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Generalized observability analysis and observer design for a class of systems with multiple uncertain dynamics and measurement biases
Zhang, Xiaocheng1,2; Xue, Wenchao1,2; Chen, Sen3; Fang, Haitao1,2
2021-04-01
Source PublicationSYSTEMS & CONTROL LETTERS
ISSN0167-6911
Volume150Pages:10
AbstractThis paper is concerned with a systematic discussion on the problem of state estimation for a class of systems with multiple uncertain dynamics and multiple measurement biases. Instead of the traditional observability definition only for system state vector, we consider the generalized observability for the combinations of system state vector, uncertain dynamics and measurement bias. Firstly, a necessary and sufficient condition for the observability of system state vector is developed. Moreover, the set of all the observable combinations of system state vector, uncertain dynamics and measurement bias is presented. Correspondingly, an observer is constructed for estimating a special observable combination which is an approximation of system state vector. More importantly, the bound of the resulting estimation error for the system state vector is quantitatively discussed. Finally, the simulation study on a two-mass-spring system illustrates our theoretical results. (C) 2021 Elsevier B.V. All rights reserved.
KeywordObservability Uncertainty Biased measurement Estimation error
DOI10.1016/j.sysconle.2021.104897
Indexed BySCI
Language英语
Funding ProjectNational Key R&D Program of China[2018YFA0703800] ; National Nature Science Foundation of China[61633003-3] ; National Nature Science Foundation of China[62003202]
WOS Research AreaAutomation & Control Systems ; Operations Research & Management Science
WOS SubjectAutomation & Control Systems ; Operations Research & Management Science
WOS IDWOS:000637970700008
PublisherELSEVIER
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/58443
Collection中国科学院数学与系统科学研究院
Corresponding AuthorXue, Wenchao
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, LSC, NCMIS, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Xiaocheng,Xue, Wenchao,Chen, Sen,et al. Generalized observability analysis and observer design for a class of systems with multiple uncertain dynamics and measurement biases[J]. SYSTEMS & CONTROL LETTERS,2021,150:10.
APA Zhang, Xiaocheng,Xue, Wenchao,Chen, Sen,&Fang, Haitao.(2021).Generalized observability analysis and observer design for a class of systems with multiple uncertain dynamics and measurement biases.SYSTEMS & CONTROL LETTERS,150,10.
MLA Zhang, Xiaocheng,et al."Generalized observability analysis and observer design for a class of systems with multiple uncertain dynamics and measurement biases".SYSTEMS & CONTROL LETTERS 150(2021):10.
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