Hugo Jamet , Ahlem Sassi , Damien Ébérard , Michaël Di Loreto
{"title":"Existence and design of a functional observer for LTI systems with known bounded input","authors":"Hugo Jamet , Ahlem Sassi , Damien Ébérard , Michaël Di Loreto","doi":"10.1016/j.ifacol.2025.09.576","DOIUrl":null,"url":null,"abstract":"<div><div>In the present contribution, we address the existence and the design of a functional observer, for known bounded inputs and linear systems. Based on a characterization by means of invariants zeros given in the literature, the existence of a functional observer is revisited by means of observability matrix, as well as through a generalized Sylvester equation. The latter is then used to design a reduced functional observer, provided that the input signal is known and bounded.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"59 12","pages":"Pages 109-114"},"PeriodicalIF":0.0000,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IFAC-PapersOnLine","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2405896325013527","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
In the present contribution, we address the existence and the design of a functional observer, for known bounded inputs and linear systems. Based on a characterization by means of invariants zeros given in the literature, the existence of a functional observer is revisited by means of observability matrix, as well as through a generalized Sylvester equation. The latter is then used to design a reduced functional observer, provided that the input signal is known and bounded.
期刊介绍:
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