A Novel Robust Variational Bayesian Filter for Unknown Time-Varying Input and Inaccurate Noise Statistics

Wei Huang, Hongpo Fu, Weiguo Zhang

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Considering that, in many practical applications, the unknown time-varying input and heavy-tailed process and measurement noises induced by some unpredictable anomalous behaviors may degrade the performance of conventional filters seriously, this letter proposes a new robust variational Bayesian (VB) filter. First, the modified one-step prediction and measurement likelihood probability density function are constructed. Then, the VB method is utilized to jointly infer the system state, unknown time-varying input, and inaccurate noise covariance matrices. Finally, a new robust filter is derived, and its effectiveness is verified by the numerical simulations.

Original languageEnglish
Article number7001104
JournalIEEE Sensors Letters
Volume7
Issue number3
DOIs
StatePublished - 1 Mar 2023

Keywords

  • heavy-tailed noise
  • robust filter
  • Sensor signal processing
  • state estimation
  • unknown input
  • variational Bayesian

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