State and Parameter Estimation for Nonlinear Delay Systems Using Sliding Mode Techniques
In this technical note, a class of time varying delay nonlinear systems is considered where both parametric uncertainty and structural uncertainty are involved. The uncertain parameters are embedded in the system nonlinearly. The bound on the structural uncertainty takes nonlinear form and is time d...
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| Veröffentlicht in: | IEEE transactions on automatic control 2013-04, Vol.58 (4), p.1023-1029 |
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| container_title | IEEE transactions on automatic control |
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| creator | Xing-Gang Yan Spurgeon, S. K. Edwards, C. |
| description | In this technical note, a class of time varying delay nonlinear systems is considered where both parametric uncertainty and structural uncertainty are involved. The uncertain parameters are embedded in the system nonlinearly. The bound on the structural uncertainty takes nonlinear form and is time delayed. A sliding mode observer is proposed to estimate the system state and an adaptive law is proposed to estimate the unknown parameters simultaneously. Using the Lyapunov-Razuminkhin approach, sufficient conditions are developed such that the error system is uniformly ultimately bounded. A simulation on a bioreactor system shows the effectiveness of the approach. |
| doi_str_mv | 10.1109/TAC.2012.2215531 |
| format | Article |
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A simulation on a bioreactor system shows the effectiveness of the approach.</description><identifier>ISSN: 0018-9286</identifier><identifier>EISSN: 1558-2523</identifier><identifier>DOI: 10.1109/TAC.2012.2215531</identifier><identifier>CODEN: IETAA9</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Adaptive estimation ; Delay ; Delay effects ; Dynamical systems ; Equations ; Estimates ; nonlinear system ; Nonlinearity ; Observers ; Simulation ; Sliding mode ; state estimation ; Symmetric matrices ; time delay ; Time varying systems ; Uncertainty</subject><ispartof>IEEE transactions on automatic control, 2013-04, Vol.58 (4), p.1023-1029</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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A simulation on a bioreactor system shows the effectiveness of the approach.</description><subject>Adaptive estimation</subject><subject>Delay</subject><subject>Delay effects</subject><subject>Dynamical systems</subject><subject>Equations</subject><subject>Estimates</subject><subject>nonlinear system</subject><subject>Nonlinearity</subject><subject>Observers</subject><subject>Simulation</subject><subject>Sliding mode</subject><subject>state estimation</subject><subject>Symmetric matrices</subject><subject>time delay</subject><subject>Time varying systems</subject><subject>Uncertainty</subject><issn>0018-9286</issn><issn>1558-2523</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkMlLAzEUh4MoWKt3wUvAi5epWWYyybHUukBdoC14GzKTF50yS03SQ_97M7R48PD48eB7Cx9C15RMKCXqfjWdTRihbMIYzTJOT9AopkxYxvgpGhFCZaKYFOfowvtNbEWa0hH6XAYdAOvO4A_tdAsBHJ77ULc61H2Hbe_wW981dQfa4Qdo9B4v9z5A6_Ha190XXja1GfK1N4BXUH139c8O_CU6s7rxcHXMMVo_zlez52Tx_vQymy6SigsREjC5MVZZYrmyJlU21SnhWQ55aYQlWpVM56WSOSOltJJWxuSlVFKzjNhKUj5Gd4e9W9cPd0PR1r6CptEd9DtfUC4yyrmINUa3_9BNv3Nd_C5SLBWZFIpEihyoyvXeO7DF1kUbbl9QUgyqi6i6GFQXR9Vx5OYwUgPAHy6ibaUU_wU7JXoA</recordid><startdate>20130401</startdate><enddate>20130401</enddate><creator>Xing-Gang Yan</creator><creator>Spurgeon, S. 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K.</au><au>Edwards, C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>State and Parameter Estimation for Nonlinear Delay Systems Using Sliding Mode Techniques</atitle><jtitle>IEEE transactions on automatic control</jtitle><stitle>TAC</stitle><date>2013-04-01</date><risdate>2013</risdate><volume>58</volume><issue>4</issue><spage>1023</spage><epage>1029</epage><pages>1023-1029</pages><issn>0018-9286</issn><eissn>1558-2523</eissn><coden>IETAA9</coden><abstract>In this technical note, a class of time varying delay nonlinear systems is considered where both parametric uncertainty and structural uncertainty are involved. The uncertain parameters are embedded in the system nonlinearly. The bound on the structural uncertainty takes nonlinear form and is time delayed. A sliding mode observer is proposed to estimate the system state and an adaptive law is proposed to estimate the unknown parameters simultaneously. 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| ispartof | IEEE transactions on automatic control, 2013-04, Vol.58 (4), p.1023-1029 |
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| source | IEEE Electronic Library (IEL) |
| subjects | Adaptive estimation Delay Delay effects Dynamical systems Equations Estimates nonlinear system Nonlinearity Observers Simulation Sliding mode state estimation Symmetric matrices time delay Time varying systems Uncertainty |
| title | State and Parameter Estimation for Nonlinear Delay Systems Using Sliding Mode Techniques |
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