{"title":"H∞ control for fuzzy sampled-data systems with discrete and distributed delays","authors":"T. Ishihara, J. Yoneyama","doi":"10.1109/FUZZY.2010.5584565","DOIUrl":null,"url":null,"abstract":"This paper discusses an H∞ sampled-data control design for fuzzy systems with discrete and distributed delays. The size of discrete delay and distributed delay is assumed to be not always the same. The zero-order control input can be represented as a delayed input. Then, the closed-loop system with such an input becomes a system with time-varying delay. Sufficient conditions for the closed-loop system to be stable with satisfying a prescribed H∞ performance index are given in terms of linear matrix inequalities (LMIs). Based on such conditions, we propose a robust H∞ sampled-data control design for an uncertain fuzzy system with discrete and distributed delays. Finally, we extend the result to a robust H∞ sampled-data control design for uncertain fuzzy systems with discrete and distributed delays.","PeriodicalId":377799,"journal":{"name":"International Conference on Fuzzy Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Conference on Fuzzy Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FUZZY.2010.5584565","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
This paper discusses an H∞ sampled-data control design for fuzzy systems with discrete and distributed delays. The size of discrete delay and distributed delay is assumed to be not always the same. The zero-order control input can be represented as a delayed input. Then, the closed-loop system with such an input becomes a system with time-varying delay. Sufficient conditions for the closed-loop system to be stable with satisfying a prescribed H∞ performance index are given in terms of linear matrix inequalities (LMIs). Based on such conditions, we propose a robust H∞ sampled-data control design for an uncertain fuzzy system with discrete and distributed delays. Finally, we extend the result to a robust H∞ sampled-data control design for uncertain fuzzy systems with discrete and distributed delays.