Asynchronously Switched Control With Variable Convergence Rate for Switched Nonlinear Systems: A Persistent Dwell-Time Scheme

IF 11.9 1区计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

IEEE Transactions on Fuzzy Systems Pub Date : 2024-09-12 DOI:10.1109/TFUZZ.2024.3459860

Han Geng;Huasheng Zhang;Shun-Feng Su

{"title":"Asynchronously Switched Control With Variable Convergence Rate for Switched Nonlinear Systems: A Persistent Dwell-Time Scheme","authors":"Han Geng;Huasheng Zhang;Shun-Feng Su","doi":"10.1109/TFUZZ.2024.3459860","DOIUrl":null,"url":null,"abstract":"This article explores the \n<inline-formula><tex-math>$H_{\\infty }$</tex-math></inline-formula>\n control problem based on convergence rate constraints for switched nonlinear systems under two types of asynchronous switching. First, this study investigates the variable convergence rate control issue for switched nonlinear systems. Combining the generalized pole placement idea and the Takagi–Sugeno fuzzy technique, a novel \n<inline-formula><tex-math>$H_{\\infty }$</tex-math></inline-formula>\n control criterion is proposed, specifically focusing on convergence rate constraints. In addition, employing the persistent dwell-time switching to model two asynchronous scenarios in switched systems: time-delayed switching and mismatched switching, where the maximum asynchronous delay is permitted to exceed the subsystems dwell time. According to this new criterion, a novel \n<inline-formula><tex-math>$H_{\\infty }$</tex-math></inline-formula>\n fuzzy controller is designed for switched nonlinear systems with asynchronous characteristics. It cannot only guarantee the asymptotic stability of the target closed-loop system but also precisely adjust the convergence rate of the system states, while also having certain anti-interference ability. Finally, numerical simulation and the tunnel diode circuit system control example prove the effectiveness of the method provided in this article.","PeriodicalId":13212,"journal":{"name":"IEEE Transactions on Fuzzy Systems","volume":"32 12","pages":"6695-6707"},"PeriodicalIF":11.9000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Fuzzy Systems","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10679600/","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE","Score":null,"Total":0}

引用次数: 0

Abstract

This article explores the

$H_{\infty }$

control problem based on convergence rate constraints for switched nonlinear systems under two types of asynchronous switching. First, this study investigates the variable convergence rate control issue for switched nonlinear systems. Combining the generalized pole placement idea and the Takagi–Sugeno fuzzy technique, a novel

$H_{\infty }$

control criterion is proposed, specifically focusing on convergence rate constraints. In addition, employing the persistent dwell-time switching to model two asynchronous scenarios in switched systems: time-delayed switching and mismatched switching, where the maximum asynchronous delay is permitted to exceed the subsystems dwell time. According to this new criterion, a novel

$H_{\infty }$

fuzzy controller is designed for switched nonlinear systems with asynchronous characteristics. It cannot only guarantee the asymptotic stability of the target closed-loop system but also precisely adjust the convergence rate of the system states, while also having certain anti-interference ability. Finally, numerical simulation and the tunnel diode circuit system control example prove the effectiveness of the method provided in this article.

查看原文本刊更多论文

针对切换式非线性系统的收敛速率可变的异步切换控制：持久停留时间方案

研究了两种类型的异步切换非线性切换系统在收敛速率约束下的$H_{\infty }$控制问题。首先，本文研究了切换非线性系统的变收敛速率控制问题。结合广义极点放置思想和Takagi-Sugeno模糊技术，提出了一种新颖的$H_{\infty }$控制准则，特别关注收敛速度约束。此外，采用持久驻留时间切换对切换系统中的两种异步场景进行建模：延时切换和不匹配切换，其中允许最大异步延迟超过子系统驻留时间。根据这一新准则，针对具有异步特性的切换非线性系统设计了一种新型$H_{\infty }$模糊控制器。它既能保证目标闭环系统的渐近稳定，又能精确调节系统状态的收敛速度，同时还具有一定的抗干扰能力。最后，通过数值仿真和隧道二极管电路系统控制实例验证了本文方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

IEEE Transactions on Fuzzy Systems 工程技术-工程：电子与电气

CiteScore

20.50

自引率

13.40%

发文量

517

审稿时长

3.0 months

期刊介绍： The IEEE Transactions on Fuzzy Systems is a scholarly journal that focuses on the theory, design, and application of fuzzy systems. It aims to publish high-quality technical papers that contribute significant technical knowledge and exploratory developments in the field of fuzzy systems. The journal particularly emphasizes engineering systems and scientific applications. In addition to research articles, the Transactions also includes a letters section featuring current information, comments, and rebuttals related to published papers.