Design of poiseuille flow controllers using the method of inequalities

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dc.contributor.authorMcKernan, John-
dc.contributor.authorWhidborne, James F.-
dc.contributor.authorPapadakis, George-
dc.date.accessioned2011-11-17T23:01:28Z
dc.date.available2011-11-17T23:01:28Z
dc.date.issued2009-02-01T00:00:00Z-
dc.description.abstractThis paper investigates the use of the method of inequalities (MoI) to design output-feedback compensators for the problem of the control of instabilities in a laminar plane Poiseuille flow. In common with many flows, the dynamics of streamwise vortices in plane Poiseuille flow are very non-normal. Consequently, small perturbations grow rapidly with a large transient that may trigger nonlinearities and lead to turbulence even though such perturbations would, in a linear flow model, eventually decay. Such a system can be described as a conditionally linear system. The sensitivity is measured using the maximum transient energy growth, which is widely used in the fluid dynamics community. The paper considers two approaches. In the first approach, the MoI is used to design low-order proportional and proportional-integral (PI) controllers. In the second one, the MoI is combined with McFarlane and Glover’s H ∞ loop-shaping design procedure in a mixed-optimization approen_UK
dc.identifier.citationJohn McKernan, James F. Whidborne and George Papadakis, Design of poiseuille flow controllers using the method of inequalities, International Journal of Automation and Computing, Volume 6, Number 1, February, 2009, Pages 14-21-
dc.identifier.issn1476-8186-
dc.identifier.urihttp://dx.doi.org/10.1007/s11633-009-0014-x-
dc.identifier.urihttp://dspace.lib.cranfield.ac.uk/handle/1826/4377
dc.publisherSpringer Science Business Mediaen_UK
dc.subjectTransient energy growthen_UK
dc.subjectTransient behaviouren_UK
dc.subjectFlow controlen_UK
dc.subjectPoiseuille flowen_UK
dc.subjectMethod of inequalities (MoI)en_UK
dc.subjectMixed optimizationen_UK
dc.subjectH ∞-optimizationen_UK
dc.titleDesign of poiseuille flow controllers using the method of inequalitiesen_UK
dc.typeArticle-

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