{"title":"左可逆性问题的离散时间范式","authors":"M. Djemai, J. Barbot, I. Belmouhoub","doi":"10.3166/ejc.15.194204","DOIUrl":null,"url":null,"abstract":"This paper deals with the design of quadratic and higher order normal forms for the left invertibility problem. The linearly observable case and one-dimensional linearly unobservable case are investigated. The interest of such a study in the design of a delayed discrete-time observer is examined. The example of the Burgers map with unknown input is treated and a delayed discrete-time observer is designed. Finally, some simulated results are commented.","PeriodicalId":11813,"journal":{"name":"Eur. J. Control","volume":"50 1","pages":"194-204"},"PeriodicalIF":0.0000,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"19","resultStr":"{\"title\":\"Discrete-time Normal Form for Left Invertibility Problem\",\"authors\":\"M. Djemai, J. Barbot, I. Belmouhoub\",\"doi\":\"10.3166/ejc.15.194204\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with the design of quadratic and higher order normal forms for the left invertibility problem. The linearly observable case and one-dimensional linearly unobservable case are investigated. The interest of such a study in the design of a delayed discrete-time observer is examined. The example of the Burgers map with unknown input is treated and a delayed discrete-time observer is designed. Finally, some simulated results are commented.\",\"PeriodicalId\":11813,\"journal\":{\"name\":\"Eur. J. Control\",\"volume\":\"50 1\",\"pages\":\"194-204\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"19\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Eur. J. Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3166/ejc.15.194204\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Eur. J. Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3166/ejc.15.194204","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Discrete-time Normal Form for Left Invertibility Problem
This paper deals with the design of quadratic and higher order normal forms for the left invertibility problem. The linearly observable case and one-dimensional linearly unobservable case are investigated. The interest of such a study in the design of a delayed discrete-time observer is examined. The example of the Burgers map with unknown input is treated and a delayed discrete-time observer is designed. Finally, some simulated results are commented.