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

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

Research output: Contribution to journalArticlepeer-review


The continuous-time deadbeat H₂ finite impulse response (FIR) filter (CTDH2FF) was originally designed by Ahn to diminish the effect of external disturbances. In this paper, 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 l₂-l∞ and H∞ filtering performance bounds based on a numerical example of the F-404 engine model is discussed.

Original languageEnglish
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Publication statusAccepted/In press - 2017 Oct 28


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

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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