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Model Predictive Control for a 2D Bluff Body Under Disturbed Flow Conditions

  • Conference paper
Active Flow Control II

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 108))

Abstract

Experimental investigations aiming at the reduction of the aerodynamic drag of a 2D bluff body by closed-loop flow control are conducted. Pulsed suction at the rear end of the body has been applied. The controllers exploit measurements of the base pressure of the body since the base pressure correlates well with the drag. Disturbances in terms of changed oncoming flow conditions have been examined. Furthermore, a second 2D bluff body appearing in the wake of the first body disturbs the flow field. A model predictive and a robust model predictive controller have been tested successfully in experiments and are compared.

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References

  1. King, R., Seibold, M., Lehmann, O., Noack, B., Morzynski, M., Tadmor, G.: Nonlinear flow control based on a low dimensional model of fluid flow. LNCIS, vol. 322, pp. 365–386 (2005)

    Google Scholar 

  2. Luchtenburg, D.M., Aleksic, K., Schlegel, M., Noack, B.R., King, R., Tadmor, G., Günther, B., Thiele, F.: Turbulence control based on reduced-order models and nonlinear control design. In: 2nd Active Flow Control Conference

    Google Scholar 

  3. King, R., Becker, R., Garwon, M., Henning, L.: Robust and adaptive closed-loop control of separated shear flows. AIAA Paper 2004-2519 (2004)

    Google Scholar 

  4. Becker, R., King, R., Petz, R., Nitsche, W.: Adaptive closed-loop separation control on a high-lift configuration using extremum seeking. AIAA Journal 45, 1382–1392 (2006)

    Article  Google Scholar 

  5. Ariyur, K.B., Krstić, M.: Real-time optimization by extremum-seeking control. John Wiley & Sons, Hoboken (2003)

    Book  MATH  Google Scholar 

  6. Henning, L., Becker, R., Feuerbach, G., Muminović, R., King, R., Petz, R., Brunn, A., Nitsche, W.: Extension of adaptive slope-seeking for active flow control. Proceedings of the I Mech E, Part I: Journal of Systems and Control Engineering 222, 309–322 (2008)

    Article  Google Scholar 

  7. Beaudoin, J.F., Cadot, O., Aider, J.L., Wesfreid, J.E.: Drag reduction of a bluff body using adaptive control methods. Physics of Fluids 18(085107), 1–10 (2006)

    Google Scholar 

  8. Wiederhold, O., King, R., Noack, B.R.: Robust control in turbomachinery configurations. In: 2nd Active Flow Control Conference

    Google Scholar 

  9. King, R., Becker, R., Garwon, M., Henning, L.: Robust and adaptive closed-loop control of separated shear flows. AIAA Paper 2004-2519 (2004)

    Google Scholar 

  10. Henning, L., King, R.: Drag reduction by closed-loop control of a separated flow over a bluff body with a blunt trailing edge. In: Proceedings of the 44th IEEE Conference on Decision and Control, and European Control Conference ECC 2005, Seville, Spain (2005)

    Google Scholar 

  11. Henning, L., King, R.: Multivariable closed-loop control of the reattachment length downstream of a backward-facing step. In: Proceedings of the 16th IFAC World Congress, IFAC, Prague, Czechia (2005)

    Google Scholar 

  12. King, R., et al.: Model predictive flow control - invited paper. AIAA Paper 2008-3975 (2008)

    Google Scholar 

  13. Heinz, N., King, R., Bauer, M., Nitsche, W., Gölling, B.: Robust closed-loop lift control on an industry-relevant civil aircraft half model. In: 2nd Active Flow Control Conference

    Google Scholar 

  14. Kothare, M.V.: Control of Systems Subject to Constraints. PhD thesis, California Institute of Technology, Pasadena, California (1997)

    Google Scholar 

  15. Pluymers, B.: Robust model based predictive control - an invariant set approach. PhD thesis, Katholieke Universiteit Leuven, Leuven, Belgium (2006)

    Google Scholar 

  16. Cooper, K.R.: Closed-test-section wind tunnel blockage corrections for road vehicles. SAE SP-1176 (1996)

    Google Scholar 

  17. Huerre, P., Monketwitz, P.A.: Local and global instabilities in spatially developing flows. Annual Review of Fluid Mechanics 22, 473–537 (1990)

    Article  Google Scholar 

  18. Zhang, H.Q., Fey, U., Noack, B., König, M., Eckelmann, H.: On the transition of the cylinder wake. Physics of Fluids 7, 779–794 (1995)

    Article  Google Scholar 

  19. Pastor, M., Henning, L., Noack, B., King, R., Tadmor, G.: Feedback shear layer control for bluff body drag reduction. Journal of fluid mechanics 608, 161–196 (2008)

    Article  Google Scholar 

  20. Hucho, W.H.: Aerodynamik der stumpfen Körper - Physikalische Grundlagen und Anwendungen in der Praxis. Vieweg Verlag (2002)

    Google Scholar 

  21. MATLAB version R2007b, Natick. The MathWorks Inc., Massachusetts (2007)

    Google Scholar 

  22. Rossiter, J.A.: Model-based predictive control: a practical approach. CRC Press, Boca Raton (2003)

    Google Scholar 

  23. Mayne, D.Q., Rawlings, J.B., Rao, C.V., Scokaert, P.O.M.: Constrained model predictive control: Stability and optimality. Automatica 36, 789–814 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  24. Ferreau, H., Bock, H., Diehl, M.: An online active set strategy to overcome the limitations of explicit mpc. International Journal of Robust and Nonlinear Control 18, 816–830 (2008)

    Article  MathSciNet  Google Scholar 

  25. Wan, Z., Kothare, M.V.: Efficient robust model predictive control via convex optimization. VDM Verlag Dr. Müller, Saarbrücken (2008)

    Google Scholar 

  26. Kothare, M.V., Balakrishnan, V., Morari, M.: Robust constrained model predictive control using linear matrix inequalities. Automatica 32, 1361–1379 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  27. Borchers, B.: CSDP, a C library for semidefinite programming. Optimization Methods and Software 11, 613–623 (1999)

    Article  MathSciNet  Google Scholar 

  28. Borchers, B.: CSDP 2.3 user’s guide. Optimization Methods and Software 11, 597–611 (1999)

    Article  MathSciNet  Google Scholar 

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Muminovic, R., Pfeiffer, J., Werner, N., King, R. (2010). Model Predictive Control for a 2D Bluff Body Under Disturbed Flow Conditions. In: King, R. (eds) Active Flow Control II. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 108. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11735-0_17

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  • DOI: https://doi.org/10.1007/978-3-642-11735-0_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11734-3

  • Online ISBN: 978-3-642-11735-0

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