Unified and Nonconservative Stability Conditions for Continuous-Time Switched Systems

IF 8.7 1区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

IEEE Transactions on Systems Man Cybernetics-Systems Pub Date : 2025-07-08 DOI:10.1109/TSMC.2025.3580361

Hui-Ting Wang;Songlin Zhuang;Yong He;Yang Shi;Min Wu

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引用次数: 0

Abstract

This article studies nonconservative stability conditions of continuous-time switched linear systems under mode-dependent dwell time (MDT). To establish a unified analysis approach for switched systems with stable and/or unstable subsystems, a concept called “dictionary” is introduced to characterize admissible MDT switching sequences. Subsequently, two equivalent nonconservative conditions of the global uniform asymptotic stability (GUAS) are obtained based on quadratic Lyapunov functions (LFs). Moreover, the stability results are transformed into convex conditions for facilitating the controller design. In addition, the developed stability results are applied to

$L_{2}$

-gain analysis and

$H_{\infty }$

controller design for the continuous-time switched linear system subject to external disturbances. Simulations are provided to validate the effectiveness and the superiority over existing results.

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连续时间切换系统的统一非保守稳定性条件

研究了模相关停留时间下连续时间切换线性系统的非保守稳定性条件。为了建立具有稳定和/或不稳定子系统的切换系统的统一分析方法，引入了“字典”的概念来表征可容许的MDT切换序列。然后，基于二次Lyapunov函数，得到了全局一致渐近稳定（GUAS）的两个等效非保守条件。并将稳定性结果转化为凸条件，便于控制器的设计。此外，所开发的稳定性结果可用于受外部干扰的连续时间切换线性系统的$L_{2}$ -增益分析和$H_{\infty }$控制器设计。仿真结果验证了该方法的有效性和优越性。

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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来源期刊

IEEE Transactions on Systems Man Cybernetics-Systems AUTOMATION & CONTROL SYSTEMS-COMPUTER SCIENCE, CYBERNETICS

CiteScore

18.50

自引率

11.50%

发文量

812

审稿时长

6 months

期刊介绍： The IEEE Transactions on Systems, Man, and Cybernetics: Systems encompasses the fields of systems engineering, covering issue formulation, analysis, and modeling throughout the systems engineering lifecycle phases. It addresses decision-making, issue interpretation, systems management, processes, and various methods such as optimization, modeling, and simulation in the development and deployment of large systems.