离散时间开关系统稳定和 l2 增益分析的新条件

IF 3.7 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-09-20 DOI:10.1016/j.jfranklin.2024.107207

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引用次数: 0

摘要

本文采用时变状态反馈控制方法来研究具有驻留时间约束的离散时间切换系统的全局渐近稳定问题。本文提出了一种离散驻留时间分区技术来设计时变 Lyapunov 函数，该函数有一个显著特点，即其值在任何时候都会减小，即使在每个切换瞬间也是如此。应用分区技术和时变控制方法，得出了一些计算复杂度可调的新条件，用于稳定离散时间开关系统。此外，后文还介绍了 l2 增益计算的扩展。本文提供了四个实例来说明理论分析的优点。

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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New conditions for stabilization and l2-gain analysis of discrete-time switched systems

This paper uses a time-varying state feedback control method to investigate the global asymptotic stabilization issue of discrete-time switched systems with dwell-time constraints. A discrete dwell-time partitioning technique is proposed to design a time-varying Lyapunov function, which has a distinct characteristic that its value decreases at any time, even at each switching instant. Applying the partitioning technique and the time-varying control method, some new conditions with adjustable computational complexity are derived for stabilizing the discrete-time switched systems. Moreover, the extension to $l_{2}$ -gain computation is presented in the sequel. Four examples are provided to illustrate the merits of the theoretical analysis.

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来源期刊

Journal of The Franklin Institute-engineering and Applied Mathematics 工程技术-工程：电子与电气

CiteScore

7.30

自引率

14.60%

发文量

586

审稿时长

6.9 months

期刊介绍： The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.