JPEG-like method of control parametrization for numerical solution of the distributed optimization problems

Abstract

The present author continued his work on the study of the control parametrization technique for solution of the distributed optimization problems. Proposed was a new method of control parametrization resembling that for information compression used in the JPEG format to reduce by the factor of several times the count of parameters describing the control without an appreciable deterioration in closeness to the optimum. Withdrawn were formulas required for application of the proposed approach to control parametrization in combination with the numerical methods of finite-dimensional optimization for solution of the mathematical programming problem approximating the original optimal control problem. The results of numerical experiments were described and analyzed in detail.