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On Delay-Based Linear Models and Robust Control of Cavity Flows

  • Xin Yuan
  • Mehmet Önder Efe
  • Hitay Özbay
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 38)

Abstract

Design and implementation of now control problems pose challenging difficulties as the now dynamics are governed by coupled nonlinear equations. Recent research outcomes stipulate that the problem can be studied either from a reduced order modeling point of view or from a transfer function point of view. The latter idcntifies the physics of the problem on the basis of separate components such as scattering, acoustics, shear layer etc. This chapter uses the transfer function representation and demonstrates a good match between the real-time observations and a well-tuned transfer function can be obtained. Utilizing the devised model, an H∞ controller based on Toker-Özbay formula is presented. The simulati on results illustrate that the effect of the noise can be eliminated significantly by appropriately exciting the now dynamics.

Keywords

Shear Layer Proper Orthogonal Decomposition Robust Control Finite Impulse Response Resonant Peak 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Ravindran SS ([2000]). A Reduced Order Approach for Optimal Control of Fluids Using Proper Orthogonal Decomposition. International Journal for Numerical Methods in Fluids, 34:425–488.MathSciNetzbMATHCrossRefGoogle Scholar
  2. 2.
    Atwell JA, King BB ([2001]). Proper Onhogonal Decomposition for Reduced Basis Feedback Controllers for Parabolic Equations. Mathematical and Computer Modelling of Dynamical Systems, 33: 1–19.MathSciNetzbMATHCrossRefGoogle Scholar
  3. 3.
    Williams DR, Rowley CW, Colonius T, Murray RM, MacMartin DG, Fabris D, Albenson J ([2002]). Model Based Control of Cavity Oscillations Pan I: Experiments. 40th Aerospace Sciences Meeting (AIAA 2002-0971), Reno, NY.Google Scholar
  4. 4.
    Rowley CW, Williams DR, Colonius T, Murray RM, MacManin DG, Fabris D ([2002]). Model Based Control of Cavity Oscillations Pan II: System Identification and Analysis. 40th Aerospace Sciences Meeting (AiAA 2002-0972), Reno, NY.Google Scholar
  5. 5.
    Rowley CW, Colonius T, Murray RM ([2001]). Dynamical Models for Control of Cavity Oscillations. 7th AIAA/CEAS Aeroacoustics Conf. (AIAA 2001-2126), May 28–30, Maastricht, The Netherlands.Google Scholar
  6. 6.
    Toker O, Özooy H ([1995]). H∞ Optimal and Suboptimal Controllers for Infnite Dimensional SISO Plants. IEEE Transactions on Automatic Control, 40:751–755.zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Xin Yuan
    • 1
  • Mehmet Önder Efe
    • 2
  • Hitay Özbay
    • 3
  1. 1.Collaborative Center of Control Science, Department of Electrical EngineeringThe Ohio State UniversityColumbusUSA
  2. 2.Collaborative Center of Control Science, Department of Electrical EngineeringThe Ohio State UniversityColumbusUSA
  3. 3.Department of Electrical and Electronics EngineeringBilkent UniversityBilkent, AnkaraTurkey

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