Passivity-based sliding mode control of uncertain singular time-delay systems
In this paper the problem of sliding mode control (SMC) with passivity of a class of uncertain nonlinear singular time-delay systems is studied. An integral-type switching surface function is designed by taking the singular matrix into account, thus the resulting sliding mode dynamics is a full-orde...
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| Veröffentlicht in: | Automatica (Oxford) 2009-09, Vol.45 (9), p.2120-2127 |
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| creator | Wu, Ligang Zheng, Wei Xing |
| description | In this paper the problem of sliding mode control (SMC) with passivity of a class of uncertain nonlinear singular time-delay systems is studied. An integral-type switching surface function is designed by taking the singular matrix into account, thus the resulting sliding mode dynamics is a full-order uncertain singular time-delay system. By introducing some slack matrices, a delay-dependent sufficient condition is proposed in terms of linear matrix inequality (LMI), which guarantees the sliding mode dynamics to be generalized quadratically stable and robustly passive. The passification solvability condition is then established. Moreover, a SMC law and an adaptive SMC law are synthesized to drive the system trajectories onto the predefined switching surface in a finite time. Finally, a numerical example is provided to illustrate the effectiveness of the proposed theory. |
| doi_str_mv | 10.1016/j.automatica.2009.05.014 |
| format | Article |
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An integral-type switching surface function is designed by taking the singular matrix into account, thus the resulting sliding mode dynamics is a full-order uncertain singular time-delay system. By introducing some slack matrices, a delay-dependent sufficient condition is proposed in terms of linear matrix inequality (LMI), which guarantees the sliding mode dynamics to be generalized quadratically stable and robustly passive. The passification solvability condition is then established. Moreover, a SMC law and an adaptive SMC law are synthesized to drive the system trajectories onto the predefined switching surface in a finite time. Finally, a numerical example is provided to illustrate the effectiveness of the proposed theory.</description><identifier>ISSN: 0005-1098</identifier><identifier>EISSN: 1873-2836</identifier><identifier>DOI: 10.1016/j.automatica.2009.05.014</identifier><identifier>CODEN: ATCAA9</identifier><language>eng</language><publisher>Kidlington: Elsevier Ltd</publisher><subject>Applied sciences ; Computer science; control theory; systems ; Control system analysis ; Control theory. 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Systems</subject><subject>Dynamical systems</subject><subject>Dynamics</subject><subject>Exact sciences and technology</subject><subject>Law</subject><subject>Mathematical analysis</subject><subject>Nonlinear dynamics</subject><subject>Passivity</subject><subject>Sheet molding compounds</subject><subject>Singular systems</subject><subject>Sliding mode control</subject><subject>Sliding mode control (SMC)</subject><subject>Switching</subject><subject>Time-delay systems</subject><issn>0005-1098</issn><issn>1873-2836</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNqFkMFq3DAQhkVJoZu076BLycmuZEuyfExDkxQS0kN7FrPSuGixrVQjB_bto7ChPfY0DPPN_MzHGJeilUKaL4cWtpIWKNFD2wkxtkK3Qqp3bCft0Ded7c0Z2wkhdCPFaD-wc6JDbZW03Y49_ACi-BzLsdkDYeA0xxDX33xJAblPa8lp5mni2-oxF4grpzreZsi8xAWbgDMcOR2p4EIf2fsJZsJPb_WC_br59vP6rrl_vP1-fXXf-N6K0hhdsw1IMcmwRzMoZQaLvRJB6b6Tg9UmGK3BKvSoPYhOo-xB7ic1-kHs-wt2ebr7lNOfDam4JZLHeYYV00ZulMp0Ug6ykvZE-pyIMk7uKccF8tFJ4V4FuoP7J9C9CnRCuyqwrn5-CwHyME8ZVh_p735X9Y5G2cp9PXFYP36OmB35iFVXiBl9cSHF_4e9AEXzjAM</recordid><startdate>20090901</startdate><enddate>20090901</enddate><creator>Wu, Ligang</creator><creator>Zheng, Wei Xing</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20090901</creationdate><title>Passivity-based sliding mode control of uncertain singular time-delay systems</title><author>Wu, Ligang ; Zheng, Wei Xing</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c380t-651826a10f1dbe6744678e340d453217856d655a84ece5ca025e13a1bf49c70b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Applied sciences</topic><topic>Computer science; control theory; systems</topic><topic>Control system analysis</topic><topic>Control theory. Systems</topic><topic>Dynamical systems</topic><topic>Dynamics</topic><topic>Exact sciences and technology</topic><topic>Law</topic><topic>Mathematical analysis</topic><topic>Nonlinear dynamics</topic><topic>Passivity</topic><topic>Sheet molding compounds</topic><topic>Singular systems</topic><topic>Sliding mode control</topic><topic>Sliding mode control (SMC)</topic><topic>Switching</topic><topic>Time-delay systems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wu, Ligang</creatorcontrib><creatorcontrib>Zheng, Wei Xing</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Automatica (Oxford)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wu, Ligang</au><au>Zheng, Wei Xing</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Passivity-based sliding mode control of uncertain singular time-delay systems</atitle><jtitle>Automatica (Oxford)</jtitle><date>2009-09-01</date><risdate>2009</risdate><volume>45</volume><issue>9</issue><spage>2120</spage><epage>2127</epage><pages>2120-2127</pages><issn>0005-1098</issn><eissn>1873-2836</eissn><coden>ATCAA9</coden><abstract>In this paper the problem of sliding mode control (SMC) with passivity of a class of uncertain nonlinear singular time-delay systems is studied. An integral-type switching surface function is designed by taking the singular matrix into account, thus the resulting sliding mode dynamics is a full-order uncertain singular time-delay system. By introducing some slack matrices, a delay-dependent sufficient condition is proposed in terms of linear matrix inequality (LMI), which guarantees the sliding mode dynamics to be generalized quadratically stable and robustly passive. The passification solvability condition is then established. Moreover, a SMC law and an adaptive SMC law are synthesized to drive the system trajectories onto the predefined switching surface in a finite time. Finally, a numerical example is provided to illustrate the effectiveness of the proposed theory.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.automatica.2009.05.014</doi><tpages>8</tpages></addata></record> |
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| ispartof | Automatica (Oxford), 2009-09, Vol.45 (9), p.2120-2127 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Applied sciences Computer science control theory systems Control system analysis Control theory. Systems Dynamical systems Dynamics Exact sciences and technology Law Mathematical analysis Nonlinear dynamics Passivity Sheet molding compounds Singular systems Sliding mode control Sliding mode control (SMC) Switching Time-delay systems |
| title | Passivity-based sliding mode control of uncertain singular time-delay systems |
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