Approximation of the Optimal Compensator for a Large Space Structure.

Abstract

This paper considers the approximation of the optimal compensator for a large Space Structure. The compensator is based upon a solution to the Linear Stochastic Quadratic Regulator problem. Colocation of sensors and actuators is assumed. A small gain analytical solution for the optimal compensator is obtained for a single input/single output system, i.e., certain terms in the compensator can be neglected for sufficiently small gain. The compensator is calculated in terms of the kernal to a Volterra integral operator using a Neumann series. The calculation of the compensator is based upon the C sub o semigroup for the infinite dimensional system. A finite dimensional approximation of the compensator is, therefore, obtained through analysis of the infinite dimensional compensator which is a compact operator. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1982
Accession Number
ADA120246

Entities

People

  • Michael K. Mackay

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • California
  • Classification
  • Closed Loop Systems
  • Compensators
  • Dynamics
  • Equations
  • Frequency
  • Information Science
  • Jet Propulsion
  • Large Space Structures
  • Mathematical Filters
  • Mathematical Models
  • Models
  • Open Loop Systems
  • Security
  • Steady State
  • Volterra Equations

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.

Technology Areas

  • Space