Accession Number:

ADA464776

Title:

Basis Construction for the Design of Boundary Feedback Controls From Reduced Order Models (Preprint)

Descriptive Note:

Journal article

Corporate Author:

AIR FORCE RESEARCH LAB WRIGHT-PATTERSON AFB OH AIR VEHICLES DIRECTORATE

Personal Author(s):

Report Date:

2006-11-01

Pagination or Media Count:

20.0

Abstract:

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. A weak formulation approach, in combination with proper orthogonal decomposition and Galerkin projection, is used to develop a reduced model of the distributed parameter system. Comparisons are done between reduced and full order solutions under open-loop boundary actuation to illustrate advantages gained by separate consideration of actuated dynamics in the reduced modeling process. A tracking control problem is specified for the full order system 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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE