A Theory of Control for Infinite Dimensional Systems With Application to Large Scale Space Structures

Abstract

An extended and unifying system identification technique for a class of systems that include all main signal models that arise in the Harmonic Decomposition Problem has been obtained. This technique unifies and extends the previously developed system identification techniques which are improvements on the PISARENKO (MUSIC, dually) Harmonic Decomposition as they arise in arrays of sensors. The advantages of the technique and some of its specializations given here include having no assumptions of stationarity on the stochastic processes involved. Another contribution on this technique is to show that it can also be used without any resort to probability theoretic concepts, thus bypassing the approximation of auto correlations via time averages, yielding the system parameters exactly. This techniques can be utilized to determine the dominant modes of vibrations of flexible structures as well. An analogy is established between arrays of sensors for target signal returns and those that can be used for vibrations in flexible structures.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1990
Accession Number
ADA219937

Entities

People

  • Erol Emre

Organizations

  • Texas Tech University

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Electrical Engineering
  • Engineering
  • Equations
  • Flexible Structures
  • Frequency
  • Hyperbolic Differential Equations
  • Large Space Structures
  • Partial Differential Equations
  • Probability
  • Stationary Processes
  • Stochastic Processes
  • Synthetic Aperture Radar
  • Traveling Waves
  • Wave Equations

Fields of Study

  • Engineering

Readers

  • Mathematical Modeling and Probability Theory.
  • Structural Dynamics.
  • Systems Analysis and Design

Technology Areas

  • Space
  • Space - Space Objects