New H FIR smoother for linear discrete-time state-space models

Choonki Ahn, Soohee Han

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


This letter propose a new H smoother (HIS) with a finite impulse response (FIR) structure for discrete-time state-space models. This smoother is called an H FIR smoother (HIFS). Constraints such as linearity, quasi-deadbeat property, FIR structure, and independence of the initial state information are required in advance. Among smoothers with these requirements, we choose the HIFS to optimize H performance criterion. The HIFS is obtained by solving the linear matrix inequality (LMI) problem with a parametrization of a linear equality constraint. It is shown through simulation that the proposed HIFS is more robust against uncertainties and faster in convergence than the conventional HIS.

Original languageEnglish
Pages (from-to)896-899
Number of pages4
JournalIEICE Transactions on Communications
Issue number3
Publication statusPublished - 2008
Externally publishedYes


  • FIR structure
  • H smoother
  • Initial state independency
  • Linear matrix inequality (LMI)
  • Quasi-deadbeat property

ASJC Scopus subject areas

  • Software
  • Computer Networks and Communications
  • Electrical and Electronic Engineering


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