Stability Analysis of Asynchronous Impulsive Switched T-S Fuzzy Systems Based on the Admissible Edge-dependent Scheme

IF 2.5 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

International Journal of Control Automation and Systems Pub Date : 2024-08-02 DOI:10.1007/s12555-023-0610-5

Yufang Xie, Mengjie Li, Lijun Gao

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引用次数: 0

Abstract

The main purpose of this paper is to study the stability of discrete-time impulsive switched T-S fuzzy systems with two kinds of asynchronous behaviors, including asynchronous behavior between impulse and switching, and asynchronous switching between controllers and subsystems. We divide the subsystems into stable and unstable subsystems, which respectively adopt slow switching and fast switching methods. Then, based on multiple Lyapunov functions, admissible edge-dependent average dwell time (AED-ADT) and admissible edge-dependent average impulsive interval (AED-AII) methods, sufficient conditions for global uniform exponential stability (GUES) of the closed-loop system are established, and the results are less conservative than that based on mode-dependent average dwell time (MDADT) and mode-dependent average impulsive interval (MDAII) methods. In addition, we provide the solvability conditions for the state feedback controller. Finally, several numerical examples are provided to verify the effectiveness of the results in this paper.

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基于容许边缘依赖方案的异步脉冲开关 T-S 模糊系统稳定性分析

本文的主要目的是研究具有两种异步行为的离散时间脉冲切换 T-S 模糊系统的稳定性，包括脉冲与切换之间的异步行为，以及控制器与子系统之间的异步切换。我们将子系统分为稳定子系统和不稳定子系统，分别采用慢切换和快切换方法。然后，基于多重 Lyapunov 函数、可容许边缘相关平均驻留时间（AED-ADT）和可容许边缘相关平均脉冲间隔（AED-AII）方法，建立了闭环系统全局均匀指数稳定性（GUES）的充分条件，其结果不如基于模式相关平均驻留时间（MDADT）和模式相关平均脉冲间隔（MDAII）方法的结果保守。此外，我们还提供了状态反馈控制器的可解条件。最后，我们提供了几个数值示例来验证本文结果的有效性。

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

International Journal of Control Automation and Systems 工程技术-自动化与控制系统

CiteScore

5.80

自引率

21.90%

发文量

343

审稿时长

8.7 months

期刊介绍： International Journal of Control, Automation and Systems is a joint publication of the Institute of Control, Robotics and Systems (ICROS) and the Korean Institute of Electrical Engineers (KIEE). The journal covers three closly-related research areas including control, automation, and systems. The technical areas include Control Theory Control Applications Robotics and Automation Intelligent and Information Systems The Journal addresses research areas focused on control, automation, and systems in electrical, mechanical, aerospace, chemical, and industrial engineering in order to create a strong synergy effect throughout the interdisciplinary research areas.