Observers and observability for uncertain nonlinear systems: A necessary and sufficient condition

doi:10.1002/rnc.4531

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 系统科学研究所

	Observers and observability for uncertain nonlinear systems: A necessary and sufficient condition
	Bai, Wenyan 1; Chen, Sen 2,3; Huang, Yi2,3 ; Guo, Bao-Zhu2,3,4 ; Wu, Ze-Hao 4
刊名	INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
	2019-07-10
卷号	29 期号:10 页码:2960-2977
关键词	convergence of the observer extended state observer observers uncertain nonlinear systems
ISSN号	1049-8923
DOI	10.1002/rnc.4531
英文摘要	In this paper, observers and observability for uncertain nonlinear systems are systematically discussed. It is shown that for the convergence of a large class of observers, featured with the augment state to estimate the uncertainty, it requires not only the observability condition for the augment matrix pair but, more importantly, requires a structural condition first proposed in this paper. Furthermore, it is demonstrated that the combination of this structural condition and the observability of the augment matrix pair is a necessary and sufficient condition for the convergence of the observers and the observability of the original uncertain nonlinear systems. This implies that both the structural condition and the observability condition of the augment matrix pair reveal essential feature of the observing problems for uncertain nonlinear systems. In addition, for unobservable uncertain nonlinear systems, which do not satisfy this necessary and sufficient condition, the biased estimation error is explicitly presented, which can be used to evaluate the estimation performance of this class of observers. The numerical simulations for three typical examples are carried out to validate our theoretical analysis.
资助项目	National Natural Science Foundation of China[61603365] ; National Natural Science Foundation of China[61873260] ; National Natural Science Foundation of China[11801077] ; Natural Science Foundation of Guangdong Province[2018A030310357] ; Project of Department of Education of Guangdong Province[2017KTSCX191] ; Project of Department of Education of Guangdong Province[2017KZDXM087]
WOS研究方向	Automation & Control Systems ; Engineering ; Mathematics
语种	英语
出版者	WILEY
WOS记录号	WOS:000470837300012
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34998]
专题	系统科学研究所
通讯作者	Wu, Ze-Hao
作者单位	1.Beijing Aerosp Automat Control Inst, Beijing, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 4.Foshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China
推荐引用方式 GB/T 7714	Bai, Wenyan,Chen, Sen,Huang, Yi,et al. Observers and observability for uncertain nonlinear systems: A necessary and sufficient condition[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2019,29(10):2960-2977.
APA	Bai, Wenyan,Chen, Sen,Huang, Yi,Guo, Bao-Zhu,&Wu, Ze-Hao.(2019).Observers and observability for uncertain nonlinear systems: A necessary and sufficient condition.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,29(10),2960-2977.
MLA	Bai, Wenyan,et al."Observers and observability for uncertain nonlinear systems: A necessary and sufficient condition".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 29.10(2019):2960-2977.