1. 1 Milan Milovanovic, Marek Gayer, Joris Michielsen and Ole Morten Aamo 48th IEEE Conference on Decision and Control, CDC 2009, Shanghai, China Model-based Stabilization of Vortex Shedding with CFD Verification

2. 2 Von Kármán vortex street:

3. 3 for, with boundary conditions and A complex Ginzburg-Landau equation:

4. 4 With the control input: A complex Ginzburg-Landau equation becomes: for with boundary conditions:

5. 5 Looking for: to transform sistem into: for with boundary conditions:

6. 6 The pair of kernels and satisfy the PDEs: for with boundary conditions: where

7. 7 Simulation setup

8. 8 Measurement curves: Suction/blowing actuation slots:

9. 9 GL parameters:

10. 10 The residue between real CFD data and GL simulations:

11. 11 Controller kernels:

12. 12 The state feedback controller:

13. 13 Transverse velocity:

14. 14 The control input:

15. 15 Stabilization of fully developed vortex shedding at Re=60:

16. 16 Conclusion: Vortex shedding is successfully removed by the control at Reynolds number Re=60. The link is established between controllers previously designed for the Ginzburg-Landau model of vortex shedding and the actual flow dynamics. Additional effort: Ongoing work: trying for Re>60 Future work: involve CFD verification of the output feedback problem, which was solved for the GL equation in [Aamo2007]