KMS Of Academy of mathematics and systems sciences, CAS
| 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
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| 2011-11-01 | |
| Source Publication | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
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| ISSN | 0018-9286 |
| Volume | 56Issue:11Pages:2639-2654 |
| Abstract | State 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. |
| Keyword | Irregular sampling mean square convergence observability persistent excitation quantized sensors state observers strong convergence |
| DOI | 10.1109/TAC.2011.2122570 |
| Language | 英语 |
| Funding Project | National 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 Area | Automation & Control Systems ; Engineering |
| WOS Subject | Automation & Control Systems ; Engineering, Electrical & Electronic |
| WOS ID | WOS:000296477000011 |
| Publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/12746 |
| Collection | 国家数学与交叉科学中心 |
| Corresponding Author | Wang, Le Yi |
| Affiliation | 1.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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