Computational Methods for Identification, Optimization and Control of PDE Systems

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.

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Document Details

Document Type
Technical Report
Publication Date
Apr 30, 2010
Accession Number
ADA523367

Entities

People

  • Eugene M. Cliff
  • John A. Burns
  • Lizette Zietsman

Organizations

  • Virginia Tech

Tags

Communities of Interest

  • Human Systems
  • Sensors
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Convergence
  • Differential Equations
  • Dynamics
  • Equations
  • Flow
  • Fluid Flow
  • Fluid Mechanics
  • Mathematics
  • Optimization
  • Partial Differential Equations
  • Simulations
  • Vehicles

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Missile Defense Systems.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers