Improvement of the Convergence Rate in the Transformation Method for Constrained Optimal Control Problems and its Application

Abstract

A modified transformation method in which the convergence rate had been improved for static optimization problems was applied to the optimal control problems with constraints. First, the dimension of constraints was considered, and the effectiveness of this method was verified by numerical examples. Moreover. as an application to the mechanical engineering, an optimal control problem of a refrigerant compressor was formulated, and a modified transformation method was applied to a practical problem. As the result, a proper solution was obtained, and it was confirmed that the present method was effective in the practical application.