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

2017/02/28 by Kvitko, Alexander N., Firyulina, Oksana S., Eremin, Alexey S. · 1 citation
#93C10 #93C15 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1702.08721

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.

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