Optimal Estimation of Domains of Attraction for Nonlinear Dynamical Systems

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dc.contributor.advisorTits, A.en_US
dc.contributor.advisorAbed, E.en_US
dc.contributor.authorCoraluppi, Stephano P.en_US
dc.contributor.departmentISRen_US
dc.date.accessioned2007-05-23T09:53:06Z
dc.date.available2007-05-23T09:53:06Z
dc.date.issued1992en_US
dc.description.abstractThis thesis implements a recently proposed algebraic methodology for optimal domain of attraction estimation, and extends the method to include optimal estimation of the largest inscribed ball. In addition, a numerical optimal estimation methodology is proposed. The thesis addresses the important issues of Liapunov function construction and the optimal choice of parameters in the family of Liapunov functions. Several examples are included, including a detailed discussion of the classical inverted pendulum. Finally, the thesis addresses the importance of including a measure of the size of the domain of attraction as part of a generalized objective function in optimization-based controller design.en_US
dc.format.extent2311531 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/5343
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; MS 1992-14en_US
dc.subjectnonlinear systemsen_US
dc.subjectoptimizationen_US
dc.subjectrobust controlen_US
dc.subjectstabilityen_US
dc.subjectIntelligent Servomechanismsen_US
dc.titleOptimal Estimation of Domains of Attraction for Nonlinear Dynamical Systemsen_US
dc.typeThesisen_US

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