Feedback Control of Border Collision Bifurcations in Two-Dimensional Discrete-Time Systems

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dc.contributor.advisorAbed, Eyad H.en_US
dc.contributor.authorHassouneh, Munther A.en_US
dc.contributor.authorAbed, Eyad H.en_US
dc.contributor.authorBanerjee, Soumitroen_US
dc.contributor.departmentISRen_US
dc.date.accessioned2007-05-23T10:12:06Z
dc.date.available2007-05-23T10:12:06Z
dc.date.issued2002en_US
dc.description.abstractThe feedback control of border collision bifurcations is consideredfor two-dimensional discrete-time systems. These are bifurcations that can occur when a fixed point of a piecewise smooth system crosses the border between two regions of smooth operation. The goal of the control effort is to modify the bifurcation so that the bifurcated steady state is locally unique and locally attracting. In this way, the system's local behavior is ensured to remain stable and close to the original operating condition. This is in the same spirit as local bifurcation control results for smooth systems, although the presence of a border complicates the bifurcation picture considerably. Indeed, a full classification of border collision bifurcations isn't available, so this paper focuses on the more desirable (from a dynamical behavior viewpoint) cases for which the theory is complete. The needed results from the analysis of border collision bifurcations are succinctly summarized. The control design is found to lead to systems of linear inequalities. Any feedback gains that satisfy these inequalities is then guaranteed to solve the bifurcation control problem. The results are applied to an example to illustrate the ideas.en_US
dc.format.extent674226 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/6273
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 2002-36en_US
dc.subjectSensor-Actuator Networksen_US
dc.titleFeedback Control of Border Collision Bifurcations in Two-Dimensional Discrete-Time Systemsen_US
dc.typeTechnical Reporten_US

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