Stabilizing unstable equilibria using observer-based neural networks with applications in chaos suppression
In this paper, the observer-based stabilization of unstable equilibrium points of a class of unknown nonlinear systems is proposed. The controller is based on feedback linearization where the observer system and control signal are directly estimated by a nonlinear in parameter neural network (NLPNN)...
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| creator | Yadmellat, P. Nikravesh, S.K.Y. |
| description | In this paper, the observer-based stabilization of unstable equilibrium points of a class of unknown nonlinear systems is proposed. The controller is based on feedback linearization where the observer system and control signal are directly estimated by a nonlinear in parameter neural network (NLPNN). A modified back propagation (BP) algorithm with e-modification was used to update the weights of the network. Globally uniformly ultimately boundedness of overall closed-loop system is ensured using Lyapunov's direct method. To verify the effectiveness of the proposed observer-based controller, a set of simulations was performed on a Rossler and Lorenz chaotic systems. |
| doi_str_mv | 10.1109/CICA.2009.4982789 |
| format | Conference Proceeding |
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To verify the effectiveness of the proposed observer-based controller, a set of simulations was performed on a Rossler and Lorenz chaotic systems.</description><subject>Adaptive control</subject><subject>Backstepping</subject><subject>Chaos</subject><subject>Control systems</subject><subject>Linear feedback control systems</subject><subject>Neural networks</subject><subject>Nonlinear control systems</subject><subject>Nonlinear dynamical systems</subject><subject>Nonlinear systems</subject><subject>Programmable control</subject><issn>2328-1448</issn><isbn>9781424427529</isbn><isbn>1424427525</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2009</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotUN1KwzAYDejAOfsA4k1eoDP5kib5LmX4BwMv1OuRtJmLq21NWoc-vRF3dTg_HDiHkEvOlpwzvF49rm6WwBguJRrQBk9IgdpwCVKCrgBPyRwEmJJLaWbkPEcNMiW1OiNFSu-MsdyjgPE52T-P1oU2_ITujU5dyqz11H9OWXMxWDqlP6d3yccvH0tnk29o56do2wzjoY_7RA9h3FE7DG2o7Rj6LtHQ0Xpn-0TTNAzRp5TVCzLb2jb54ogL8np3-7J6KNdP93nSugxcV2NZaacQVSWwBswLbINSa6OhkXUttgIZVs0WpPYCFQK4ujFSGeU4cGi8FQty9d8bvPebIYYPG783x6_ELyr6XPQ</recordid><startdate>200903</startdate><enddate>200903</enddate><creator>Yadmellat, P.</creator><creator>Nikravesh, S.K.Y.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>200903</creationdate><title>Stabilizing unstable equilibria using observer-based neural networks with applications in chaos suppression</title><author>Yadmellat, P. ; Nikravesh, S.K.Y.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-57b6996539c29448ad9477872d4cc3f39095df247e396922bcd84686b1212dea3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Adaptive control</topic><topic>Backstepping</topic><topic>Chaos</topic><topic>Control systems</topic><topic>Linear feedback control systems</topic><topic>Neural networks</topic><topic>Nonlinear control systems</topic><topic>Nonlinear dynamical systems</topic><topic>Nonlinear systems</topic><topic>Programmable control</topic><toplevel>online_resources</toplevel><creatorcontrib>Yadmellat, P.</creatorcontrib><creatorcontrib>Nikravesh, S.K.Y.</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>Yadmellat, P.</au><au>Nikravesh, S.K.Y.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Stabilizing unstable equilibria using observer-based neural networks with applications in chaos suppression</atitle><btitle>2009 IEEE Symposium on Computational Intelligence in Control and Automation</btitle><stitle>CICA</stitle><date>2009-03</date><risdate>2009</risdate><spage>96</spage><epage>103</epage><pages>96-103</pages><issn>2328-1448</issn><isbn>9781424427529</isbn><isbn>1424427525</isbn><abstract>In this paper, the observer-based stabilization of unstable equilibrium points of a class of unknown nonlinear systems is proposed. The controller is based on feedback linearization where the observer system and control signal are directly estimated by a nonlinear in parameter neural network (NLPNN). A modified back propagation (BP) algorithm with e-modification was used to update the weights of the network. Globally uniformly ultimately boundedness of overall closed-loop system is ensured using Lyapunov's direct method. To verify the effectiveness of the proposed observer-based controller, a set of simulations was performed on a Rossler and Lorenz chaotic systems.</abstract><pub>IEEE</pub><doi>10.1109/CICA.2009.4982789</doi><tpages>8</tpages></addata></record> |
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| issn | 2328-1448 |
| language | eng |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Adaptive control Backstepping Chaos Control systems Linear feedback control systems Neural networks Nonlinear control systems Nonlinear dynamical systems Nonlinear systems Programmable control |
| title | Stabilizing unstable equilibria using observer-based neural networks with applications in chaos suppression |
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