{"title":"有限时间随机有界网络控制系统的输入延迟分析与H∞控制","authors":"Gaofeng Peng, Hu Dong, Jin Yuan Zhao, Yang Leng","doi":"10.1155/cplx/7635015","DOIUrl":null,"url":null,"abstract":"<p>This paper investigates the input delay analysis and <i>H</i><sub><i>∞</i></sub> control problem for networked control systems with finite-time stochastic boundedness (FTSB). First, a novel control scheme is used to handle the Markovian jump parameters, and an event-triggered rule is introduced to a networked control system with FTSB, which can ensure the control performance of the system and effectively improve the resource utilization of the networked control system. Simultaneously, a more accurate expression for input delay compared to traditional methods is obtained. Then, the sufficient condition for the networked control system to have FTSB is derived. Additionally, an <i>H</i><sub><i>∞</i></sub> state feedback controller for the stochastic networked control system with FTSB performance is obtained. Finally, an illustrative example is provided to verify the effectiveness of the method proposed in this paper, especially the good control effect of the <i>H</i><sub><i>∞</i></sub> state feedback controller.</p>","PeriodicalId":50653,"journal":{"name":"Complexity","volume":"2025 1","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/cplx/7635015","citationCount":"0","resultStr":"{\"title\":\"Input Delay Analysis and H∞ Control for Networked Control Systems With Finite-Time Stochastic Boundedness\",\"authors\":\"Gaofeng Peng, Hu Dong, Jin Yuan Zhao, Yang Leng\",\"doi\":\"10.1155/cplx/7635015\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This paper investigates the input delay analysis and <i>H</i><sub><i>∞</i></sub> control problem for networked control systems with finite-time stochastic boundedness (FTSB). First, a novel control scheme is used to handle the Markovian jump parameters, and an event-triggered rule is introduced to a networked control system with FTSB, which can ensure the control performance of the system and effectively improve the resource utilization of the networked control system. Simultaneously, a more accurate expression for input delay compared to traditional methods is obtained. Then, the sufficient condition for the networked control system to have FTSB is derived. Additionally, an <i>H</i><sub><i>∞</i></sub> state feedback controller for the stochastic networked control system with FTSB performance is obtained. Finally, an illustrative example is provided to verify the effectiveness of the method proposed in this paper, especially the good control effect of the <i>H</i><sub><i>∞</i></sub> state feedback controller.</p>\",\"PeriodicalId\":50653,\"journal\":{\"name\":\"Complexity\",\"volume\":\"2025 1\",\"pages\":\"\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2025-09-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1155/cplx/7635015\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complexity\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1155/cplx/7635015\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complexity","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1155/cplx/7635015","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
Input Delay Analysis and H∞ Control for Networked Control Systems With Finite-Time Stochastic Boundedness
This paper investigates the input delay analysis and H∞ control problem for networked control systems with finite-time stochastic boundedness (FTSB). First, a novel control scheme is used to handle the Markovian jump parameters, and an event-triggered rule is introduced to a networked control system with FTSB, which can ensure the control performance of the system and effectively improve the resource utilization of the networked control system. Simultaneously, a more accurate expression for input delay compared to traditional methods is obtained. Then, the sufficient condition for the networked control system to have FTSB is derived. Additionally, an H∞ state feedback controller for the stochastic networked control system with FTSB performance is obtained. Finally, an illustrative example is provided to verify the effectiveness of the method proposed in this paper, especially the good control effect of the H∞ state feedback controller.
期刊介绍:
Complexity is a cross-disciplinary journal focusing on the rapidly expanding science of complex adaptive systems. The purpose of the journal is to advance the science of complexity. Articles may deal with such methodological themes as chaos, genetic algorithms, cellular automata, neural networks, and evolutionary game theory. Papers treating applications in any area of natural science or human endeavor are welcome, and especially encouraged are papers integrating conceptual themes and applications that cross traditional disciplinary boundaries. Complexity is not meant to serve as a forum for speculation and vague analogies between words like “chaos,” “self-organization,” and “emergence” that are often used in completely different ways in science and in daily life.