{"title":"用于离散线性重复系统控制设计的新的LMI公式","authors":"Jamel Dridi, Selma Ben Attia, S. Salhi, M. Ksouri","doi":"10.1109/ICEESA.2013.6578402","DOIUrl":null,"url":null,"abstract":"This paper addresses the stability analysis along the pass and the synthesis problem of linear 2D/repetitive systems (i.e. information propagation in two independent directions). A new sufficient condition for the synthesis problem in the case of MIMO is also given for both discrete repetitive linear. A necessary and sufficient condition for analysis and synthesis for discrete repetitive linear MISO systems is presented. These new results are expressed in term of LMI (linear matrix inequalities). Numerical examples are provided to illustrate the effectiveness of the proposed formulations.","PeriodicalId":212631,"journal":{"name":"2013 International Conference on Electrical Engineering and Software Applications","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"New LMI formulation for control design of discrete linear repetitive system\",\"authors\":\"Jamel Dridi, Selma Ben Attia, S. Salhi, M. Ksouri\",\"doi\":\"10.1109/ICEESA.2013.6578402\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper addresses the stability analysis along the pass and the synthesis problem of linear 2D/repetitive systems (i.e. information propagation in two independent directions). A new sufficient condition for the synthesis problem in the case of MIMO is also given for both discrete repetitive linear. A necessary and sufficient condition for analysis and synthesis for discrete repetitive linear MISO systems is presented. These new results are expressed in term of LMI (linear matrix inequalities). Numerical examples are provided to illustrate the effectiveness of the proposed formulations.\",\"PeriodicalId\":212631,\"journal\":{\"name\":\"2013 International Conference on Electrical Engineering and Software Applications\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-03-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 International Conference on Electrical Engineering and Software Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICEESA.2013.6578402\",\"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 International Conference on Electrical Engineering and Software Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEESA.2013.6578402","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New LMI formulation for control design of discrete linear repetitive system
This paper addresses the stability analysis along the pass and the synthesis problem of linear 2D/repetitive systems (i.e. information propagation in two independent directions). A new sufficient condition for the synthesis problem in the case of MIMO is also given for both discrete repetitive linear. A necessary and sufficient condition for analysis and synthesis for discrete repetitive linear MISO systems is presented. These new results are expressed in term of LMI (linear matrix inequalities). Numerical examples are provided to illustrate the effectiveness of the proposed formulations.