受相位约束的三积分器链的稳定性

IF 0.6 4区计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS

Automation and Remote Control Pub Date : 2024-11-05 DOI:10.1134/S0005117924700036

A. V. Pesterev, Yu. V. Morozov

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引用次数: 0

摘要

研究了在相位约束条件下稳定三个积分器链的问题。合成了嵌套西格码形式的连续约束控制，该控制可保证相位约束的实现。构建了 Lyapunov 函数，并确定了闭环系统全局稳定性的必要和充分条件。讨论通过数值示例进行说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Stabilization of a Chain of Three Integrators Subject to a Phase Constraint

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Stabilization of a Chain of Three Integrators Subject to a Phase Constraint

The problem of stabilizing a chain of three integrators subject to a phase constraint is studied. Continuous constrained control in the form of nested sigmoids, which guarantees the fulfillment of the phase constraint, is synthesized. A Lyapunov function is constructed, and necessary and sufficient conditions of global stability of the closed-loop system are established. The discussion is illustrated by numerical examples.

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来源期刊

Automation and Remote Control 工程技术-仪器仪表

CiteScore

1.70

自引率

28.60%

发文量

审稿时长

3-8 weeks

期刊介绍： Automation and Remote Control is one of the first journals on control theory. The scope of the journal is control theory problems and applications. The journal publishes reviews, original articles, and short communications (deterministic, stochastic, adaptive, and robust formulations) and its applications (computer control, components and instruments, process control, social and economy control, etc.).