Identification of Wiener systems with binary-valued. output observations

doi:10.1016/j.automatica.2007.03.006

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	Identification of Wiener systems with binary-valued. output observations
	Zhao, Yanlong; Wang, Le Yi ; Yin, G. George ; Zhang, Ji-Feng
	2007-10-01
发表期刊	AUTOMATICA
ISSN	0005-1098
卷号	43 期号:10 页码:1752-1765
摘要	This work is concerned with identification of Wiener systems whose outputs are measured by binary-valued sensors. The system consists of a linear FIR (finite impulse response) subsystem of known order, followed by a nonlinear function with a known parametrization structure. The parameters of both linear and nonlinear parts are unknown. Input design, identification algorithms, and their essential properties are presented under the assumptions that the distribution function of the noise is known and the nonlinearity is continuous and invertible. It is shown that under scaled periodic inputs, identification of Wiener systems can be decomposed into a finite number of core identification problems. The concept of joint identifiability of the core problem is introduced to capture the essential conditions under which the Wiener system can be identified with binary-valued observations. Under scaled full-rank conditions and joint identifiability, a strongly convergent algorithm is constructed. The algorithm is shown to be asymptotically efficient for the core identification problem, hence achieving asymptotic optimality in its convergence rate. For computational simplicity, recursive algorithms are also developed. (c) 2007 Elsevier Ltd. All rights reserved.
关键词	identification binary-valued observations Wiener systems parameter estimation sensor thresholds periodic inputs joint identifiability
DOI	10.1016/j.automatica.2007.03.006
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000250270300007
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5174
专题	系统科学研究所
通讯作者	Wang, Le Yi
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, 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,Wang, Le Yi,Yin, G. George,et al. Identification of Wiener systems with binary-valued. output observations[J]. AUTOMATICA,2007,43(10):1752-1765.
APA	Zhao, Yanlong,Wang, Le Yi,Yin, G. George,&Zhang, Ji-Feng.(2007).Identification of Wiener systems with binary-valued. output observations.AUTOMATICA,43(10),1752-1765.
MLA	Zhao, Yanlong,et al."Identification of Wiener systems with binary-valued. output observations".AUTOMATICA 43.10(2007):1752-1765.