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

doi:10.1016/j.sysconle.2021.104897

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	Generalized observability analysis and observer design for a class of systems with multiple uncertain dynamics and measurement biases
	Zhang, Xiaocheng 1,2; Xue, Wenchao 1,2; Chen, Sen 3; Fang, Haitao 1,2
	2021-04-01
发表期刊	SYSTEMS & CONTROL LETTERS
ISSN	0167-6911
卷号	150 页码:10
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.
关键词	Observability Uncertainty Biased measurement Estimation error
DOI	10.1016/j.sysconle.2021.104897
收录类别	SCI
语种	英语
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
WOS类目	Automation & Control Systems ; Operations Research & Management Science
WOS记录号	WOS:000637970700008
出版者	ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58443
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.