On the l2- l∞ and H∞ Performances of the Continuous-Time Deadbeat H2 FIR Filter

Choon Ki Ahn, Shunyi Zhao, Yuriy S. Shmaliy, Hongyi Li

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


The continuous-time deadbeat H 2 finite impulse response filter (CTDH2FF) was originally designed by Ahn to diminish the effect of external disturbances. In this brief, we provide an in-depth investigation of the CTDH2FF and show that it also obeys the l2 - l ∞ filtering performance to capture the peak value of the filter error for finite energy disturbances. We also prove that the CTDH2FF satisfies the robust H ∞ filtering performance criterion to consider the filter error energy for finite energy external disturbances. Finally, the determination of the horizon size for the CTDH2FF considering both the l 2 - l ∞ and H ∞ filtering performance bounds based on a numerical example of the F-404 engine model is discussed.

Original languageEnglish
Article number8089773
Pages (from-to)1798-1802
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Issue number11
Publication statusPublished - 2018 Nov


  • Continuous-time
  • H∞ performance
  • deadbeat H2 FIR filter, l2-l∞ performance

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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