Identification input design for consistent parameter estimation of linear systems with binary-valued output observations

doi:10.1109/TAC.2008.920222

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	Identification input design for consistent parameter estimation of linear systems with binary-valued output observations
	Wang, Le Yi 1; Yin, G. George 2; Zhao, Yanlong3 ; Zhang, Ji-Feng3
	2008-05-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	53 期号:4 页码:867-880
摘要	Input design is of essential importance in system identification for providing sufficient probing capabilities to guarantee convergence of parameter estimates to their true values. This paper presents conditions on input signals that characterize their probing richness for strongly consistent parameter estimation of linear systems with binary-valued output observations. Necessary and sufficient conditions on periodic signals are derived for sufficient richness. These conditions are further studied under different system configurations including open-loop and feedback systems, and different scenarios of noises including actuator noise, input measurement noise, and output measurement noise. In addition to system parameter estimation, essential properties of identifiability and input conditions are also derived when sensor thresholds or noise distribution functions are unknown. The findings of this paper provide a foundation to study identification of systems that either use binary-valued or quantized sensors or involve communication channels, which mandate quantization of signals.
关键词	binary-valued observation distribution function identification input design parameter estimation sensor threshold sufficient excitation
DOI	10.1109/TAC.2008.920222
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:000256965900001
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/5826
专题	系统科学研究所
通讯作者	Wang, Le Yi
作者单位	1.Wayne State Univ, Dept Elect & Comp Engn, Detroit, MI 48202 USA 2.Wayne State Univ, Dept Math, Detroit, MI 48202 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Le Yi,Yin, G. George,Zhao, Yanlong,et al. Identification input design for consistent parameter estimation of linear systems with binary-valued output observations[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2008,53(4):867-880.
APA	Wang, Le Yi,Yin, G. George,Zhao, Yanlong,&Zhang, Ji-Feng.(2008).Identification input design for consistent parameter estimation of linear systems with binary-valued output observations.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,53(4),867-880.
MLA	Wang, Le Yi,et al."Identification input design for consistent parameter estimation of linear systems with binary-valued output observations".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 53.4(2008):867-880.