New results on H∞ control for interval type-2 fuzzy singularly perturbed systems with fading channel: The weighted try-once-discard protocol case

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2023-07-01 DOI:10.1016/j.amc.2023.127939

Yue Hu , Chenxiao Cai , SeungHoon Lee , YongGwon Lee , Oh-Min Kwon

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引用次数: 0

Abstract

This article deals with the interval type-2 (IT2) fuzzy model-based $H_{\infty}$ control problem for networked singularly perturbed systems (SPSs) under fading channel. To prevent data collision, a weighted try-once-discard (WTOD) communication scheme is adopted to adjust the communication sequence of sensor nodes. Based on this transmission strategy, only one sensor with more considerable difference is allowed to be transmitted at each time instant. On the other hand, a time-varying stochastic process model is introduced to describe the behavior of the fading channels in unreliable networks. Based on fading state signal and known bounds, the imperfectly matched membership functions (MFs) are reconstructed in the controller. Accordingly, under the effect of fading channels and WTOD protocol, a new IT2 fuzzy controller is constructed for the networked IT2 fuzzy SPSs. Meanwhile, by constructing a singular perturbation parameter (SPP) dependent Lyapunov function, sufficient conditions are established to guarantee the mean square stability of networked IT2 fuzzy SPSs, and the numerical stiffness issue is avoided. Finally, the practicability of the proposed methods is proved through a tunnel diode circuit simulation.

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带衰落信道的区间2型模糊奇摄动系统H∞控制的新结果:加权尝试一次丢弃协议情况

研究衰落信道下网络奇摄动系统的区间2型（IT2）模糊模型H∞控制问题。为了防止数据冲突，采用加权一次丢弃（WTOD）通信方案来调整传感器节点的通信顺序。基于这种传输策略，在每个时刻只允许传输一个具有更大差异的传感器。另一方面，引入了一个时变随机过程模型来描述不可靠网络中衰落信道的行为。基于衰落状态信号和已知边界，在控制器中重构了不完全匹配隶属函数。因此，在衰落信道和WTOD协议的影响下，为网络化的IT2模糊SPS构造了一种新的IT2 fuzzy控制器。同时，通过构造奇异摄动参数相关的李雅普诺夫函数，建立了保证网络IT2模糊SPS均方稳定性的充分条件，避免了数值刚度问题。最后，通过对隧道二极管电路的仿真，验证了所提方法的实用性。

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

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.