Receding-Horizon l2-l FIR filter with embedded deadbeat property

Choon Ki Ahn, Yuriy S. Shmaliy, Peng Shi, Yuxin Zhao

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


This brief proposes a new finite-impulse response (FIR) receding-horizon filter for discrete-time linear systems in state space. A solution has l2-l performance with the embedded deadbeat property and is called the FIR l2-l filter (FIRllF). Based on the linear matrix inequality (LMI) and linear matrix equality (LME) formulations, a sufficient condition is found such that the FIRllF ascertains the guaranteed l2-l performance with the deadbeat property. Using this result, we further obtain a new LMI condition for the existence of the FIRllF without using the LME. Through a numerical example, the proposed FIRllF is shown to be more robust against unexpected uncertainties than the existing l2-l filter.

Original languageEnglish
Article number7453192
Pages (from-to)211-215
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Issue number2
Publication statusPublished - 2017 Feb


  • Terms-Deadbeat property
  • finite-impulse response (FIR)
  • l-l filter (llF)

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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