Event-triggered sliding mode control for singular discrete-time fuzzy Markov jump networked systems

IF 17.7 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-04-13 DOI:10.1177/01423312241232377
Xinru Gao, Yueqiao Han
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Abstract

In this present paper, the event-triggered sliding mode control (SMC) issue for a type of singular networked Markov jump systems with partly unknown transition probabilities (TPs) is mainly investigated, and it is modeled by discrete-time Takagi–Sugeno fuzzy systems. To save network resources, a mode-dependent event-triggered scheme (ETS) is applied to improve transmission efficiency. Subsequently, a common sliding surface is designed, which can effectively reduce the impact of the jumping process. Therein, the stochastic admissibility criterion for the system with [Formula: see text] performance [Formula: see text] is derived in the sense of partly unknown TPs. Moreover, a novel SMC law that guarantees the reachability of the quasi-sliding mode is given in view of the reaching condition. Finally, the validity of the presented theorems is demonstrated by a numerical example.
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奇异离散时模糊马尔可夫跃迁网络系统的事件触发滑模控制
本文主要研究了一种具有部分未知转换概率(TPs)的奇异网络马尔可夫跃迁系统的事件触发滑模控制(SMC)问题,并以离散时间高木-菅野模糊系统为模型。为了节省网络资源,采用了与模式相关的事件触发方案(ETS)来提高传输效率。随后,设计了一个公共滑动面,可有效减少跳跃过程的影响。由此,在部分未知 TPs 的意义上,推导出了具有[公式:见正文]性能[公式:见正文]的系统的随机可接受性准则。此外,还给出了保证准滑动模式可达到性的新型 SMC 法则。最后,通过一个数值示例证明了所提出定理的有效性。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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