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

15 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

Bibliographical note

Funding Information:
Manuscript received August 25, 2017; accepted October 16, 2017. Date of publication October 30, 2017; date of current version October 29, 2018. This work was supported in part by National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325, in part by the 111 Project under Grant B12018, in part by the National Natural Science Foundation of China under Grant 61622302, in part by the Guangdong Natural Science Funds for Distinguished Young Scholar under Grant 2017A030306014, and in part by the Department of Education of Liaoning Province under Grant LZ2017001. This brief was recommended by Associate Editor H.-G. Yeh. (Corresponding author: Choon Ki Ahn.) C. K. Ahn is with the School of Electrical Engineering, Korea University, Seoul 136-701, South Korea (e-mail: hironaka@korea.ac.kr).

Publisher Copyright:
© 2004-2012 IEEE.


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

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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