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|Document Type: ||Article|
|Title: ||Design of poiseuille flow controllers using the method of inequalities|
|Authors: ||McKernan, John|
Whidborne, James F.
|Issue Date: ||2009|
|Citation: ||John 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|
|Abstract: ||This 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 appro|
|Appears in Collections:||Staff publications - School of Engineering|
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