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Reduced-order controllers for fluid mechanics applications

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Manipulation and Control of Jets in Crossflow

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 439))

Abstract

Controller complexity is a crucial parameter for control in engineering applications. Controllers with a large number of states are of no practical interest because of the amount of hardware and computer power necessary to compute a real-time control law. Consequently, it is crucial to reduce the order of the controller. This summary provides a background on some techniques useful for deriving reduced-order controllers for fluid mechanics applications, setting the stage for the specific topics described later in this text.

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References

  • Brown, C. E., and Michael, W. H. 1954 Effect of leading-edge separation on the lift of a delta wing, J. Aero. Sci. 21, 690.

    Article  MATH  Google Scholar 

  • Chorin, J. 1973 Numerical study of slightly viscous flows, J. Fluid Mech. 57, 785.

    Article  MathSciNet  Google Scholar 

  • Cortelezzi, L., and Leonard, A. 1993 Point vortex model for the unsteady separated flow past a semi-infinite plate with transverse motion, Fluid Dynamics Research 11, 263.

    Article  Google Scholar 

  • Cortelezzi, L., Leonard, A., and Doyle, J. C. 1994 An example of active circulation control of the unsteady separated flow past a semi-infinite plate, Journal of Fluid Mechanics 260, 127.

    Article  Google Scholar 

  • Cortelezzi, L. 1996 Nonlinear Feedback Control of the Wake Past a Plate with a Suction Point on the Downstream Wall, Journal of Fluid Mechanics 327, 303.

    Article  MATH  Google Scholar 

  • Cortelezzi, L., Chen, Y-C., and Chang, H-L. 1997 Nonlinear Feedback Control of the Wake Past a Plate: from a Low-Order Model to a Higher-Order Model, Physics of Fluids 9, (7), 2009–2022.

    Article  MATH  MathSciNet  Google Scholar 

  • Cortelezzi, L., and Speyer, J. L. 1998 Robust Reduced-Order Controller of Laminar Boundary Layer Transitions, Physical Review E 58, (2), 1906.

    Article  Google Scholar 

  • Cortelezzi, L., Lee, K-H., Kim, J., and Speyer, J. L. 1998 Skin-Friction Drag Reduction Via Robust Reduced-Order Linear Feedback Control, Physics of Fluids 11, (1–2), 79.

    MATH  Google Scholar 

  • Dunstan, W.J., Bitmead, R. R. and Savaresi, S. M. 2001 Fitting nonlinear low-order models for combustion instability control, Control Engineering Practice 9, (12), 1301.

    Article  Google Scholar 

  • Farrell, B. F. 1988 Optimal excitation of perturbations in viscous shear flows, Phys. Fluids 31, (8), 2093.

    Article  Google Scholar 

  • Gadelhak, M. 2001 Flow control: The future, J. Aircraft, 38, (3), 402.

    Article  Google Scholar 

  • Gadelhak, M. 1999 Interactive control of turbulent boundary layers — A futuristic overview, Aim Journal, 32, (9), 1753.

    Google Scholar 

  • Graham, W. R., Peraire, J. and Tang, K. Y. 1999 Optimal control of vortex shedding using low-order models. Part II — Model-based control, Int. Journal for Numerical Methods in Fluids 44, (7), 973.

    MathSciNet  Google Scholar 

  • Guckenheimer, J., and Holmes, P. 1983 Nonlinear oscillations, dynamical systems, and bifurcation of vector fields, Springer-Verlag, New York.

    Book  Google Scholar 

  • Ho, C. M. and Tai, Y.C. 1996 Review — Mems and its applications for flow control, J. Fluids Eng. — Trans. Amse 118, 437.

    Article  Google Scholar 

  • Joshi, S. S., Speyer, J. L. & Kim, J. 1997 A systems theory approach to the feedback stabilization of infinitesimal and finite-amplitude disturbances in plane Poiseuille flow, J. Fluid Mech. 332, 157.

    MATH  Google Scholar 

  • Kang, S. M., Ryder, V., Cortelezzi, L. and Speyer, J. L. 1999 State-space formulation and control design for three-dimensional channel flows, American Control Conference, San Diego, California, 2–4 June 1999.

