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New Directions in Flow Control - Reduced Order Modeling, Nonlinear Analysis and Control Design Methods for the Control of Fluid Flow Problems
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Flow control refers to the ability to manipulate§fluid flow so as to achieve a desired change in its§behavior, which offers many potential technological§benefits, such as reducing fuel costs for vehicles§and improving effectiveness of industrial processes.§Presently there is a lack of sufficient mathematical§analysis and control design tools for flow control§problems. This includes mathematical models that are§amenable to control design. The research presented in§this book makes an effort at closing this gap by 1)§presenting a reduced-order modeling method utilizing§a novel technique for input separation on Proper§Orthogonal Decomposition (POD)/Galerkin Projection§(GP) based models, 2) introducing a technique based§on averaging theory and center manifold theory so as§to reveal certain structures embedded in the model,§and 3) developing nonlinear analysis and control§design approaches for the resulting model. The theory§is complemented by examples and case studies as§appropriate, including the case of cavity flow §control.
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