基于滑模控制的马尔可夫跳变复杂网络的指数同步：在电路系统中的应用

IF 2.6 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2025-06-23 DOI:10.1016/j.ejcon.2025.101254

Saravanan Shanmugam , Premraj Durairaj , R. Vadivel , Karthikeyan Rajagopal

{"title":"基于滑模控制的马尔可夫跳变复杂网络的指数同步：在电路系统中的应用","authors":"Saravanan Shanmugam , Premraj Durairaj , R. Vadivel , Karthikeyan Rajagopal","doi":"10.1016/j.ejcon.2025.101254","DOIUrl":null,"url":null,"abstract":"<div><div>This paper deals with the synchronization problem in Markovian jump complex dynamic networks (MJCDNs) with time-varying delays. The network consists of N nodes that switch between different modes according to known Markovian jump parameters. The synchronization of these complex networks is achieved by sliding mode control (SMC) strategies. The study uses a suitable Lyapunov–Krasovskii functional (LKF) to formulate delay-dependent synchronization criteria as linear matrix inequalities, using free weighted matrices generated by the LKF. Furthermore, an integral sliding surface is developed to ensure the exponential stability of MJCDNs, and a controller is synthesized to derive the trajectory of the closed-loop system to the desired sliding surface. Two numerical examples demonstrate the practical application of the derived theoretical results.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"85 ","pages":"Article 101254"},"PeriodicalIF":2.6000,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Exponential synchronization for Markovian jump Lur’e complex networks using sliding mode control: Application to circuit system\",\"authors\":\"Saravanan Shanmugam , Premraj Durairaj , R. Vadivel , Karthikeyan Rajagopal\",\"doi\":\"10.1016/j.ejcon.2025.101254\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper deals with the synchronization problem in Markovian jump complex dynamic networks (MJCDNs) with time-varying delays. The network consists of N nodes that switch between different modes according to known Markovian jump parameters. The synchronization of these complex networks is achieved by sliding mode control (SMC) strategies. The study uses a suitable Lyapunov–Krasovskii functional (LKF) to formulate delay-dependent synchronization criteria as linear matrix inequalities, using free weighted matrices generated by the LKF. Furthermore, an integral sliding surface is developed to ensure the exponential stability of MJCDNs, and a controller is synthesized to derive the trajectory of the closed-loop system to the desired sliding surface. Two numerical examples demonstrate the practical application of the derived theoretical results.</div></div>\",\"PeriodicalId\":50489,\"journal\":{\"name\":\"European Journal of Control\",\"volume\":\"85 \",\"pages\":\"Article 101254\"},\"PeriodicalIF\":2.6000,\"publicationDate\":\"2025-06-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"European Journal of Control\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0947358025000834\",\"RegionNum\":3,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Control","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0947358025000834","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}

引用次数: 0

摘要

研究了时变时滞马尔可夫跳变复杂动态网络的同步问题。该网络由N个节点组成，这些节点根据已知的马尔可夫跳变参数在不同模式之间切换。这些复杂网络的同步是通过滑模控制（SMC）策略实现的。该研究使用合适的Lyapunov-Krasovskii泛函（LKF），利用LKF生成的自由加权矩阵，将延迟相关的同步标准表述为线性矩阵不等式。在此基础上，构造了一个积分滑动面来保证mjcdn的指数稳定性，并合成了一个控制器来导出闭环系统到期望滑动面的轨迹。两个数值算例验证了所得理论结果的实际应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Exponential synchronization for Markovian jump Lur’e complex networks using sliding mode control: Application to circuit system

This paper deals with the synchronization problem in Markovian jump complex dynamic networks (MJCDNs) with time-varying delays. The network consists of N nodes that switch between different modes according to known Markovian jump parameters. The synchronization of these complex networks is achieved by sliding mode control (SMC) strategies. The study uses a suitable Lyapunov–Krasovskii functional (LKF) to formulate delay-dependent synchronization criteria as linear matrix inequalities, using free weighted matrices generated by the LKF. Furthermore, an integral sliding surface is developed to ensure the exponential stability of MJCDNs, and a controller is synthesized to derive the trajectory of the closed-loop system to the desired sliding surface. Two numerical examples demonstrate the practical application of the derived theoretical results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

European Journal of Control 工程技术-自动化与控制系统

CiteScore

5.80

自引率

5.90%

发文量

131

审稿时长

1 months

期刊介绍： The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.