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State Observability and Observers of Linear-Time-Invariant Systems Under Irregular Sampling and Sensor Limitations
Wang, Le Yi1; Li, Chanying2; Yin, G. George3; Guo, Lei4; Xu, Cheng-Zhong1
2011-11-01
Source PublicationIEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN0018-9286
Volume56Issue:11Pages:2639-2654
AbstractState observability and observer designs are investigated for linear-time-invariant systems in continuous time when the outputs are measured only at a set of irregular sampling time sequences. The problem is primarily motivated by systems with limited sensor information in which sensor switching generates irregular sampling sequences. State observability may be lost and the traditional observers may fail in general, even if the system has a full-rank observability matrix. It demonstrates that if the original system is observable, the irregularly sampled system will be observable if the sampling density is higher than some critical frequency, independent of the actual time sequences. This result extends Shannon's sampling theorem for signal reconstruction under periodic sampling to system observability under arbitrary sampling sequences. State observers and recursive algorithms are developed whose convergence properties are derived under potentially dependent measurement noises. Persistent excitation conditions are validated by designing sampling time sequences. By generating suitable switching time sequences, the designed state observers are shown to be convergent in mean square, with probability one, and with exponential convergence rates. Schemes for generating desired sampling sequences are summarized.
KeywordIrregular sampling mean square convergence observability persistent excitation quantized sensors state observers strong convergence
DOI10.1109/TAC.2011.2122570
Language英语
Funding ProjectNational Science Foundation[DMS-0624849] ; National Science Foundation[DMS-0907753] ; National Science Foundation[CNS-0702488] ; National Science Foundation[CRI-0708232] ; National Science Foundation[CNS-0914330] ; National Science Foundation[CCF-1016966] ; Air Force Office of Scientific Research[FA9550-10-1-0210]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000296477000011
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation statistics
Cited Times:39[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/12746
Collection国家数学与交叉科学中心
Affiliation1.Wayne State Univ, Dept Elect & Comp Engn, Detroit, MI 48202 USA
2.Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
3.Wayne State Univ, Dept Math, Detroit, MI 48202 USA
4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Wang, Le Yi,Li, Chanying,Yin, G. George,et al. State Observability and Observers of Linear-Time-Invariant Systems Under Irregular Sampling and Sensor Limitations[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2011,56(11):2639-2654.
APA Wang, Le Yi,Li, Chanying,Yin, G. George,Guo, Lei,&Xu, Cheng-Zhong.(2011).State Observability and Observers of Linear-Time-Invariant Systems Under Irregular Sampling and Sensor Limitations.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,56(11),2639-2654.
MLA Wang, Le Yi,et al."State Observability and Observers of Linear-Time-Invariant Systems Under Irregular Sampling and Sensor Limitations".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 56.11(2011):2639-2654.
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