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Mathematical Problems in Engineering
Volume 2017, Article ID 8529760, 13 pages
https://doi.org/10.1155/2017/8529760
Research Article

Solving Boundary Value Problem for a Nonlinear Stationary Controllable System with Synthesizing Control

Department of Information Systems, Faculty of Applied Mathematics and Control Processes, Saint Petersburg State University, Universitetskii Prospekt 35, Petergof, Saint Petersburg 198504, Russia

Correspondence should be addressed to Alexander N. Kvitko; ur.liam@64tivkla

Received 2 March 2017; Revised 31 July 2017; Accepted 8 August 2017; Published 17 September 2017

Academic Editor: Chaudry M. Khalique

Copyright © 2017 Alexander N. Kvitko et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An algorithm for constructing a control function that transfers a wide class of stationary nonlinear systems of ordinary differential equations from an initial state to a final state under certain control restrictions is proposed. The algorithm is designed to be convenient for numerical implementation. A constructive criterion of the desired transfer possibility is presented. The problem of an interorbital flight is considered as a test example and it is simulated numerically with the presented method.