A Method for Solving a Local Boundary-Value Problem for a Nonlinear Controlled System

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Abstract

A wide class of nonlinear time-invariant systems of ordinary differential equations is considered. A rather convenient algorithm for constructing a differentiable control function that performs a guaranteed transition of such systems from an initial state to a given terminal state of the state space under control constraints is proposed. A constructive criterion that guarantees the above-mentioned translation is obtained. The efficiency of this algorithm is illustrated by numerical solution of a specific practical problem.
Translated title of the contributionОБ ОДНОМ МЕТОДЕ РЕШЕНИЯ ЛОКАЛЬНОЙ КРАЕВОЙ ЗАДАЧИ ДЛЯ НЕЛИНЕЙНОЙ УПРАВЛЯЕМОЙ СИСТЕМЫ
Original languageEnglish
Pages (from-to)236–246
JournalAutomation and Remote Control
Volume81
Issue number2
StatePublished - Feb 2020

Keywords

  • BOUNDARY CONDITIONS
  • CONTROLLABILITY
  • stabilization

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