SURVEY OF WORKS CARRIED OUT IN COMPUTATIONAL CENTER OF ACADEMY OF SCIENCES OF USSR ON THE THEORY OF OPTIMAL CONTROL OF SPACECRAFT,

Abstract

Two approaches to the solution of variational problems of control of spacecraft are demonstrated. Problems using the principle of the maximum were discussed, and a very high accuracy of calculations was obtained. However, it requires great expenditure of machine time and requires a good first approximation. All calculations were carried out with very high degree of accuracy and in this sense the given results have a 'final character'. Methods of dynamic programming require a considerably smaller number of 'machine hours.' For their use there is no necessity to have a good first approximation. However, they are inferior to classical methods in the sense of accuracy. Schemes of only the first order of accuracy, equivalent to the scheme of integration of Euler were considered. Only now has there begun systematic investigation of finite difference schemes of higher order of accuracy.

Document Details

Document Type
Technical Report
Publication Date
May 25, 1965
Accession Number
AD0615857

Entities

People

  • N. N. Moiseev
  • V. N. Lebedev

Organizations

  • National Air and Space Intelligence Center

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Accuracy
  • Computer Programming
  • Dynamic Programming
  • Personality
  • Spacecraft

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design

Technology Areas

  • Space