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


Personal Author(s) : Burns, John A ; Cliff, Eugene M ; Zietsman, Lizette


Full Text : http://www.dtic.mil/dtic/tr/fulltext/u2/a523367.pdf


Report Date : 30 Apr 2010


Pagination or Media Count : 10


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.


Descriptors :   *PARTIAL DIFFERENTIAL EQUATIONS , SPACE TECHNOLOGY , ERROR ANALYSIS , FLUID FLOW , RADAR EQUIPMENT , NUMERICAL METHODS AND PROCEDURES , AERODYNAMICS , ALGORITHMS


Subject Categories : Aerodynamics
      Numerical Mathematics
      Computer Programming and Software
      Unmanned Spacecraft


Distribution Statement : APPROVED FOR PUBLIC RELEASE