Redundancy approach for fuzzy Lyapunov stabilization of Takagi-Sugeno descriptors

T. Bouarar, K. Guelton, N. Manamanni
{"title":"Redundancy approach for fuzzy Lyapunov stabilization of Takagi-Sugeno descriptors","authors":"T. Bouarar, K. Guelton, N. Manamanni","doi":"10.1109/CICA.2009.4982779","DOIUrl":null,"url":null,"abstract":"This paper presents new stability conditions for Takagi-Sugeno (T-S) descriptors. Thanks to the descriptor redundancy, LMI based controller design of less conservatism are derived. These conditions are obtained using a fuzzy Non Quadratic Lyapunov function (NQLF) approach with a non-Parallel-Distributed-Compensation (Non-PDC) control law. First, stabilization without constraints is considered for the sake of genericity. Then, H∞ based controller design is proposed in order to deal with the stability of closed loop descriptors subject to external disturbances. Finally, a numerical example is proposed to illustrate the efficiency of the proposed approaches.","PeriodicalId":383751,"journal":{"name":"2009 IEEE Symposium on Computational Intelligence in Control and Automation","volume":"65 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 IEEE Symposium on Computational Intelligence in Control and Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CICA.2009.4982779","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3

Abstract

This paper presents new stability conditions for Takagi-Sugeno (T-S) descriptors. Thanks to the descriptor redundancy, LMI based controller design of less conservatism are derived. These conditions are obtained using a fuzzy Non Quadratic Lyapunov function (NQLF) approach with a non-Parallel-Distributed-Compensation (Non-PDC) control law. First, stabilization without constraints is considered for the sake of genericity. Then, H∞ based controller design is proposed in order to deal with the stability of closed loop descriptors subject to external disturbances. Finally, a numerical example is proposed to illustrate the efficiency of the proposed approaches.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Takagi-Sugeno描述子模糊Lyapunov镇定的冗余方法
本文提出了Takagi-Sugeno (T-S)描述子的新的稳定性条件。利用描述符的冗余性,导出了一种保守性较低的基于LMI的控制器设计。利用模糊非二次李雅普诺夫函数(NQLF)方法和非并行分布补偿(Non- pdc)控制律得到了这些条件。首先,考虑无约束的稳定是为了通用性。然后,提出了基于H∞的控制器设计,以解决闭环描述符在外部干扰下的稳定性问题。最后,通过数值算例说明了所提方法的有效性。
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 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Design of online soft sensors based on combined adaptive PCA and RBF neural networks Effect of weighting parameters on dynamical behavior of Hopfield neural networks with logistic map activation functions Probabilistic planning integrated in a multi-level dependability concept for mechatronic systems Modeling and control of a nonholonomic Wheeled Mobile Robot with wheel slip dynamics Training set generation using fuzzy logic and dynamic chromosome based Genetic Algorithms for plant identifiers
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1