Gaussian sum filter for state estimation of Markov jump nonlinear system

Li Wang, Yan Liang, Xiaoxu Wang, Linfeng Xu

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper proposes the Gaussian sum filtering (GSF) framework for the state estimation of Markov jump nonlinear systems (MJNLSs). Through presenting the Gaussian sum approximations about the model-conditioned state posterior probability density function (PDF) and the model-conditioned measurement posterior predictive PDF, a general GSF framework in the minimum mean square error (MMSE) sense is derived. The Minor Gaussian-set design is utilized to merge the Gaussian components at the beginning, which can effectively limit the computational requirements. Simulation results demonstrate that the proposed method performs almost as well as the interacting multiple model particle filter (IMM-PF) but with much lower computational cost.

Original languageEnglish
Title of host publicationFUSION 2014 - 17th International Conference on Information Fusion
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9788490123553
StatePublished - 3 Oct 2014
Event17th International Conference on Information Fusion, FUSION 2014 - Salamanca, Spain
Duration: 7 Jul 201410 Jul 2014

Publication series

NameFUSION 2014 - 17th International Conference on Information Fusion

Conference

Conference17th International Conference on Information Fusion, FUSION 2014
Country/TerritorySpain
CitySalamanca
Period7/07/1410/07/14

Keywords

  • Gaussian sum approximation
  • Markov jump nonlinear systems
  • Moment matching
  • Polynomial interpolation

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