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The problems are transformed into solving matrix equations using the receptance matrix method. Iterative sequences are constructed, and the iterative feasibility is presented for solving the matrix equations. The partial eigenvectors of the closed-loop system are reassigned by imposing modal constraints. An algorithm is proposed to get numerical solutions of the derived matrix equations. The initial value condition is discussed to obtain the minimum norm solution of the partial eigenstructure assignment problems. The designed acceleration\u2013velocity\u2013displacement active control can solve the partial eigenstructure assignment problems depending only on original vibrating structure information. The proposed numerical algorithm can obtain the minimum norms of controller gain, which implies minimum energy consumption. Numerical examples are given to illustrate the effectiveness of the proposed methods.<\/jats:p>","DOI":"10.1177\/01423312211064674","type":"journal-article","created":{"date-parts":[[2021,12,30]],"date-time":"2021-12-30T06:00:38Z","timestamp":1640844038000},"page":"1836-1852","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":11,"title":["Numerical approach for partial eigenstructure assignment problems in singular vibrating structure using active control"],"prefix":"10.1177","volume":"44","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1974-6729","authenticated-orcid":false,"given":"Peizhao","family":"Yu","sequence":"first","affiliation":[{"name":"College of Electrical and Information Engineering, Zhengzhou University of Light Industry, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chuang","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Electrical and Information Engineering, Zhengzhou University of Light Industry, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mengmeng","family":"Li","sequence":"additional","affiliation":[{"name":"College of Electrical and Information Engineering, Zhengzhou University of Light Industry, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2021,12,30]]},"reference":[{"key":"e_1_3_3_2_1","doi-asserted-by":"publisher","DOI":"10.1115\/1.4026876"},{"key":"e_1_3_3_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2014.11.015"},{"key":"e_1_3_3_4_1","doi-asserted-by":"publisher","DOI":"10.1115\/1.4032877"},{"key":"e_1_3_3_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/s40313-019-00479-6"},{"key":"e_1_3_3_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2016.02.014"},{"key":"e_1_3_3_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2016.11.020"},{"key":"e_1_3_3_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2012.10.015"},{"key":"e_1_3_3_9_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2009.09.014"},{"key":"e_1_3_3_10_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2018.04.029"},{"key":"e_1_3_3_11_1","doi-asserted-by":"publisher","DOI":"10.1002\/nla.745"},{"key":"e_1_3_3_12_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1934-6093.2002.tb00341.x"},{"key":"e_1_3_3_13_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-6397-0"},{"issue":"3","key":"e_1_3_3_14_1","first-page":"301","article-title":"Eigenstructure assignment for second-order systems based on displacement-plus-acceleration feedback","volume":"45","author":"Gu DK","year":"2016","unstructured":"Gu DK, Zang JX, Duan GR (2016) Eigenstructure assignment for second-order systems based on displacement-plus-acceleration feedback. 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