On metric observers for nonlinear systems
While observer design is well understood and widely used for linear systems, extensions to nonlinear systems have lacked generality. Motivated by fluid dynamics, this paper shows that the use of so-called Euler coordinates in general nonlinear, non-autonomous systems allows major simplifications suc...
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creator | Lohmiller, W. Slotine, J.-J.E. |
description | While observer design is well understood and widely used for linear systems, extensions to nonlinear systems have lacked generality. Motivated by fluid dynamics, this paper shows that the use of so-called Euler coordinates in general nonlinear, non-autonomous systems allows major simplifications such as a superposition principle, and leads to new analysis and design methods. A system's dynamic equations may be systematically shaped through a change of metric based on the available measurements, rather than by explicit error feedback. This in turn leads to new deterministic observer design techniques for general nonlinear non-autonomous systems. |
doi_str_mv | 10.1109/CCA.1996.558742 |
format | Conference Proceeding |
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Motivated by fluid dynamics, this paper shows that the use of so-called Euler coordinates in general nonlinear, non-autonomous systems allows major simplifications such as a superposition principle, and leads to new analysis and design methods. A system's dynamic equations may be systematically shaped through a change of metric based on the available measurements, rather than by explicit error feedback. 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This in turn leads to new deterministic observer design techniques for general nonlinear non-autonomous systems.</description><subject>Design methodology</subject><subject>Feedback</subject><subject>Fluid dynamics</subject><subject>Laboratories</subject><subject>Lagrangian functions</subject><subject>Linear systems</subject><subject>Nonlinear dynamical systems</subject><subject>Nonlinear equations</subject><subject>Nonlinear systems</subject><subject>Shape measurement</subject><isbn>9780780329751</isbn><isbn>0780329759</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>1996</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotj0tLxDAURgMiKGPXgqtuXbTem-TmsRyKLxiYja6HJN5AZdpKUoT59w6MHwfO7sAnxD1Cjwj-aRi2PXpveiJntbwSjbcOzijpLeGNaGr9hvM0kXTyVjzu53bitYypXWLl8sultnkp7bzMx3HmUNp6qitP9U5c53Cs3Px7Iz5fnj-Gt263f30ftrsuIcHakWYLNumcDLA3X0YHnV2ELL0HkCiVSwkQs7I2oCY2RDbI6GIGhSaqjXi4dEdmPvyUcQrldLj8UX9y8D53</recordid><startdate>1996</startdate><enddate>1996</enddate><creator>Lohmiller, W.</creator><creator>Slotine, J.-J.E.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>1996</creationdate><title>On metric observers for nonlinear systems</title><author>Lohmiller, W. ; Slotine, J.-J.E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c150t-54e707c4fc60e96d64a4f8b0f2990021238cc011f377a145e6557a2b8bf0316b3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>1996</creationdate><topic>Design methodology</topic><topic>Feedback</topic><topic>Fluid dynamics</topic><topic>Laboratories</topic><topic>Lagrangian functions</topic><topic>Linear systems</topic><topic>Nonlinear dynamical systems</topic><topic>Nonlinear equations</topic><topic>Nonlinear systems</topic><topic>Shape measurement</topic><toplevel>online_resources</toplevel><creatorcontrib>Lohmiller, W.</creatorcontrib><creatorcontrib>Slotine, J.-J.E.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Lohmiller, W.</au><au>Slotine, J.-J.E.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>On metric observers for nonlinear systems</atitle><btitle>Proceeding of the 1996 IEEE International Conference on Control Applications IEEE International Conference on Control Applications held together with IEEE International Symposium on Intelligent Contro</btitle><stitle>CCA</stitle><date>1996</date><risdate>1996</risdate><spage>320</spage><epage>326</epage><pages>320-326</pages><isbn>9780780329751</isbn><isbn>0780329759</isbn><abstract>While observer design is well understood and widely used for linear systems, extensions to nonlinear systems have lacked generality. Motivated by fluid dynamics, this paper shows that the use of so-called Euler coordinates in general nonlinear, non-autonomous systems allows major simplifications such as a superposition principle, and leads to new analysis and design methods. A system's dynamic equations may be systematically shaped through a change of metric based on the available measurements, rather than by explicit error feedback. This in turn leads to new deterministic observer design techniques for general nonlinear non-autonomous systems.</abstract><pub>IEEE</pub><doi>10.1109/CCA.1996.558742</doi><tpages>7</tpages></addata></record> |
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identifier | ISBN: 9780780329751 |
ispartof | Proceeding of the 1996 IEEE International Conference on Control Applications IEEE International Conference on Control Applications held together with IEEE International Symposium on Intelligent Contro, 1996, p.320-326 |
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language | eng |
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source | IEEE Electronic Library (IEL) Conference Proceedings |
subjects | Design methodology Feedback Fluid dynamics Laboratories Lagrangian functions Linear systems Nonlinear dynamical systems Nonlinear equations Nonlinear systems Shape measurement |
title | On metric observers for nonlinear systems |
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