Accession Number : AD0696040

Title :   AN OPTIMAL CONTROL ALGORITHM BASED ON AN INITIAL COSTATE SEARCH.

Descriptive Note : Mechanical engineering rept.,

Corporate Author : NATIONAL RESEARCH COUNCIL OF CANADA OTTAWA (ONTARIO) DIV OF MECHANICAL ENGINEERING

Personal Author(s) : Birta,Louis G. ; Trushel,Peter J.

Report Date : APR 1969

Pagination or Media Count : 58

Abstract : An algorithm is presented for solving a wide class of optimal control problems. The algorithm is based on the reformulation of the associated two-point boundary value problem as a multi-dimensional minimization problem. This secondary problem is solved using the method of Davidon-Fletcher-Powell. Two techniques are considered for solving the one-dimensional minimization problem implicit in the Davidon-Fletcher-Powell method; the first is a polynomial interpolation technique, and the second a scheme based on the Fibonacci search. A variety of example problems are solved to demonstrate both the scope and the effectiveness of the algorithm. (Author)

Descriptors :   (*CONTROL SYSTEMS, OPTIMIZATION), (*BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS), ADAPTIVE CONTROL SYSTEMS, LINEAR SYSTEMS, INTERPOLATION, AUTOMATION, ALGORITHMS, CANADA

Subject Categories : Theoretical Mathematics
      Test Facilities, Equipment and Methods

Distribution Statement : APPROVED FOR PUBLIC RELEASE