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	Revisiting the Two-Stage Algorithm for Hammerstein system identification
	Wang, Jiandong ; Zhang, Qinghua ; Ljung, Lennart
	2009
关键词	NONLINEAR-SYSTEMS MODELS
英文摘要	The Two-Stage Algorithm (TSA) has been extensively used and adapted for the identification of block-oriented nonlinear systems including Hammerstein systems. This paper revisits an optimality result established by Bai in 1998 showing that the TSA provides the optimal estimation of a bilinearly parameterized Hammerstein system in the sense of a weighted nonlinear least-squares (LS) criterion formulated with some special weighting matrix. We will re-derive this result through the Lagrange multiplier method which is more constructive, and complement it by giving a complete parametrization of the special weighting matrices. Numerical examples of Hammerstein system identification are presented to validate the obtained theoretical results.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000336893604019&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Automation & Control Systems; Engineering, Electrical & Electronic; EI; CPCI-S(ISTP); 1
语种	英语
DOI标识	10.1109/CDC.2009.5400243
内容类型	其他
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/155205]
专题	工学院
推荐引用方式 GB/T 7714	Wang, Jiandong,Zhang, Qinghua,Ljung, Lennart. Revisiting the Two-Stage Algorithm for Hammerstein system identification. 2009-01-01.

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