Theory of Filtering and Control with Application to Control of Large Space Structures.

Abstract

This report summarizes accomplishments under a grant to study modeling. Identification, and control of flexible structures and to study random fields with applications to laser beam distortion in a turbulent field. Research in flexible structures focused on deriving continuum models base upon partial differential equations and derived methods for the solution of the resulting boundary control problems. A robust controller for stabilization based upon the abstract Hilbert-space semigroup formulation was derived as was a stochastic control theory for partial differential equations. A white noise theory for random fields was derived which has applications to laser beam propagation in the atmosphere; in particular, it is used to model the turbulent field.

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Document Details

Document Type
Technical Report
Publication Date
Mar 30, 1988
Accession Number
ADA195500

Entities

People

  • A.V. Balakrishnan

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Computational Science
  • Differential Equations
  • Distortion
  • Equations
  • Filtration
  • Flexible Structures
  • Hilbert Space
  • Identification
  • Laser Beams
  • Lasers
  • Mathematics
  • Noise
  • Partial Differential Equations
  • Stochastic Control
  • Wave Equations
  • White Noise

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Robotics and Automation.

Technology Areas

  • Directed Energy
  • Space
  • Space - Spacecraft Maneuvers