通过嵌套饱和器形式的反馈实现双积分器链的全局稳定

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

Automation and Remote Control Pub Date : 2024-08-23 DOI:10.1134/s0005117924040040

A. V. Pesterev, Yu. V. Morozov

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引用次数: 0

摘要

摘要研究了通过嵌套饱和器形式的反馈稳定两个积分器链时出现的开关系统的稳定性。使用嵌套饱和器形式的反馈可以考虑控制资源的有界性，并确保实现对接近平衡状态速度的相位约束，这在初始偏差较大的情况下尤为重要。通过构建 Lyapunov 函数，证明了闭环系统在任何正反馈系数下的全局渐近稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Global Stabilization of a Chain of Two Integrators by a Feedback in the Form of Nested Saturators

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Global Stabilization of a Chain of Two Integrators by a Feedback in the Form of Nested Saturators

Abstract

Stability of a switching system, which comes to existence when stabilizing a chain of two integrators by a feedback in the form of nested saturators, is studied. The use of the feedback in the form of nested saturators makes it possible to take into account boundedness of the control resource and to ensure the fulfillment of the phase constraint on the velocity of approaching the equilibrium state, which is especially important in the case of large initial deviations. A Lyapunov function is constructed by means of which global asymptotic stability of the closed-loop system is proved for any positive feedback coefficients.

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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.).