    Google Scholar 

  • Kang, S. M., Cortelezzi, L. and Speyer, J. L. 1999 Performance of a linear controller for laminar boundary layer transition in three-dimensional channel flow, Proceedings of the 38th Conference on Decision and Control, Phoenix, Arizona, 7–10 December, 1999.

    Google Scholar 

  • Lee, K-H., Cortelezzi, L., Kim, J. and Speyer, J. L. 2001 Application of reduced-order controller to turbulent flows for drag reduction, Physics of Fluidsl 3, (5), 1321.

    Article  Google Scholar 

  • Lofdahl, L. and Gadelhak, M. 1999 Mems applications in turbulence and flow control, Prog. in Aerospace Sciences,35, (2), 101.

    Google Scholar 

  • Lucia, D. J., Pachter, M. and Beran, P. S. 2002 Rocket nozzle flow control using a reduced-order computational fluid dynamics model, Journal of Guidance Control and Dynamics 25, (3), 449.

    Article  Google Scholar 

  • M’Closkey, R. T., King, J., Cortelezzi, L. and Karagozian, A. R. 2002 The actively controlled jet in crossflow, J. Fluid Mech. 452, 325.

    MATH  Google Scholar 

  • M’ Closkey, R. T., King, J., Cortelezzi, L. and Karagozian, A. R. 2002 Active control of jets in crossflow In Manipulation and Control of Transverse Jets, Springer-Verlag.

    Google Scholar 

  • Rao, D. M. 1987 Vortical flow management techniques, Prog. Aerospace Sci. 24, 173.

    Article  Google Scholar 

  • Raveh, D. E. 2001 Reduced-order models for unsteady aerodynamics, AL4A Journal 39, (8), 1417–1429.

    Google Scholar 

  • Ravindran, S. S. 2000 A reduced-order approach for optimal control of fluids using proper orthogonal decomposition, Int. Journal for Numerical Methods in Fluids 34, (5), 425.

    Article  MATH  MathSciNet  Google Scholar 

  • Rediniotis, O. K., Ko, J. and Kurdila, A. J. 2002 Reduced order nonlinear Navier-Stokes models for synthetic jets, Journal of Fluids Engineering — Transactions of th Asme 124, (2), 433–443.

    Article  Google Scholar 

  • Rhee, I. and Speyer, J. L. 1996 A game theoretic approach to a finite-time disturbance attenuation problem, Ieee Trans. Automatic Control 36, (9), 1021.

    Article  MathSciNet  Google Scholar 

  • Rott, N. 1956 Diffraction of a weak shock with vortex generation, J. Fluid Mech. 1, 111.

    Article  MATH  MathSciNet  Google Scholar 

  • Sarpkaya 1989 Computational methods with vortices — The 1988 Freeman Scholar Lecture, Asme J. Fluids Eng. 111, 5.

    Article  Google Scholar 

  • Sarpkaya 1994 Vortex element methods for flow simulation, Advance in Applied Mechanics 31, 113.

    Article  Google Scholar 

  • Tang, S. and Aubry, N. 2000 Suppression of vortex shedding inspired by a low-dimensional model, J. Fluids and Structures 14, (4), 443.

    Article  Google Scholar 

  • Zhou, K., Doyle, J. C. and Glover K. 1996 Robust and optimal control Prentice Hall.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, McGill University, Montreal, H3A 2K6, Canada

    Luca Cortelezzi

Authors
  1. Luca Cortelezzi
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Editor information

Editors and Affiliations

  1. University of California, USA

    Ann R. Karagozian

  2. McGill University, Montreal, Canada

    Luca Cortelezzi

  3. University of Udine, Italy

    Alfredo Soldati

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© 2003 Springer-Verlag Wien

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Cortelezzi, L. (2003). Reduced-order controllers for fluid mechanics applications. In: Karagozian, A.R., Cortelezzi, L., Soldati, A. (eds) Manipulation and Control of Jets in Crossflow. International Centre for Mechanical Sciences, vol 439. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2792-6_10

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  • DOI: https://doi.org/10.1007/978-3-7091-2792-6_10

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-00753-2

  • Online ISBN: 978-3-7091-2792-6

  • eBook Packages: Springer Book Archive

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