A Local Small Gain Theorem and Its Use for Robust Stability of Uncertain Feedback Volterra Systems

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dc.contributor.authorZheng, Q.en_US
dc.contributor.authorZafiriou, E.en_US
dc.contributor.departmentISRen_US
dc.date.accessioned2007-05-23T09:54:27Z
dc.date.available2007-05-23T09:54:27Z
dc.date.issued1993en_US
dc.description.abstractThe requirement to evaluate a gain over the whole signal space is one of the restrictions in the well-known small gain theorem. Using the concepts of local gain and strict causality a local form of small gain theorem is proposed, which can be used to analyze input magnitude dependent stability problems of feedback nonlinear systems, such as a Volterra system. Since only finite order Volterra series can be handled in practice, an uncertainly model is derived to address the robustness issue of approximating a nonlinear system by a finite Volterra series in the context of closed-loop control. The local small gain theorem is then used to analyze the feedback properties of the uncertain Volterra system and a sufficient condition for robust stability is obtained.en_US
dc.format.extent433973 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/5414
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 1993-69en_US
dc.subjectnonlinear systemsen_US
dc.subjectrobust controlen_US
dc.subjectstabilityen_US
dc.subjectChemical Process Systemsen_US
dc.titleA Local Small Gain Theorem and Its Use for Robust Stability of Uncertain Feedback Volterra Systemsen_US
dc.typeTechnical Reporten_US

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