An adaptive approach to cost reduction in nonlinear uncertain systems using Lyapunov design
A time-varying/dynamic compensation strategy for nonlinear uncertain systems is proposed, which adaptively selects one controller from a parametrized family of Lyapunov-based stabilizing controllers. The purpose of the adaptation is to choose the controller that reduces the value of a given cost fun...
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| creator | Rawls, V.L. Freeman, R.A. |
| description | A time-varying/dynamic compensation strategy for nonlinear uncertain systems is proposed, which adaptively selects one controller from a parametrized family of Lyapunov-based stabilizing controllers. The purpose of the adaptation is to choose the controller that reduces the value of a given cost functional, but stability is guaranteed regardless of whether or not parameter errors prevent cost reduction. This method is potentially applicable to the control of slowly varying nonlinear systems, where it is possible to numerically solve optimal control problems online. The potential of this method is demonstrated in simulation. |
| doi_str_mv | 10.1109/CDC.1999.833290 |
| format | Conference Proceeding |
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The purpose of the adaptation is to choose the controller that reduces the value of a given cost functional, but stability is guaranteed regardless of whether or not parameter errors prevent cost reduction. This method is potentially applicable to the control of slowly varying nonlinear systems, where it is possible to numerically solve optimal control problems online. The potential of this method is demonstrated in simulation.</description><identifier>ISSN: 0191-2216</identifier><identifier>ISBN: 9780780352506</identifier><identifier>ISBN: 0780352505</identifier><identifier>DOI: 10.1109/CDC.1999.833290</identifier><language>eng</language><publisher>IEEE</publisher><subject>Control systems ; Cost function ; Design methodology ; Linear feedback control systems ; Lyapunov method ; Nonlinear control systems ; Nonlinear systems ; Optimal control ; Time varying systems ; Uncertain systems</subject><ispartof>Proceedings of the 38th IEEE Conference on Decision and Control (Cat. 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The potential of this method is demonstrated in simulation.</description><subject>Control systems</subject><subject>Cost function</subject><subject>Design methodology</subject><subject>Linear feedback control systems</subject><subject>Lyapunov method</subject><subject>Nonlinear control systems</subject><subject>Nonlinear systems</subject><subject>Optimal control</subject><subject>Time varying systems</subject><subject>Uncertain systems</subject><issn>0191-2216</issn><isbn>9780780352506</isbn><isbn>0780352505</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>1999</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotkL1qwzAYRQVtoWmaudBJL-BUf7b0jcH9BUOXbB3CV1lKVRLJWHLAb99AChcOnOEMl5AHztacM3hqn9s1B4C1kVIAuyIr0IadJ2tRs-aaLBgHXgnBm1tyl_MvY8ywplmQr02k2ONQwslRHIYxof2hJVGbcqGj6ydbQoo0RBpTPITocKRTtG4seHZ5zsUdM51yiHvazThMMZ1o73LYx3ty4_GQ3eqfS7J9fdm271X3-fbRbroqGF0qp7hitZVaywbh2zoAZWoPXnmvTc00Im9qgUYrxb3RVgoNKI1VBrkAkEvyeMkG59xuGMMRx3l3eUL-AZINUlU</recordid><startdate>1999</startdate><enddate>1999</enddate><creator>Rawls, V.L.</creator><creator>Freeman, R.A.</creator><general>IEEE</general><scope>6IE</scope><scope>6IH</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIO</scope></search><sort><creationdate>1999</creationdate><title>An adaptive approach to cost reduction in nonlinear uncertain systems using Lyapunov design</title><author>Rawls, V.L. ; Freeman, R.A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i87t-e41405c37736a9bce99485f9f4ff78507aa1652a87441f87c3279a38c48a12993</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>1999</creationdate><topic>Control systems</topic><topic>Cost function</topic><topic>Design methodology</topic><topic>Linear feedback control systems</topic><topic>Lyapunov method</topic><topic>Nonlinear control systems</topic><topic>Nonlinear systems</topic><topic>Optimal control</topic><topic>Time varying systems</topic><topic>Uncertain systems</topic><toplevel>online_resources</toplevel><creatorcontrib>Rawls, V.L.</creatorcontrib><creatorcontrib>Freeman, R.A.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan (POP) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP) 1998-present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Rawls, V.L.</au><au>Freeman, R.A.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>An adaptive approach to cost reduction in nonlinear uncertain systems using Lyapunov design</atitle><btitle>Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)</btitle><stitle>CDC</stitle><date>1999</date><risdate>1999</risdate><volume>5</volume><spage>4730</spage><epage>4735 vol.5</epage><pages>4730-4735 vol.5</pages><issn>0191-2216</issn><isbn>9780780352506</isbn><isbn>0780352505</isbn><abstract>A time-varying/dynamic compensation strategy for nonlinear uncertain systems is proposed, which adaptively selects one controller from a parametrized family of Lyapunov-based stabilizing controllers. The purpose of the adaptation is to choose the controller that reduces the value of a given cost functional, but stability is guaranteed regardless of whether or not parameter errors prevent cost reduction. This method is potentially applicable to the control of slowly varying nonlinear systems, where it is possible to numerically solve optimal control problems online. The potential of this method is demonstrated in simulation.</abstract><pub>IEEE</pub><doi>10.1109/CDC.1999.833290</doi></addata></record> |
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| identifier | ISSN: 0191-2216 |
| ispartof | Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 1999, Vol.5, p.4730-4735 vol.5 |
| issn | 0191-2216 |
| language | eng |
| recordid | cdi_ieee_primary_833290 |
| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Control systems Cost function Design methodology Linear feedback control systems Lyapunov method Nonlinear control systems Nonlinear systems Optimal control Time varying systems Uncertain systems |
| title | An adaptive approach to cost reduction in nonlinear uncertain systems using Lyapunov design |
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