非周期采样条件下分段仿射网络控制系统的稳定性分析

IF 2 Q2 AUTOMATION & CONTROL SYSTEMS

IEEE Control Systems Letters Pub Date : 2025-07-28 DOI:10.1109/LCSYS.2025.3593291

Xiaofei Wang;Guoliang Chen;Zhichuang Wang;Jianwei Xia

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引用次数: 0

摘要

本文建立了基于积分二次约束的分段仿射网络控制系统的指数稳定性分析框架，并采用离散时间方法研究了时变时滞下的非周期采样问题。本文的工作有三个方面。首先对连续时间系统进行离散化，得到精确的离散表示。其次，将模型转化为与施工运营商的反馈互联系统，为稳定性分析奠定理论基础。第三，给出了分段仿射网络控制系统指数稳定的充分条件。最后，对基于积分二次约束的方法进行了数值验证，为分析网络分段仿射系统的稳定性提供了新的理论工具。

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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Stability Analysis of Piecewise Affine Networked Control Systems Under Aperiodic Sampling

This letter establishes an exponential stability analysis framework for piecewise affine network control systems based on integral quadratic constraints, and adopts the discrete-time method to study the aperiodic sampling problem under time-varying delay. The work of this article has three aspects. Firstly, discretize the continuous-time system to obtain an accurate discrete representation. Secondly, transform the model into a feedback interconnection system with construction operators to lay a theoretical foundation for stability analysis. Thirdly, the sufficient conditions for the exponential stability of the piecewise affine network control system were derived. Finally, the method based on integral quadratic constraints was numerically verified, providing a new theoretical tool to analyze the stability of networked piecewise affine systems.

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来源期刊

IEEE Control Systems Letters Mathematics-Control and Optimization

CiteScore

4.40

自引率

13.30%

发文量

471