ЗАСТОСУВАННЯ ДИФЕРЕНЦІЙНИХ ПЕРЕТВОРЕНЬ До НЕЛІНІЙНИМ ОПТИМАЛЬНИМ ПРОЦЕСІВ УПРАВЛІННЯ

Анотація

In paper, the differential transformation is applied for solving problems of nonlinear optimal control processes by dynamic objects. An approach based on the multi-step differential transform method and the Adomian polynomials for approximation of nonlinear terms of differential equations that describe dynamic process is proposed. It is offered an optimization model of multi-step control process. The model advantage is the possibility of process simulation of optimal control with piecewise continuous functions, determination of an optimal control and state trajectories without using numerical integration methods of differential equations of object dynamics. Herewith, the analytical solution of a problem is allowed, which essentially reducing amount of calculation.