{"title":"具有时滞的正Takagi-Sugeno模糊连续系统的稳定性与镇定","authors":"Rkia Oubah, A. Benzaouia","doi":"10.1109/ICOSC.2016.7507030","DOIUrl":null,"url":null,"abstract":"This paper deals with the problem of stability and stabilization of Takagi-Sugeno (T-S) fuzzy systems with a fixed delay by linear programming (LP) while imposing positivity in closed-loop. The sufficient conditions of stabilization are derived using the single Lyapunov-Krasovskii Functional (LKF). An example of a real plant is studied, and the comparison between LMI and LP approach is presented to show the advantages of the design procedure.","PeriodicalId":149249,"journal":{"name":"2016 5th International Conference on Systems and Control (ICSC)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Stability and stabilization of positive Takagi-Sugeno fuzzy continuous systems with delay by linear programming\",\"authors\":\"Rkia Oubah, A. Benzaouia\",\"doi\":\"10.1109/ICOSC.2016.7507030\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with the problem of stability and stabilization of Takagi-Sugeno (T-S) fuzzy systems with a fixed delay by linear programming (LP) while imposing positivity in closed-loop. The sufficient conditions of stabilization are derived using the single Lyapunov-Krasovskii Functional (LKF). An example of a real plant is studied, and the comparison between LMI and LP approach is presented to show the advantages of the design procedure.\",\"PeriodicalId\":149249,\"journal\":{\"name\":\"2016 5th International Conference on Systems and Control (ICSC)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-05-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 5th International Conference on Systems and Control (ICSC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICOSC.2016.7507030\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 5th International Conference on Systems and Control (ICSC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICOSC.2016.7507030","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability and stabilization of positive Takagi-Sugeno fuzzy continuous systems with delay by linear programming
This paper deals with the problem of stability and stabilization of Takagi-Sugeno (T-S) fuzzy systems with a fixed delay by linear programming (LP) while imposing positivity in closed-loop. The sufficient conditions of stabilization are derived using the single Lyapunov-Krasovskii Functional (LKF). An example of a real plant is studied, and the comparison between LMI and LP approach is presented to show the advantages of the design procedure.