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

doi:10.1002/rnc.4531

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	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
	2019-07-10
发表期刊	INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
ISSN	1049-8923
卷号	29 期号:10 页码:2960-2977
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.
关键词	convergence of the observer extended state observer observers uncertain nonlinear systems
DOI	10.1002/rnc.4531
语种	英语
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
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS记录号	WOS:000470837300012
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34999
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.