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

TL;DR

This paper introduces a numerical algorithm for controlling nonlinear stationary systems to achieve state transfer, demonstrated through an interorbital flight example, with a focus on practical implementation.

Contribution

It presents a new constructive algorithm for solving boundary value problems in nonlinear control systems, suitable for numerical application.

Findings

Algorithm successfully transfers states in nonlinear systems

Numerical simulation confirms effectiveness for interorbital flight

Provides a practical criterion for transfer feasibility

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.