Wake stabilization using POD Galerkin models with interpolated modes

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 500-505

  Lehmann, Oliver ^a   Luchtenburg, Mark ^a   Noack, Bernd R ^a   King, Rudibert ^a   Morzyński, Marek ^b   Tadmor, Gilead ^c  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b POZNAN UNIVERSITY OF TECHNOLOGY   (Poland)

^c Northeastern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FEEDBACK CONTROL; INTERPOLATION; MATHEMATICAL MODELS; OPTIMIZATION; STABILIZATION;

FLUID FLOW SYSTEMS; GALERKIN MODELS; PROPER ORTHOGONAL DECOMPOSITION (POD);

FLUIDICS;

EID: 33847194254     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582205     Document Type: Conference Paper

References (27)

1. T. R. Bewley. Flow control: new challenges for a new renaissance. Progress in Aerospace Sciences, 37:21 - 58, 2001.
2. P. Holmes, J. L. Lumley, and G. Berkooz. Turbulence, Coherent Structures, Dynamical Systems and Symmetry. Cambridge University Press, 1998.
3. D. Rempfer. Kohärente Strukturen und Chaos beim laminarturbulenten Grenzschichtumschlag. PhD thesis, Fakultät Verfahrenstechnik der Universität Stuttgart, 1991.
4. J.L. Lumley and P.N. Blossey. Control of turbulence. Ann. Rev. Fluid Mech., 30:311-327, 1998.
5. S.S. Ravindran. Adaptive reduced-order controllers for a thermal flow system. SIAM Journal on Scientific Computing, 23:1924-1942, 2002.
6. O.K. Rediniotis, J. Ko, and A.J. Kurdila. Reduced order nonlinear Navier-Stokes models for synthetic jets. J. Fluids Enrng., 124(2):433-443, 2002.
7. B.R. Noack, P. Papas, and P.A. Monkewitz. The need for a pressure-term representation in empirical Galerkin models of incompressible shear flows. J. Fluid Mech., 523:339-365, 2005.
8. B.R. Noack, K. Afanasiev, M. Morzyński, G. Tadmor, and F. Thiele. A hierarchy of low-dimensional models for the transient and post-transient cylinder wake. J. Fluid Mech., 497:335-363, 2003.
9. J. Gerhard, M. Pastoor, R. King, B.R. Noack, A. Dillmann, M. Morzyński, and G. Tadmor. Model-based control of vortex shedding using low-dimensional Galerkin models. In 33rd AIAA Fluids Conference and Exhibit, Orlando, Florida, U.S.A., June 23-26, 2003, 2003. Paper 2003-4262.
10. K. Cohen, S. Siegel, T. McLaughlin, and J. Myatt. Proper orthogonal decomposition modeling of a controlled Ginzburg-Landau cylinder wake model. In 41st Aerospace Sciences Meeting and Exhibit, Reno NV, 2003.
11. S. Siegel, K. Cohen, and T. McLaughlin. Feedback control of a circular cylinder wake in experiment and simulation. In 33rd AIAA Fluids Conference and Exhibit, Orlando, Florida, U.S.A., June 23-26, 2003, 2003. Paper No 2003-3571.
12. G. Tadmor, B.R. Noack, A. Dillmann, J. Gerhard, M. Pastoor, R. King, and M. Morzyński. Control, observation and energy regulation of wake flow instabilities. In 42nd IEEE Conference on Decision and Control 2003, pages 2334-2339, Maui, HI, U.S.A., 9.-12. December 2003, 2003. WeM10-4.
13. R. King, M. Seibold, O. Lehmann, B.R. Noack, M. Morzyński and G. Tadmor. Nonlinear flow control based on a low dimensional model of fluid flow. In Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems. Lecture Notes in Control and Information Sciences, LNCIS, Vol. 322, T. Meurer, K. Graichen, E.D. Gilles (Eds.), pp.351-368, Springer, 2005.
14. L. Cordier and M. Bergmann. Proper Orthogonal Decomposition: An Overview. VKI Lecture Series 2003-04. Von Kármán Institut for Fluid Dynamics, 2003.
15. K. Cohen, S. Siegel, M. Luchtenburg, T. McLaughlin, and A. Seifert. Sensor placement for closed-loop flow control of a 'D' shaped cylinder wake. In 2nd AIAA Flow Control Conference, Portland, Oregon, U.S.A., 28.6.-1.7.2004, 2004. Paper 2004-2523.
16. C.W. Rowley, T. Colonius, and R.M. Murray. Model reduction for compressible flows using POD and Galerkin projection. Physica D, 189:115-129, 2004.
17. G. Tadmor and B.R. Noack. Dynamic estimation for reduced Galerkin models of fluid flows. In The 2004 American Control Conference, Boston, MA, U.S.A., June 30-July 2, 2004, 2004. Paper WeM18.1.
18. B.R. Noack, G. Tadmor, and M. Morzyński. Actuation models and dissipative control in empirical Galerkin models of fluid flows. In The 2004 American Control Conference, Boston, MA, U.S.A., June 30-July 2, 2004, 2004. Paper FrP15.6.
19. C.W. Rowley. Model reduction for fluids, using balanced proper orthogonal decomposition. Int. J. on Bifurcation and Chaos, 2005. in press.
20. M. Bergmann, L. Cordier, and J.-P. Brancher. Optimal rotary control of the cylinder wake using POD reduced order model. In 2nd AIAA Flow Control Conference, Portland, Oregon, U.S.A., 28.6.-1.7.2004, 2004. Paper 2004-2323.
21. M. F. Unal and D. Rockwell. On the vortex formation from a cylinder; Part 2. control by a splitter-plate interference. J. Fluid Mechanics, 190:513-529, 1987.
22. P. J. Strykowski and K. R. Sreenivasan. On the formation and suppression of vortex shedding at low Reynolds numbers. J. Fluid Mechanics, 218, 1990.
23. E. Detemple-Laake and H. Eckelmann. Phenomenology of Kármán vortex streets in oscillatory flow. Exps. Fluids, 7:217-227, 1989.
24. K. Roussopoulos. Feedback control of vortex shedding at low Reynolds numbers. J. Fluid Mechanics, 248:267-296, 1993.
25. J. Gerhard, M. Pastoor, R. King, B. R. Noack, A. Dillmann, M. Morzyński, and G. Tadmor. Model-based control of vortex shedding using low-dimensional Galerkin models. In Proc. AIAA Fluid Dynamics Conference and Exhibit, Orlando, Florida, June 23-26, 2003. Paper 2003-4261.
26. G. Tadmor. Observers and feedback control for a rotating vortex pair. IEEE Transactions on Control Systems Technology, 12:36 - 51, 2004.
27. K. Cohen, S. Siegel, and T. McLaughlin. Sensor placement based on proper orthogonal decomposition of a cylinder wake. In 33rd AIAA Fluids Conference and Exhibit, Orlando, Florida, U.S.A., June 23-26, 2003. Paper No 2003-4259.