二阶仿射开关系统的全局稳定性

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

Automation and Remote Control Pub Date : 2023-12-21 DOI:10.1134/s0005117923090060

A. V. Pesterev

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引用次数: 0

摘要

摘要研究了仿射开关系统的稳定性。该系统是通过嵌套饱和器形式的反馈稳定两个积分器链时产生的。使用这种反馈可以方便地考虑控制资源的有界性，限制接近平衡态的最大速度（这在初始偏差较大的情况下尤为重要），并确保瞬态过程的理想特性，如平衡态附近偏差下降的给定指数率。实验证明，闭环系统是全局稳定的。

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Global Stability of a Second-Order Affine Switching System

Abstract

Stability of an affine switching system is studied. The system comes to existence when stabilizing a chain of two integrators by means of a feedback in the form of nested saturators. The use of such a feedback allows one to easily take into account boundedness of the control resource, to constrain the maximum velocity of approaching the equilibrium state, which is especially important in the case of large initial deviations, and to ensure desired characteristics of the transient process, such as a given exponential rate of the deviation decrease near the equilibrium state. It is proved that the closed-loop system is globally stable.

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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.).