一类时滞系统的有限时间终端滑模控制

Guangdeng Zong, Yuqiang Wu
{"title":"一类时滞系统的有限时间终端滑模控制","authors":"Guangdeng Zong, Yuqiang Wu","doi":"10.1109/WCICA.2004.1340753","DOIUrl":null,"url":null,"abstract":"A fast terminal sliding mode controller is proposed for a class of linear systems with distributed delays in state and control variables. By properly designing a state transformation and a predictor, the given system can be changed into a time-delay free. The proposed terminal sliding manifold is given using the recursive mechanism. It is shown that by suitably choosing the parameters of the fast terminal sliding modes, system state variables would reach the fast terminal sliding manifold within a desired finite time and stay there forever, resulting in the convergence to equilibrium in a finite time. The global stability of the closed-loop system is guaranteed and the singularity problem usually existed in the terminal sliding mode control is avoided. Although the proposed control strategy is sliding mode based, the control signal is continuous except at a single discontinuous point. Chattering phenomenon commonly associated with sliding mode control does not occur.","PeriodicalId":331407,"journal":{"name":"Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788)","volume":"51 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Finite time terminal sliding mode control for a class of time delay systems\",\"authors\":\"Guangdeng Zong, Yuqiang Wu\",\"doi\":\"10.1109/WCICA.2004.1340753\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A fast terminal sliding mode controller is proposed for a class of linear systems with distributed delays in state and control variables. By properly designing a state transformation and a predictor, the given system can be changed into a time-delay free. The proposed terminal sliding manifold is given using the recursive mechanism. It is shown that by suitably choosing the parameters of the fast terminal sliding modes, system state variables would reach the fast terminal sliding manifold within a desired finite time and stay there forever, resulting in the convergence to equilibrium in a finite time. The global stability of the closed-loop system is guaranteed and the singularity problem usually existed in the terminal sliding mode control is avoided. Although the proposed control strategy is sliding mode based, the control signal is continuous except at a single discontinuous point. Chattering phenomenon commonly associated with sliding mode control does not occur.\",\"PeriodicalId\":331407,\"journal\":{\"name\":\"Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788)\",\"volume\":\"51 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-06-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/WCICA.2004.1340753\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WCICA.2004.1340753","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1

摘要

针对一类状态和控制变量具有分布时滞的线性系统,提出了一种快速终端滑模控制器。通过适当地设计状态转换和预测器,可以将给定系统变为无时延系统。利用递归机制给出了所提出的终端滑动流形。结果表明,通过适当选择快速末端滑动模态的参数,系统状态变量可以在有限时间内到达快速末端滑动流形并永远停留在那里,从而使系统在有限时间内收敛到平衡态。保证了闭环系统的全局稳定性,避免了末端滑模控制中存在的奇异性问题。虽然所提出的控制策略是基于滑模的,但控制信号除了在单个不连续点外是连续的。通常与滑模控制相关的抖振现象不会发生。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Finite time terminal sliding mode control for a class of time delay systems
A fast terminal sliding mode controller is proposed for a class of linear systems with distributed delays in state and control variables. By properly designing a state transformation and a predictor, the given system can be changed into a time-delay free. The proposed terminal sliding manifold is given using the recursive mechanism. It is shown that by suitably choosing the parameters of the fast terminal sliding modes, system state variables would reach the fast terminal sliding manifold within a desired finite time and stay there forever, resulting in the convergence to equilibrium in a finite time. The global stability of the closed-loop system is guaranteed and the singularity problem usually existed in the terminal sliding mode control is avoided. Although the proposed control strategy is sliding mode based, the control signal is continuous except at a single discontinuous point. Chattering phenomenon commonly associated with sliding mode control does not occur.
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
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信