A Revisit to Strictly Passive FIR Filtering

Choon Ki Ahn, Shunyi Zhao, Yuriy S. Shmaliy, R. Sakthivel

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


This brief revisits the strictly passive finite impulse response (FIR) filtering problem in discrete-time state space. An initial result on the strictly passive FIR filter was presented by Ahn in 2012, but was restricted to state-space models with a nonsingular system matrix, which limits the scope of application. In this brief, we propose a new design condition for the strictly passive FIR filter that does not impose any restriction on the system matrix in the linear matrix inequality form. Based on this condition, new results on its connection with finite-time H ∞ FIR filtering are presented. An application example for an afterburning engine model with a singular system matrix verifies the proposed filter's higher robustness than the existing strictly passive infinite impulse response filter against quantization and uncertainty.

Original languageEnglish
Pages (from-to)516-520
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Issue number4
Publication statusPublished - 2018 Apr

Bibliographical note

Funding Information:
Manuscript received July 13, 2017; accepted August 9, 2017. Date of publication August 21, 2017; date of current version March 26, 2018. This work was supported by the National Research Foundation of Korea funded by the Ministry of Science, ICT, and Future Planning (NRF-2017R1A1A1A05001325). This brief was recommended by Associate Editor H. K. Lam. (Corresponding authors: Choon Ki Ahn; R. Sakthivel.) 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.


  • Strict passivity
  • finite impulse response
  • robust filtering
  • state estimation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


Dive into the research topics of 'A Revisit to Strictly Passive FIR Filtering'. Together they form a unique fingerprint.

Cite this