A Revisit to Strictly Passive FIR Filtering

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

Research output: Contribution to journalArticle


This paper 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 may lead to limited applications. In this paper, 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 (IIR) filter against quantization and uncertainty.

Original languageEnglish
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Publication statusAccepted/In press - 2017 Aug 19


  • finite impulse response
  • Finite impulse response filters
  • Linear matrix inequalities
  • robust filtering.
  • Robustness
  • Stability analysis
  • State estimation
  • state estimation
  • Strict passivity

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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

  • Cite this