Accession Number : AD0665151

Title :   AN APPROXIMATION TECHNIQUE FOR SINGULAR CONTROL PROBLEMS,

Corporate Author : FRANK J SEILER RESEARCH LAB UNITED STATES AIR FORCE ACADEMY COLO

Personal Author(s) : Cook,Gerald

Report Date : DEC 1967

Pagination or Media Count : 22

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)

Descriptors :   (*APPROXIMATION(MATHEMATICS), OPTIMIZATION), CONTROL SYSTEMS, ATTITUDE CONTROL SYSTEMS, PROBLEM SOLVING, BOUNDARY VALUE PROBLEMS, MATRICES(MATHEMATICS), DETERMINANTS(MATHEMATICS), THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE