Accession Number:

ADA523367

Title:

Computational Methods for Identification, Optimization and Control of PDE Systems

Descriptive Note:

Final rept. 1 Apr 2007-30 Nov 2009

Corporate Author:

VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG INTERDISCIPLINARY CENTER FOR APPLIED MATHEMATICS

Report Date:

2010-04-30

Pagination or Media Count:

10.0

Abstract:

The research focused on the construction of high fidelity numerical methods and the development of a rigorous mathematical framework for attacking complex optimization and control problems with partial differential equations PDEs as constraints. The research is motivated by applications to two distinct but related application areas 1 Optimal design and control of ultra-light large space structures which will serve as the platforms for many future space applications such as space-based radar 2 Optimal design and control of flexible air vehicles and feedback control of fundamental fluid flows. We generated new numerical methods specifically for parameter estimation, shape optimization, optimal control and feedback control of PDE systems of the type that govern ultra-light inflatable space structures, aero-dynamic design and fluid flows. We developed a rigorous mathematical framework to analyze convergence of the resulting control, design and optimization algorithms, obtain error estimates and rates of convergence.

Subject Categories:

  • Aerodynamics
  • Numerical Mathematics
  • Computer Programming and Software
  • Unmanned Spacecraft

Distribution Statement:

APPROVED FOR PUBLIC RELEASE