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Robust Reduced-Order Controller of Transitional Boundary Layers

  • L. Cortelezzi
  • J. L. Speyer
Part of the Progress in Systems and Control Theory book series (PSCT, volume 24)

Abstract

A framework to derive optimal and robust reduced-order controllers of transitional boundary layers using linear-quadratic-Gaussian (LQG) design, or, in modem terms, H 2 design, is presented. As a test case, two-dimensional Poiseuille flow is considered. A controller based on a reduced model, 8% of the order of the full size system, is designed. Initial conditions creating transient growth of wall-shear stresses are constructed. The controller is tested on a 32 wave numbers simulation. Wall-shear stresses reduction, up to 90%, is obtained. The transferability of the controller to Navier-Stokes simulations and engineering applications is discussed.

Keywords

Bottom Wall Poiseuille Flow Robust Controller Linear Quadratic Regulator Transient Growth 
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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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • L. Cortelezzi
    • 1
  • J. L. Speyer
    • 2
  1. 1.Department of Mathematics Department of Mechanical and Aerospace EngineeringUniversity of CaliforniaLos AngelesUSA
  2. 2.Department of Mechanical and Aerospace EngineeringUniversity of CaliforniaLos AngelesUSA

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