Parametric Design Optimization of Uncertain Ordinary Differential Equation Systems

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dc.contributor.authorHays, Joeen
dc.contributor.authorSandu, Adrianen
dc.contributor.authorSandu, Corinaen
dc.contributor.authorHong, Dennisen
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2013-06-19T14:37:00Zen
dc.date.available2013-06-19T14:37:00Zen
dc.date.issued2011en
dc.description.abstractThis work presents a novel optimal design framework that treats uncertain dynamical systems described by ordinary differential equations. Uncertainty in multibody dynamical systems comes from various sources, such as: system parameters, initial conditions, sensor and actuator noise, and external forcing. The inclusion of uncertainty in design is of paramount practical importance because all real-life systems are affected by it. Designs that ignore uncertainty often lead to poor robustness and suboptimal performance. In this work uncertainties are modeled using Generalized Polynomial Chaos and are solved quantitatively using a least-square collocation method. The uncertainty statistics are explicitly included in the optimization process. Systems that are nonlinear, have active constraints, or opposing design objectives are shown to benefit from the new framework. Specifically, using a constraint-based multi-objective formulation, the direct treatment of uncertainties during the optimization process is shown to shift, or off-set, the resulting Pareto optimal trade-off curve. A nonlinear vehicle suspension design problem, subject to parametric uncertainty, illustrates the capability of the new framework to produce an optimal design that accounts for the entire family of systems within the associated probability space.en
dc.format.mimetypeapplication/pdfen
dc.identifierhttp://eprints.cs.vt.edu/archive/00001152/en
dc.identifier.sourceurlhttp://eprints.cs.vt.edu/archive/00001152/01/Parametric_Design_Optimization_of_Uncertain_Ordinary_Differential_Equation_Systems.pdfen
dc.identifier.trnumberTR-11-06en
dc.identifier.urihttp://hdl.handle.net/10919/19428en
dc.language.isoenen
dc.publisherDepartment of Computer Science, Virginia Polytechnic Institute & State Universityen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectSoftware engineeringen
dc.titleParametric Design Optimization of Uncertain Ordinary Differential Equation Systemsen
dc.typeTechnical reporten
dc.type.dcmitypeTexten

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