Further Results on Induced l∞ RH FIR Filtering

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

Research output: Contribution to journalArticlepeer-review


The first results on the induced l∞ receding horizon (RH) finite impulse response (FIR) filtering were obtained by Ahn for a nonsingular system matrix without consideration of external control input, which limited the area of applications. This paper discusses a new design condition for the induced l∞ RH FIR filter applied to model with an arbitrary system matrix and external control input. Based upon this result, a correspondence is found between the induced l∞ RH FIR filter and the H∞ RH FIR filter. Higher robustness of the proposed filter against uncertainties in the system matrix is shown in a comparison with the existing induced l∞ RH filter, which has an infinite impulse response (IIR).

Original languageEnglish
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Publication statusAccepted/In press - 2018 Jan 6


  • finite impulse response
  • Induced l∞ performance
  • singular matrix.
  • state estimation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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