State Observability and Observers of Linear-Time-Invariant Systems Under Irregular Sampling and Sensor Limitations

doi:10.1109/TAC.2011.2122570

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	State Observability and Observers of Linear-Time-Invariant Systems Under Irregular Sampling and Sensor Limitations
	Wang, Le Yi 1; Li, Chanying 2; Yin, G. George 3; Guo, Lei4 ; Xu, Cheng-Zhong 1
	2011-11-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	56 期号:11 页码:2639-2654
摘要	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.
关键词	Irregular sampling mean square convergence observability persistent excitation quantized sensors state observers strong convergence
DOI	10.1109/TAC.2011.2122570
语种	英语
资助项目	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研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000296477000011
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12746
专题	国家数学与交叉科学中心
通讯作者	Wang, Le Yi
作者单位	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
推荐引用方式 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.