A Method for Solving Boundary Value Problems for Nonlinear Control Systems in the Class of Discrete Controls

摘要

We suggest an algorithm for constructing discrete control functions. This algorithmis sufficiently convenient for numerical implementation and, for a wide class of nonlinear systemsof ordinary differential equations, provides the passage from the initial state into an arbitrarygiven or arbitrarily small neighborhood of a given terminal state. We obtain a constructivecriterion for the choice of terminal states and discretization steps for which the passage is possiblewith regard of the constraints imposed on the control and the phase coordinates. We consideran interorbital flight problem, for which we carry out numerical simulation.