation, Shanghai University, PR China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6742-8085","authenticated-orcid":false,"given":"Xiaojin","family":"Zhu","sequence":"additional","affiliation":[{"name":"School of Mechatronic Engineering and Automation, Shanghai University, PR China"}]},{"given":"Jiaming","family":"Hu","sequence":"additional","affiliation":[{"name":"School of Mechatronic Engineering and Automation, Shanghai University, PR China"}]},{"given":"Zhiyuan","family":"Gao","sequence":"additional","affiliation":[{"name":"School of Mechatronic Engineering and Automation, Shanghai University, PR China"}]},{"given":"Hesheng","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mechatronic Engineering and Automation, Shanghai University, PR China"}]}],"member":"179","published-online":{"date-parts":[[2020,1,2]]},"reference":[{"key":"e_1_3_2_2_1","doi-asserted-by":"publisher","DOI":"10.1109\/TASL.2013.2263143"},{"key":"e_1_3_2_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.apacoust.2017.10.026"},{"issue":"5","key":"e_1_3_2_4_1","first-page":"993","article-title":"Comments on \u201ccomplete parallel narrowband active noise control systems\u201d","volume":"22","author":"Cheer J","year":"2014","unstructured":"Cheer J, Elliott S (2014) Comments on \u201ccomplete parallel narrowband active noise control systems\u201d. 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