New quasi-deadbeat FIR smoother for discrete-time state-space signal models: An LMI approach

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5 Citations (Scopus)

Abstract

In this letter, we propose a new H2 smoother (H2Š) with a finite impulse response (FIR) structure for discrete-time state-space signal models. This smoother is called an H2 FIR smoother (H2FS). Constraints such as linearity, quasi-deadbeat property, FIR structure, and independence of the initial state information are required in advance to design H2FS that is optimal in the sense of H2 performance criterion. It is shown that H2FS design problem can be converted into the convex programming problem written in terms of a linear matrix inequality (LMI) with a linear equality constraint. Simulation study illustrates that the proposed H2FS is more robust against uncertainties and faster in convergence than the conventional H2S.

Original languageEnglish
Pages (from-to)2671-2674
Number of pages4
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE91-A
Issue number9
DOIs
Publication statusPublished - 2008 Sep
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics

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