Design and simulation of robust and adaptive controls for a nonlinear string system
In this paper, vibration control of a nonlinear string system is considered. The system consists of a nonlinear string, two boundary supporting mechanisms, and a moving transporter at the base. To suppress the vibration, boundary control designs are carried out. A new robust and adaptive boundary co...
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Veröffentlicht in: | Journal of vibration and acoustics 2004, Vol.126 (1), p.54-62 |
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creator | WEIWEI JIN ZHIHUA QU LIN, Kuo-Chi |
description | In this paper, vibration control of a nonlinear string system is considered. The system consists of a nonlinear string, two boundary supporting mechanisms, and a moving transporter at the base. To suppress the vibration, boundary control designs are carried out. A new robust and adaptive boundary controller is designed using the Lyapunov direct method. The proposed control is implemented at the two ends supporting the string to compensate for vibration induced by the base motion. It is shown that the adaptive/robust boundary control can asymptotically stabilize the nonlinear string. Numerical simulation of the closed loop system demonstrates the effectiveness of the proposed control. |
doi_str_mv | 10.1115/1.1640353 |
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The system consists of a nonlinear string, two boundary supporting mechanisms, and a moving transporter at the base. To suppress the vibration, boundary control designs are carried out. A new robust and adaptive boundary controller is designed using the Lyapunov direct method. The proposed control is implemented at the two ends supporting the string to compensate for vibration induced by the base motion. It is shown that the adaptive/robust boundary control can asymptotically stabilize the nonlinear string. 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The system consists of a nonlinear string, two boundary supporting mechanisms, and a moving transporter at the base. To suppress the vibration, boundary control designs are carried out. A new robust and adaptive boundary controller is designed using the Lyapunov direct method. The proposed control is implemented at the two ends supporting the string to compensate for vibration induced by the base motion. It is shown that the adaptive/robust boundary control can asymptotically stabilize the nonlinear string. Numerical simulation of the closed loop system demonstrates the effectiveness of the proposed control.</description><subject>Acoustics</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Physics</subject><subject>Solid mechanics</subject><subject>Structural acoustics and vibration</subject><subject>Structural and continuum mechanics</subject><subject>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><issn>1048-9002</issn><issn>1528-8927</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><recordid>eNotj01LAzEURYMoWKsL_0E2upuaj2YmWUq1KhRcqOvhTSYpKTNJzcsI_fcW7eoeuIcLl5Bbzhacc_XAF7xeMqnkGZlxJXSljWjOj8yWujKMiUtyhbhjjEup1Ix8PDkM20gh9hTDOA1QQoo0eZpTN2H5K6CHfQk_jtoUS04DUp8yBRpTHEJ0kCmWHOKW4gGLG6_JhYcB3c0p5-Rr_fy5eq027y9vq8dNtZPMlKrpnXLAlkpp21jjQVipnLKa9b13UmvlaulqX3cCZG-17Uzju15zK4wVspNzcv-_u8_pe3JY2jGgdcMA0aUJW6G5MMf_R_HuJAJaGHyGaAO2-xxGyIeWK8UboZn8Baj9YIw</recordid><startdate>2004</startdate><enddate>2004</enddate><creator>WEIWEI JIN</creator><creator>ZHIHUA QU</creator><creator>LIN, Kuo-Chi</creator><general>American Society of Mechanical Engineers</general><scope>IQODW</scope><scope>7SM</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>2004</creationdate><title>Design and simulation of robust and adaptive controls for a nonlinear string system</title><author>WEIWEI JIN ; ZHIHUA QU ; LIN, Kuo-Chi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-j309t-7de5ea04558c7c9fa2c35e5c80ddfe3885e63e6f6b2a3dc8cb97fbd81c29c23b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Acoustics</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Physics</topic><topic>Solid mechanics</topic><topic>Structural acoustics and vibration</topic><topic>Structural and continuum mechanics</topic><topic>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>WEIWEI JIN</creatorcontrib><creatorcontrib>ZHIHUA QU</creatorcontrib><creatorcontrib>LIN, Kuo-Chi</creatorcontrib><collection>Pascal-Francis</collection><collection>Earthquake Engineering Abstracts</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 vibration and acoustics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>WEIWEI JIN</au><au>ZHIHUA QU</au><au>LIN, Kuo-Chi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Design and simulation of robust and adaptive controls for a nonlinear string system</atitle><jtitle>Journal of vibration and acoustics</jtitle><date>2004</date><risdate>2004</risdate><volume>126</volume><issue>1</issue><spage>54</spage><epage>62</epage><pages>54-62</pages><issn>1048-9002</issn><eissn>1528-8927</eissn><abstract>In this paper, vibration control of a nonlinear string system is considered. The system consists of a nonlinear string, two boundary supporting mechanisms, and a moving transporter at the base. To suppress the vibration, boundary control designs are carried out. A new robust and adaptive boundary controller is designed using the Lyapunov direct method. The proposed control is implemented at the two ends supporting the string to compensate for vibration induced by the base motion. It is shown that the adaptive/robust boundary control can asymptotically stabilize the nonlinear string. Numerical simulation of the closed loop system demonstrates the effectiveness of the proposed control.</abstract><cop>New York, NY</cop><pub>American Society of Mechanical Engineers</pub><doi>10.1115/1.1640353</doi><tpages>9</tpages></addata></record> |
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source | ASME Transactions Journals (Current) |
subjects | Acoustics Exact sciences and technology Fundamental areas of phenomenology (including applications) Physics Solid mechanics Structural acoustics and vibration Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) |
title | Design and simulation of robust and adaptive controls for a nonlinear string system |
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