IDENTIFICATION OF HAMMERSTEIN SYSTEMS WITH QUANTIZED OBSERVATIONS

doi:10.1137/070707877

CSpace > 系统科学研究所

	IDENTIFICATION OF HAMMERSTEIN SYSTEMS WITH QUANTIZED OBSERVATIONS
	Zhao, Yanlong1 ; Zhang, Ji-Feng1 ; Wang, Le Yi 2; Yin, G. George 3
	2010
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	48 期号:7 页码:4352-4376
摘要	This work is concerned with identification of Hammerstein systems whose outputs are measured by quantized sensors. The system consists of a memoryless nonlinearity that is polynomial and possibly noninvertible, followed by a linear subsystem. The parameters of linear and nonlinear parts are unknown but have known orders. Input design, identification algorithms, and their essential properties are presented under the assumptions that the distribution function of the noise is known and the quantization thresholds are known. The concept of strongly scaled full rank signals is introduced to capture the essential conditions under which the Hammerstein system can be identified with set-valued observations. Under strongly scaled full rank conditions, a strongly convergent algorithm is constructed. Asymptotic consistency and efficiency of the algorithm are investigated.
关键词	identification quantized observations Hammerstein systems parameter estimation quantization thresholds strongly scaled full rank signals
DOI	10.1137/070707877
语种	英语
资助项目	National Natural Science Foundation of China[6657100] ; National Natural Science Foundation of China[60821091] ; National Natural Science Foundation of China[60934006] ; Chinese Academy of Sciences ; National Laboratory of Space Intelligent Control ; National Science Foundation[ECS-0329597] ; National Science Foundation[DMS-0624849] ; National Science Foundation[DMS-0907753] ; Michigan Economic Development Council ; Air Force Office of Scientific Research[FA9550-10-1-0210]
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000281673500008
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9868
专题	系统科学研究所
通讯作者	Zhao, Yanlong
作者单位	1.Chinese Acad Sci, Key Lab Syst & Control, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Wayne State Univ, Dept Elect & Comp Engn, Detroit, MI 48202 USA 3.Wayne State Univ, Dept Math, Detroit, MI 48202 USA
推荐引用方式 GB/T 7714	Zhao, Yanlong,Zhang, Ji-Feng,Wang, Le Yi,et al. IDENTIFICATION OF HAMMERSTEIN SYSTEMS WITH QUANTIZED OBSERVATIONS[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2010,48(7):4352-4376.
APA	Zhao, Yanlong,Zhang, Ji-Feng,Wang, Le Yi,&Yin, G. George.(2010).IDENTIFICATION OF HAMMERSTEIN SYSTEMS WITH QUANTIZED OBSERVATIONS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,48(7),4352-4376.
MLA	Zhao, Yanlong,et al."IDENTIFICATION OF HAMMERSTEIN SYSTEMS WITH QUANTIZED OBSERVATIONS".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 48.7(2010):4352-4376.