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Lyapunov-Based Feedback Control of Border Collision Bifurcations in Piecewise Smooth Systems

dc.contributor.advisorAbed, Eyad H.en_US
dc.contributor.authorHassouneh, Munther A.en_US
dc.contributor.authorAbed, Eyad H.en_US
dc.description.abstractFeedback control of piecewise smooth discrete-time systems that undergo border collision bifurcations is considered. These bifurcations occur when a fixed point or a periodic orbit of a piecewise smooth system crosses or collides with the border between two regions of smooth operation as a system parameter is quasistatically varied. The goal of the control effort in this work is to modify the bifurcation so that the bifurcated steady state is locally attracting and locally unique. To achieve this, Lyapunov-based techniques are used. A sufficient condition for nonbifurcation with persistent stability in piecewise smooth maps of dimension $n$ that depend on a parameter is derived. The derived condition is in terms of linear matrix inequalities. This condition is then used as a basis for the design of feedback controls to eliminate border collision bifurcations in piecewise smooth maps and to produce desirable behavior.en_US
dc.format.extent87687 bytes
dc.relation.ispartofseriesISR; TR 2004-37en_US
dc.subjectSensor-Actuator Networksen_US
dc.titleLyapunov-Based Feedback Control of Border Collision Bifurcations in Piecewise Smooth Systemsen_US
dc.typeTechnical Reporten_US

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