Some Techniques for Analysis and Design of Robust Controls

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dc.contributor.advisorLevine, W.S.en_US
dc.contributor.authorJodorkovsky, Marioen_US
dc.contributor.departmentISRen_US
dc.date.accessioned2007-05-23T09:49:24Z
dc.date.available2007-05-23T09:49:24Z
dc.date.issued1991en_US
dc.description.abstractIn this thesis we consider issues concerning the robustness of linear time invariant systems. We first attempt to gain a better understanding of some of the problems involved in the robustness assessment of multivariable systems by analyzing them on a loop by loop basis. Then, we assume norm bounded uncertainty on individual plant elements and explore the robustness of such systems via eigenvalue methods. We obtain results that sometimes are simpler than those obtained using the structured singular value approach. Using spectral analysis and some results from the theory of matrix perturbations we then develop robustness bounds. The bounds provide geometrical insight into the problem and also generate expressions in terms of nominal closed loop maps that can be used for analysis and design.<P>Another topic covered in this thesis is stability robustness in the presence of parametric uncertainty. Here, we find a parametrization of all the compensators that robustly stabilize the perturbed plant. The parametrization is obtained in terms of the coprime factors of the plants corresponding to extremal values of the uncertain parameters. Necessary and sufficient conditions for the simultaneous stabilizability of a continuum of plants are obtained. the results are restricted to the single variate case and a complete analysis is carried out for a single uncertain parameter.en_US
dc.format.extent5855550 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/5167
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; PhD 1991-9en_US
dc.subjectlinear systemsen_US
dc.subjectrobust controlen_US
dc.subjectstabilityen_US
dc.subjectsystem theoryen_US
dc.subjectIntelligent Servomechanismsen_US
dc.titleSome Techniques for Analysis and Design of Robust Controlsen_US
dc.typeDissertationen_US

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