In this paper we discuss some aspects related to feed-back control of detached flows. We use a very crude model, a single point vortex of variable intensity, to describe the massive separation region past a cusp followed by a smooth cavity. Then we investigate the controllability and the observabilty of the system by standard nonlinear control techniques. We concentrate on the possibility of controlling such a model by a feed-back controller and define the conditions under which the vortex can be asymptotically stabilized about unstable equilibria.
Nonlinear Analysis and Control of Detached Model Flows
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Galletti, B, Iollo, A, & Zannetti, L. "Nonlinear Analysis and Control of Detached Model Flows." Proceedings of the ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. Volume 1: Fora, Parts A and B. Montreal, Quebec, Canada. July 14–18, 2002. pp. 1407-1411. ASME. https://doi.org/10.1115/FEDSM2002-31052
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