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Observers and observability for uncertain nonlinear systems: A necessary and sufficient condition
Bai, Wenyan1; Chen, Sen2,3; Huang, Yi2,3; Guo, Bao-Zhu2,3,4; Wu, Ze-Hao4
2019-07-10
Source PublicationINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
ISSN1049-8923
Volume29Issue:10Pages:2960-2977
AbstractIn 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.
Keywordconvergence of the observer extended state observer observers uncertain nonlinear systems
DOI10.1002/rnc.4531
Language英语
Funding ProjectNational 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 Research AreaAutomation & Control Systems ; Engineering ; Mathematics
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS IDWOS:000470837300012
PublisherWILEY
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34999
Collection系统科学研究所
Corresponding AuthorWu, Ze-Hao
Affiliation1.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
Recommended Citation
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.
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