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

	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
刊名	SYSTEMS & CONTROL LETTERS
	2021-04-01
卷号	150 页码:10
关键词	Observability Uncertainty Biased measurement Estimation error
ISSN号	0167-6911
DOI	10.1016/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
出版者	ELSEVIER
WOS记录号	WOS:000637970700008
内容类型	期刊论文
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.