Set-Membership Filtering Subject to Impulsive Measurement Outliers: A Recursive Algorithm

doi:10.1109/JAS.2021.1003826

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	Set-Membership Filtering Subject to Impulsive Measurement Outliers: A Recursive Algorithm
	Lei Zou; Zidong Wang; Hang Geng; Xiaohui Liu
发表期刊	IEEE/CAA Journal of Automatica Sinica
ISSN	2329-9266
	2021
卷号	8 期号:2 页码:377-388
摘要	This paper is concerned with the set-membership filtering problem for a class of linear time-varying systems with norm-bounded noises and impulsive measurement outliers. A new representation is proposed to model the measurement outlier by an impulsive signal whose minimum interval length (i.e., the minimum duration between two adjacent impulsive signals) and minimum norm (i.e., the minimum of the norms of all impulsive signals) are larger than certain thresholds that are adjustable according to engineering practice. In order to guarantee satisfactory filtering performance, a so-called parameter-dependent set-membership filter is put forward that is capable of generating a time-varying ellipsoidal region containing the true system state. First, a novel outlier detection strategy is developed, based on a dedicatedly constructed input-output model, to examine whether the received measurement is corrupted by an outlier. Then, through the outcome of the outlier detection, the gain matrix of the desired filter and the corresponding ellipsoidal region are calculated by solving two recursive difference equations. Furthermore, the ultimate boundedness issue on the time-varying ellipsoidal region is thoroughly investigated. Finally, a simulation example is provided to demonstrate the effectiveness of our proposed parameter-dependent set-membership filtering strategy.
关键词	Boundedness analysis impulsive measurement outliers parameter-dependent filter set-membership filtering time-varying systems
DOI	10.1109/JAS.2021.1003826
引用统计	被引频次：94[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/43919
专题	学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	Lei Zou,Zidong Wang,Hang Geng,et al. Set-Membership Filtering Subject to Impulsive Measurement Outliers: A Recursive Algorithm[J]. IEEE/CAA Journal of Automatica Sinica,2021,8(2):377-388.
APA	Lei Zou,Zidong Wang,Hang Geng,&Xiaohui Liu.(2021).Set-Membership Filtering Subject to Impulsive Measurement Outliers: A Recursive Algorithm.IEEE/CAA Journal of Automatica Sinica,8(2),377-388.
MLA	Lei Zou,et al."Set-Membership Filtering Subject to Impulsive Measurement Outliers: A Recursive Algorithm".IEEE/CAA Journal of Automatica Sinica 8.2(2021):377-388.

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