Application of optimal control theory for the re-stabilization of open flows: dream or reality?

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Event details

Date 21.05.2010
Hour 10:15
Speaker Prof. F. Gallaire, Laboratoire de mécanique des fluides et instabilités, EPFL Lausanne, Switzerland.
Location
MEC2405
Category Conferences - Seminars
Flow control refers to the ability to alter flows with the aim to achieve a desired effect; examples include drag reduction or noise attenuation among many other industrial applications. All these flow phenomena are associated with a strong flow unsteadiness that can be viewed as the nonlinear development of an initially linear instability of the underlying laminar flow. Feedback control appears as a natural candidate to quench these incipient instabilities at their earliest stages. In this presentation, we will first discuss how the transient and asymptotic linear flow dynamics can be determined by means of iterative algorithms for giant eigenvalue problems, which result from the discretization of the linearized governing equations of fluid dynamics. As a typical example, detached boundary layer flows will be considered. We will then discuss several model reduction techniques that yield low-order linear state-space representations amenable to LQG control and estimation. The effect of the feedback-control loop onto the neglected dynamics will be illustrated a posteriori on several flow cases.

Practical information

  • General public
  • Free

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