Sliding mode control for T-S fuzzy delayed systems via event-triggered round-robin protocol

IF 3.4 2区 数学 Q1 MATHEMATICS, APPLIED
Zhiyuan Zuo , Jun Hu , Hongxu Zhang , Hao Liu , Guangchen Zhang
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引用次数: 0

Abstract

This study addresses the sliding mode control (SMC) issue for Takagi-Sugeno (T-S) fuzzy systems with time-varying delay, which takes the access constrained communication network into account. Firstly, a new event-triggered round-robin (ETRR) protocol is designed to reduce the communication burden. Subsequently, according to the ETRR protocol, a new fuzzy mode-dependent SMC law is constructed, where the controller's membership functions (MFs) depend on the compromised triggered state. Furthermore, sufficient conditions related to the event-triggered mechanism are provided to ensure the stability of the controlled system with satisfactory H performance and the reachability of the sliding surface by constructing a token-dependent Lyapunov functional. In addition, an optimization problem is established to solve the optimal H performance level. Finally, the usefulness of the proposed SMC approach and the superiority of the ETRR protocol are displayed by comparative simulation experiments.
基于事件触发轮循协议的T-S模糊延迟系统滑模控制
本文研究了考虑接入约束通信网络的时变延迟Takagi-Sugeno (T-S)模糊系统的滑模控制问题。首先,设计了一种新的事件触发轮询(ETRR)协议,以减少通信负担。然后,根据ETRR协议,构造了一个新的模糊模相关的SMC律,其中控制器的隶属函数依赖于被破坏的触发状态。进一步,通过构造一个令牌相关的Lyapunov泛函,提供了与事件触发机制相关的充分条件,以保证被控系统具有满意的H∞性能的稳定性和滑动面的可达性。此外,还建立了求解H∞最优性能水平的优化问题。最后,通过对比仿真实验验证了该方法的有效性和ETRR协议的优越性。
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
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.
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