Partial eigenstructure assignment problem for vibration system via feedback control
The partial eigenstructure assignment problem is to replace a small number of eigenvalues and eigenvectors of system while the remaining eigenvalues and corresponding eigenvectors are kept unchanged. The paper studies partial eigenstructure assignment problem for vibration system via acceleration–ve...
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| Veröffentlicht in: | Asian journal of control 2022-01, Vol.24 (1), p.297-308 |
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| creator | Yu, Peizhao |
| description | The partial eigenstructure assignment problem is to replace a small number of eigenvalues and eigenvectors of system while the remaining eigenvalues and corresponding eigenvectors are kept unchanged. The paper studies partial eigenstructure assignment problem for vibration system via acceleration–velocity feedback control. Two new orthogonality relations are established to construct a feedback control law which can solve the proposed partial eigenstructure assignment problem. The solvability condition and parametric expressions of feedback gains are derived for solving this problem. The minimum norm partial eigenstructure assignment problem is further considered by using gradient‐based optimization method. An optimization algorithm is proposed for solving the minimum norm partial eigenstructure assignment problem. Numerical examples are provided to show the effectiveness of the algorithm. |
| doi_str_mv | 10.1002/asjc.2469 |
| format | Article |
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The paper studies partial eigenstructure assignment problem for vibration system via acceleration–velocity feedback control. Two new orthogonality relations are established to construct a feedback control law which can solve the proposed partial eigenstructure assignment problem. The solvability condition and parametric expressions of feedback gains are derived for solving this problem. The minimum norm partial eigenstructure assignment problem is further considered by using gradient‐based optimization method. An optimization algorithm is proposed for solving the minimum norm partial eigenstructure assignment problem. 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Numerical examples are provided to show the effectiveness of the algorithm.</description><subject>Acceleration</subject><subject>Algorithms</subject><subject>Assignment problem</subject><subject>Control systems</subject><subject>Control theory</subject><subject>Eigenvalues</subject><subject>Eigenvectors</subject><subject>Feedback control</subject><subject>gradient‐based method</subject><subject>minimum norm</subject><subject>Operations research</subject><subject>Optimization</subject><subject>Orthogonality</subject><subject>partial eigenstructure assignment</subject><subject>Vibration</subject><subject>vibration system</subject><issn>1561-8625</issn><issn>1934-6093</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1kE1LAzEQhoMoWKsH_0HAk4dt87GbTY6laFUKCtVzSLKzJXW7W5Nspf_erfXqaYbhmZmXB6FbSiaUEDY1ceMmLBfqDI2o4nkmiOLnQ18ImknBikt0FeOGEEG5LEZo9WZC8qbB4NfQxhR6l_oA2MTo1-0W2oR3obMNbHHdBbz3NpjkuxbHQ0zDcO8NrgEqa9wndl2bQtdco4vaNBFu_uoYfTw-vM-fsuXr4nk-W2aOqVJlIA2phFKK28rJmhWVkYYzy6vSlJyBlbTkBfCiFnlNclJY5ZgriaqccgQIH6O7090h4VcPMelN14d2eKmZoCXNFZNsoO5PlAtdjAFqvQt-a8JBU6KPzvTRmT46G9jpif32DRz-B_Vs9TL_3fgBmD9vfg</recordid><startdate>202201</startdate><enddate>202201</enddate><creator>Yu, Peizhao</creator><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>JQ2</scope><orcidid>https://orcid.org/0000-0003-1974-6729</orcidid></search><sort><creationdate>202201</creationdate><title>Partial eigenstructure assignment problem for vibration system via feedback control</title><author>Yu, Peizhao</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2979-e8a0d69993bdc8f25da8a32b3d7a732eb81735e35f64f0405b9c2c709dc9c0e03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Acceleration</topic><topic>Algorithms</topic><topic>Assignment problem</topic><topic>Control systems</topic><topic>Control theory</topic><topic>Eigenvalues</topic><topic>Eigenvectors</topic><topic>Feedback control</topic><topic>gradient‐based method</topic><topic>minimum norm</topic><topic>Operations research</topic><topic>Optimization</topic><topic>Orthogonality</topic><topic>partial eigenstructure assignment</topic><topic>Vibration</topic><topic>vibration system</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yu, Peizhao</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Computer Science Collection</collection><jtitle>Asian journal of control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yu, Peizhao</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Partial eigenstructure assignment problem for vibration system via feedback control</atitle><jtitle>Asian journal of control</jtitle><date>2022-01</date><risdate>2022</risdate><volume>24</volume><issue>1</issue><spage>297</spage><epage>308</epage><pages>297-308</pages><issn>1561-8625</issn><eissn>1934-6093</eissn><abstract>The partial eigenstructure assignment problem is to replace a small number of eigenvalues and eigenvectors of system while the remaining eigenvalues and corresponding eigenvectors are kept unchanged. 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| issn | 1561-8625 1934-6093 |
| language | eng |
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| subjects | Acceleration Algorithms Assignment problem Control systems Control theory Eigenvalues Eigenvectors Feedback control gradient‐based method minimum norm Operations research Optimization Orthogonality partial eigenstructure assignment Vibration vibration system |
| title | Partial eigenstructure assignment problem for vibration system via feedback control |
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