Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity
Input-output partial feedback linearisation is demonstrated experimentally for the first time on a system with non-smooth nonlinearity, a laboratory three degrees of freedom lumped mass system with a piecewise-linear spring. The output degree of freedom is located away from the nonlinearity so that...
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| Veröffentlicht in: | Journal of sound and vibration 2018-03, Vol.416, p.192-212 |
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| container_title | Journal of sound and vibration |
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| creator | Lisitano, D. Jiffri, S. Bonisoli, E. Mottershead, J.E. |
| description | Input-output partial feedback linearisation is demonstrated experimentally for the first time on a system with non-smooth nonlinearity, a laboratory three degrees of freedom lumped mass system with a piecewise-linear spring. The output degree of freedom is located away from the nonlinearity so that the partial feedback linearisation possesses nonlinear internal dynamics. The dynamic behaviour of the linearised part is specified by eigenvalue assignment and an investigation of the zero dynamics is carried out to confirm stability of the overall system. A tuned numerical model is developed for use in the controller and to produce numerical outputs for comparison with experimental closed-loop results. A new limitation of the feedback linearisation method is discovered in the case of lumped mass systems – that the input and output must share the same degrees of freedom. |
| doi_str_mv | 10.1016/j.jsv.2017.11.047 |
| format | Article |
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A new limitation of the feedback linearisation method is discovered in the case of lumped mass systems – that the input and output must share the same degrees of freedom.</description><subject>Active control</subject><subject>Closed loop systems</subject><subject>Degrees of freedom</subject><subject>Dynamic stability</subject><subject>Eigenvalues</subject><subject>Feedback</subject><subject>Feedback linearisation</subject><subject>Feedback linearization</subject><subject>Mathematical models</subject><subject>Non-smooth systems</subject><subject>Nonlinear systems</subject><subject>Nonlinearity</subject><subject>Numerical analysis</subject><subject>Studies</subject><issn>0022-460X</issn><issn>1095-8568</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp9UE1PwzAMjRBIjMEP4FaJc4udplknTmjiS5rEZYfdojR1IWVLRtIN9u_JtJ052c96z35-jN0iFAgo7_uij7uCA04KxALE5IyNEKZVXleyPmcjAM5zIWF5ya5i7AFgKkoxYsun3w0FuyY36FXWEbWNNl_ZyjrSwUY9WO8y32U629kmJOg-sriPA62zHzt8prnzLo9r7xNI7Uk47K_ZRadXkW5OdcwWz0-L2Ws-f395mz3Oc1PKeshr4lMtCeuSt7yZACJvEKecc9OIZJqk4VzWlRCJ3xmJnEwDNbRdrbXuyjG7O67dBP-9pTio3m-DSxcVB4kgSqyqxMIjywQfY6BObdLPOuwVgjrkp3qV8lOH_BSiSvklzcNRQ8n9zlJQ0VhyhlobyAyq9fYf9R_fpXk8</recordid><startdate>20180303</startdate><enddate>20180303</enddate><creator>Lisitano, D.</creator><creator>Jiffri, S.</creator><creator>Bonisoli, E.</creator><creator>Mottershead, J.E.</creator><general>Elsevier Ltd</general><general>Elsevier Science Ltd</general><scope>6I.</scope><scope>AAFTH</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>20180303</creationdate><title>Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity</title><author>Lisitano, D. ; Jiffri, S. ; Bonisoli, E. ; Mottershead, J.E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c368t-8e29a6e1832d2b70112b119222cb4002e6c2268544c36fc612ecb080df8aaaf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Active control</topic><topic>Closed loop systems</topic><topic>Degrees of freedom</topic><topic>Dynamic stability</topic><topic>Eigenvalues</topic><topic>Feedback</topic><topic>Feedback linearisation</topic><topic>Feedback linearization</topic><topic>Mathematical models</topic><topic>Non-smooth systems</topic><topic>Nonlinear systems</topic><topic>Nonlinearity</topic><topic>Numerical analysis</topic><topic>Studies</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lisitano, D.</creatorcontrib><creatorcontrib>Jiffri, S.</creatorcontrib><creatorcontrib>Bonisoli, E.</creatorcontrib><creatorcontrib>Mottershead, J.E.</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Journal of sound and vibration</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lisitano, D.</au><au>Jiffri, S.</au><au>Bonisoli, E.</au><au>Mottershead, J.E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity</atitle><jtitle>Journal of sound and vibration</jtitle><date>2018-03-03</date><risdate>2018</risdate><volume>416</volume><spage>192</spage><epage>212</epage><pages>192-212</pages><issn>0022-460X</issn><eissn>1095-8568</eissn><abstract>Input-output partial feedback linearisation is demonstrated experimentally for the first time on a system with non-smooth nonlinearity, a laboratory three degrees of freedom lumped mass system with a piecewise-linear spring. 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| ispartof | Journal of sound and vibration, 2018-03, Vol.416, p.192-212 |
| issn | 0022-460X 1095-8568 |
| language | eng |
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| source | Access via ScienceDirect (Elsevier) |
| subjects | Active control Closed loop systems Degrees of freedom Dynamic stability Eigenvalues Feedback Feedback linearisation Feedback linearization Mathematical models Non-smooth systems Nonlinear systems Nonlinearity Numerical analysis Studies |
| title | Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity |
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