A Snapshot Decomposition Method for Reduced Order Modeling and Boundary Feedback Control (Postprint)

Abstract

In this paper, we develop a reduced basis construction method that allows for separate consideration of baseline and actuated dynamics in the reduced modeling process. A prototype initial boundary value problem, governed by the two-dimensional Burgers equation, is formulated to demonstrate the utility of the method in a boundary control setting. Comparisons are done between reduced and full order solutions under open-loop boundary actuation to illustrate advantages gained by separate consideration of actuated dynamics. A tracking control problem is specified using a linear quadratic regulator formulation. Comparisons of feedback control effectiveness are done to demonstrate benefits in control effectiveness obtained from separate consideration of actuated dynamics during model reduction.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 2008
Accession Number
ADA486628

Entities

People

  • J. M. Ausseur
  • James H. Myatt
  • M. N. Glauser
  • M. Y. Andino
  • R. C. Camphouse
  • R. D. Wallace
  • Ryan F. Schmit

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Air Force Research Laboratories
  • Aircrafts
  • Boundaries
  • Construction
  • Decomposition
  • Dynamics
  • Equations
  • Feedback
  • Flow
  • Fluid Flow
  • Geometry
  • Hypervelocity Flow
  • Models
  • Two Dimensional
  • United States

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electrical Engineering
  • Systems Analysis and Design