Reduced Order Feedback Synthesis for Viscous Incompressible Flows

Abstract

We discuss the application of the reduced basis method for the simulation and control of unsteady viscous flows governed by the incompressible Navier-Stokes equations. We describe how to use this method in terms of the construction of a lower-order compensator design. our approach includes a construction method of the optimal state feedback law for finite dimensional nonlinear regulator problems. The method is applied to construct a feedback law for the reduced order control model of the Navier-Stokes equations, and then we apply our feedback law to the original control system. Our method is demonstrated on a control problem formulated in a channel flow using a boundary velocity control. We also show how these ideas can be extended to control problems governed by partial differential equations. Numerical results are reported for the open a closed loop controls, and a compensator design is proposed to complete the closed loop dynamics.

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Document Details

Document Type
Technical Report
Publication Date
Mar 21, 1999
Accession Number
ADA451174

Entities

People

  • Jeffry D. Schroeter
  • Kazufumi Ito

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Channel Flow
  • Control Systems
  • Differential Equations
  • Equations
  • Feedback
  • Flow
  • Fluid Flow
  • Incompressible Flow
  • Information Operations
  • Navier Stokes Equations
  • North Carolina
  • Partial Differential Equations
  • Viscous Flow

Fields of Study

  • Mathematics
  • Physics

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.