Continuous-Time Deadbeat H2 FIR Filter

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

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


This brief proposes a new continuous-time state-space H2 finite impulse response (FIR) filter with the embedded deadbeat property for linear systems undergoing external disturbances. The new filter is called the continuous-time deadbeat H2 FIR filter (CTDH2FF). The proposed filter demonstrates H2 performance under disturbances and the deadbeat property otherwise. The CTDH2FF can be implemented by solving two matrix differential equations for given boundary conditions. A new formula for the minimum H2 norm of the CTDH2FF is also discussed. Numerical simulations show that the proposed filter has much better robustness against unexpected short-term model changes than the existing filters.

Original languageEnglish
Article number7577797
Pages (from-to)987-991
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Issue number8
Publication statusPublished - 2017 Aug

Bibliographical note

Funding Information:
Manuscript received July 6, 2016; revised August 24, 2016; accepted September 20, 2016. Date of publication September 27, 2016; date of current version July 31, 2017. This work was supported in part by the NRF through the Ministry of Science, ICT, and Future Planning under Grant NRF-2014R1A1A1006101 and in part by the National Natural Science Foundation of China under Grant 61603155, Grant 61622302, and Grant 61573070. This brief was recommended by Associate Editor Z. Galias. (Corresponding author: Choon Ki Ahn.) C. K. Ahn is with the School of Electrical Engineering, Korea University, Seoul 136-701, South Korea (e-mail:

Publisher Copyright:
© 2016 IEEE.


  • H filter
  • continuous time
  • deadbeat property
  • finite impulse response (FIR) filter

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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