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Generalized observability analysis and observer design for a class of systems with multiple uncertain dynamics and measurement biases

文献类型：期刊论文

作者Zhang, Xiaocheng1,2; Xue, Wenchao1,2; Chen, Sen3; Fang, Haitao1,2
刊名SYSTEMS & CONTROL LETTERS
出版日期2021-04-01
卷号150页码:10
关键词Observability Uncertainty Biased measurement Estimation error
ISSN号0167-6911
DOI10.1016/j.sysconle.2021.104897
英文摘要This 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.
资助项目National Key R&D Program of China[2018YFA0703800] ; National Nature Science Foundation of China[61633003-3] ; National Nature Science Foundation of China[62003202]
WOS研究方向Automation & Control Systems ; Operations Research & Management Science
语种英语
WOS记录号WOS:000637970700008
出版者ELSEVIER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/58442]  
专题中国科学院数学与系统科学研究院
通讯作者Xue, Wenchao
作者单位1.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
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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