AN APPROXIMATION TECHNIQUE FOR SINGULAR CONTROL PROBLEMS,

Abstract

A method is presented which permits the solution of singular control problems by approximating the non-normal system with a normal system. It is shown that the approximation can be made arbitrarily accurate. The optimal control of the approximate system is then determined and applied to the actual system. Bounds are obtained on the errors in boundary conditions and the degree of sub-optimality brought about by the technique. The method is valid for minimum time and minimum fuel problems with linear, constant plants. Examples are presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1967
Accession Number
AD0665151

Entities

People

  • Gerald Cook

Organizations

  • United States Air Force Academy

Tags

Fields of Study

  • Physics

Readers

  • Electrical Engineering
  • Linear Algebra
  • Operations Research