{"title":"用耦合多模型表示时滞离散非线性奇摄动系统的镇定","authors":"Rakia Abdeljawad , Nesrine Bahri , Majda Ltaief","doi":"10.1016/j.egypro.2019.04.021","DOIUrl":null,"url":null,"abstract":"<div><p>This article investigates the problem of state feedback stabilisation for discrete nonlinear singularly perturbed system with time-delay which is represented by a coupled multimodel. Based on an appropriate Lyapunov function, new sufficient conditions are given as a set of Linear Matrix Inequalities (LMIs) that are used to get the gains of controllers. Numerical example is given to illustrate the effectiveness of the proposed method.</p></div>","PeriodicalId":11517,"journal":{"name":"Energy Procedia","volume":"162 ","pages":"Pages 191-200"},"PeriodicalIF":0.0000,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.egypro.2019.04.021","citationCount":"2","resultStr":"{\"title\":\"Stabilization of Discrete Nonlinear Singularly Perturbed System with Time-Delay Represented by a Coupled Multimodel\",\"authors\":\"Rakia Abdeljawad , Nesrine Bahri , Majda Ltaief\",\"doi\":\"10.1016/j.egypro.2019.04.021\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This article investigates the problem of state feedback stabilisation for discrete nonlinear singularly perturbed system with time-delay which is represented by a coupled multimodel. Based on an appropriate Lyapunov function, new sufficient conditions are given as a set of Linear Matrix Inequalities (LMIs) that are used to get the gains of controllers. Numerical example is given to illustrate the effectiveness of the proposed method.</p></div>\",\"PeriodicalId\":11517,\"journal\":{\"name\":\"Energy Procedia\",\"volume\":\"162 \",\"pages\":\"Pages 191-200\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.egypro.2019.04.021\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Energy Procedia\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1876610219313803\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Energy Procedia","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1876610219313803","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stabilization of Discrete Nonlinear Singularly Perturbed System with Time-Delay Represented by a Coupled Multimodel
This article investigates the problem of state feedback stabilisation for discrete nonlinear singularly perturbed system with time-delay which is represented by a coupled multimodel. Based on an appropriate Lyapunov function, new sufficient conditions are given as a set of Linear Matrix Inequalities (LMIs) that are used to get the gains of controllers. Numerical example is given to illustrate the effectiveness of the proposed method.
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