Abstract

An algorithm, quite convenient for numerical implementation, is proposed for constructing a differentiable control function that guarantees the transfer of a wide class of nonlinear stationary systems of ordinary differential equations from the initial state to a given final state of the phase space, taking into account control constraints and external perturbations. A constructive criterion guaranteeing this transfer is obtained. The efficiency of the algorithm is illustrated by solving a specific practical problem and its numerical simulation.

中文翻译：

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求解微分控制类非线性平稳受控系统局部边值问题的一种方法

摘要

提出了一种非常便于数值实现的算法，用于构造可微分控制函数，该函数保证将常微分方程的各种非线性稳态系统从初始状态转移到相空间的给定最终状态，考虑到控制约束和外部扰动。获得了保证这种转移的建设性标准。该算法的效率通过解决一个具体的实际问题及其数值模拟来说明。