合成最佳稳定仿射系统

Pub Date : 2024-04-01 DOI:10.1134/s0965542524020039

L. T. Ashchepkov

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引用次数: 0

摘要

摘要提出了一种构建反馈的方法，以确保仿射系统的轨迹能吸引到平衡状态和给定流形。该反馈以解析形式作为辅助最优控制问题的解被找到。给出了最优控制存在的充分条件。讨论了所提方法在一些线性和非线性系统中的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Synthesis of an Optimal Stable Affine System

Abstract

A method for constructing a feedback that ensures the attraction of trajectories of an affine system to an equilibrium state and to a given manifold is proposed. The feedback is found in an analytical form as a solution to an auxiliary optimal control problem. Sufficient conditions for the existence of the optimal control are given. Application of the proposed method to some classes of linear and nonlinear systems is discussed.

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