Optimal and Feedback Control for Hyperbolic Conservation Laws

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dc.contributor.authorKachroo, Pushkinen
dc.contributor.committeechairBall, Joseph A.en
dc.contributor.committeememberAdjerid, Slimaneen
dc.contributor.committeememberKlaus, Martinen
dc.contributor.committeememberBurns, John A.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:12:55Zen
dc.date.adate2007-06-20en
dc.date.available2014-03-14T20:12:55Zen
dc.date.issued2007-05-10en
dc.date.rdate2007-06-20en
dc.date.sdate2007-06-10en
dc.description.abstractThis dissertation studies hyperbolic partial differential equations for Conservation Laws motivated by traffic control problems. New traffic models for multi-directional flow in two dimensions are derived and their properties studied. Control models are proposed where the control variable is a multiplicative term in the flux function. Control models are also proposed for relaxation type systems of hyperbolic PDEs. Existence of optimal control for the case of constant controls is presented. Unbounded and bounded feedback control designs are proposed. These include advective, diffusive, and advective-diffusive controls. Existence result for the bounded advective control is derived. Performance of the relaxation model using bounded advective control is analyzed. Finally simulations using Godunov scheme are performed on unbounded and bounded feedback advective controls.en
dc.description.degreePh. D.en
dc.identifier.otheretd-06102007-100142en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-06102007-100142/en
dc.identifier.urihttp://hdl.handle.net/10919/28009en
dc.publisherVirginia Techen
dc.relation.haspartPK_Dissertation.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectOptimalen
dc.subjectControlen
dc.subjectEntropyen
dc.subjectFeedbacken
dc.subjectEvacuationen
dc.subjectHyperbolic PDEen
dc.titleOptimal and Feedback Control for Hyperbolic Conservation Lawsen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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