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


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

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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