Fuzzy Logic Control of a Circular Cylinder Vortex Shedding Model

Kelly Cohen, Stefan Siegel, Thomas McLaughlin, James Myatt
2003 41st Aerospace Sciences Meeting and Exhibit   unpublished
A short computational program was undertaken to evaluate the effectiveness of a closed-loop control strategy for the stabilization of an unstable bluff-body flow. In this effort, the nonlinear one-dimensional Ginzburg-Landau wake model at 20% above the analogue of critical wake Reynolds number was studied. The numerical model, which is a nonlinear partial differential equation with complex coefficients, was solved using the FEMLAB  /MATLAB  package and validated by comparison with published
more » ... on with published literature. The closed loop system was controlled using a conventional proportional-integral-derivative (PID) controller as well as a nonlinear fuzzy controller. A single sensor is used for feedback, and the actuator is represented by altering the boundary conditions of the cylinder. The closed-loop feedback strategy examined included proportional control, PID control and fuzzy logic control. Results show that the fuzzy logic control provided the best response with respect to the onset of vortex suppression, the settling times, as well as the control effort applied. The results indicate that for a single sensor scheme, the increase in the sophistication of the control results in significantly shorter settling times. However, there is only a marginal improvement concerning the suppression of the wake at higher Reynolds numbers.
doi:10.2514/6.2003-1290 fatcat:zyw2j5wyfjdiveam47mael6zme