Article ID Journal Published Year Pages File Type
1899037 Physica D: Nonlinear Phenomena 2007 9 Pages PDF
Abstract

In this paper we use methods of dynamical systems theory to provide a precise mathematical characterization of the behavior of the point vortex Föppl system with a linear feedback control. The Föppl system was used in an earlier investigation as a simple model for control design for vortex shedding and numerical studies indicated that the state of the controlled system converges to a closed orbit. In this investigation we prove rigorously that this observed behavior in fact represents periodic oscillations on the center manifold of the closed-loop nonlinear system. This manifold is shown to coincide with the uncontrollable subspace of the linearized system.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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