4.7 Article

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

期刊

IEEE-CAA JOURNAL OF AUTOMATICA SINICA
卷 8, 期 2, 页码 377-388

出版社

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JAS.2021.1003826

关键词

Boundedness analysis; impulsive measurement outliers; parameter-dependent filter; set-membership filtering; time-varying systems

资金

  1. National Natural Science Foundation of China [61703245, 61873148, 61933007]
  2. China Postdoctoral Science Foundation [2018T110702]
  3. Postdoctoral Special Innovation Foundation of of Shandong Province of China [201701015]
  4. European Union [820776]
  5. Royal Society of the UK
  6. Alexander von Humboldt Foundation of Germany

向作者/读者索取更多资源

This paper addresses the set-membership filtering problem for linear time-varying systems with norm-bounded noises and impulsive measurement outliers, proposing a parameter-dependent set-membership filter capable of constructing a time-varying ellipsoidal region. The paper introduces a novel outlier detection strategy based on an input-output model and investigates the ultimate boundedness of the ellipsoidal region. Additionally, a simulation example is provided to demonstrate the effectiveness of the proposed filtering strategy.
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.

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