KMS Of Academy of mathematics and systems sciences, CAS
| Generalized observability analysis and observer design for a class of systems with multiple uncertain dynamics and measurement biases | |
| Zhang, Xiaocheng1,2; Xue, Wenchao1,2; Chen, Sen3; Fang, Haitao1,2 | |
| 2021-04-01 | |
| Source Publication | SYSTEMS & CONTROL LETTERS
 |
| ISSN | 0167-6911 |
| Volume | 150Pages:10 |
| Abstract | 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. |
| Keyword | Observability Uncertainty Biased measurement Estimation error |
| DOI | 10.1016/j.sysconle.2021.104897 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Key R&D Program of China[2018YFA0703800] ; National Nature Science Foundation of China[61633003-3] ; National Nature Science Foundation of China[62003202] |
| WOS Research Area | Automation & Control Systems ; Operations Research & Management Science |
| WOS Subject | Automation & Control Systems ; Operations Research & Management Science |
| WOS ID | WOS:000637970700008 |
| Publisher | ELSEVIER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58443 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Xue, Wenchao |
| Affiliation | 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 |
| Recommended Citation 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. |
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