Abstract
This paper is concerned with a solution of an optimal control problem with a steady state on an intermediate period of the control interval. On the remaining periods the system is assumed to be in a transient state. The problem consists of three successive phases in which the system equations and the criterion indexes are assumed to be different from each other.
In order to develop an algorithm the trajectory decomposition method is employed and then a multilevel calculation system is considered. At the first level of the calculation system, three independent optimization subproblem, which correspond to the three phase, are solved. At the second level, inference variables between phases are chosen so as to decrease the cost, functional of the problem and are fed to the first level. The algorithm is of a min-min type.
The optimal train operation curves are obtained by the algorithm.
