基于SOS的2型多项式离散模糊系统切换控制

2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD) Pub Date : 2013-07-23 DOI:10.1109/FSKD.2013.6816176

Tiechao Wang, J. Yi, Ding Wang

{"title":"基于SOS的2型多项式离散模糊系统切换控制","authors":"Tiechao Wang, J. Yi, Ding Wang","doi":"10.1109/FSKD.2013.6816176","DOIUrl":null,"url":null,"abstract":"This paper presents a switched stabilization method of discrete interval type-2 fuzzy systems via sum-of-squares (SOS). Based on polynomial Lyapunov functions, we derive stabilization conditions to design stable polynomial interval type-2 fuzzy switched controllers. The stabilization conditions are represented in terms of SOS, and the controllers are numerically (partially symbolically) solved via the recent developed SOSTOOLS. In addition, polynomial discrete fuzzy systems and controllers are the generalization of discrete Takagi-Sugeno (T-S) fuzzy systems and controllers. A numerical simulation example is provided to illustrate the validity of the control method.","PeriodicalId":368964,"journal":{"name":"2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Switched control of type-2 polynomial discrete fuzzy systems based on SOS\",\"authors\":\"Tiechao Wang, J. Yi, Ding Wang\",\"doi\":\"10.1109/FSKD.2013.6816176\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents a switched stabilization method of discrete interval type-2 fuzzy systems via sum-of-squares (SOS). Based on polynomial Lyapunov functions, we derive stabilization conditions to design stable polynomial interval type-2 fuzzy switched controllers. The stabilization conditions are represented in terms of SOS, and the controllers are numerically (partially symbolically) solved via the recent developed SOSTOOLS. In addition, polynomial discrete fuzzy systems and controllers are the generalization of discrete Takagi-Sugeno (T-S) fuzzy systems and controllers. A numerical simulation example is provided to illustrate the validity of the control method.\",\"PeriodicalId\":368964,\"journal\":{\"name\":\"2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)\",\"volume\":\"37 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-07-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FSKD.2013.6816176\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FSKD.2013.6816176","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

本文提出了一种基于平方和的离散区间2型模糊系统的切换镇定方法。基于多项式Lyapunov函数，给出了稳定多项式区间型2模糊切换控制器的镇定条件。稳定条件用SOS表示，控制器通过最近开发的SOSTOOLS进行数值(部分符号)求解。此外，多项式离散模糊系统和控制器是离散Takagi-Sugeno (T-S)模糊系统和控制器的推广。通过数值仿真实例说明了该控制方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Switched control of type-2 polynomial discrete fuzzy systems based on SOS

This paper presents a switched stabilization method of discrete interval type-2 fuzzy systems via sum-of-squares (SOS). Based on polynomial Lyapunov functions, we derive stabilization conditions to design stable polynomial interval type-2 fuzzy switched controllers. The stabilization conditions are represented in terms of SOS, and the controllers are numerically (partially symbolically) solved via the recent developed SOSTOOLS. In addition, polynomial discrete fuzzy systems and controllers are the generalization of discrete Takagi-Sugeno (T-S) fuzzy systems and controllers. A numerical simulation example is provided to illustrate the validity of the control method.

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

2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)

自引率

0.00%

发文量