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  • Knowledge of noise distribution is typically crucial for good estimation of a non-linear state-space model. However, properties of the noise process are often unknown in the majority of practical applications. Moreover, distribution of the noise may be non-stationary or state dependent, which prevents the use of off-line tuning methods. General estimation methods, such as particle filtering can be used to estimate the noise parameters, however at the price of heavy computational load. In this paper, we present an approach based on marginalized particle filtering where the noise parameters have analytical distribution. Explicit modeling of parameter non-stationarity is avoided and it is replaced by maximum-entropy estimation based on the assumption of slowly varying parameters. Properties of the resulting algorithm are illustrated on both a standard example and a navigation application based on odometry. The latter involves formulas for dead reckoning rotational speeds of two wheels with unknown radii.
  • Knowledge of noise distribution is typically crucial for good estimation of a non-linear state-space model. However, properties of the noise process are often unknown in the majority of practical applications. Moreover, distribution of the noise may be non-stationary or state dependent, which prevents the use of off-line tuning methods. General estimation methods, such as particle filtering can be used to estimate the noise parameters, however at the price of heavy computational load. In this paper, we present an approach based on marginalized particle filtering where the noise parameters have analytical distribution. Explicit modeling of parameter non-stationarity is avoided and it is replaced by maximum-entropy estimation based on the assumption of slowly varying parameters. Properties of the resulting algorithm are illustrated on both a standard example and a navigation application based on odometry. The latter involves formulas for dead reckoning rotational speeds of two wheels with unknown radii. (en)
Title
  • Marginalized adaptive particle filtering for nonlinear models with unknown time-varying noise parameters
  • Marginalized adaptive particle filtering for nonlinear models with unknown time-varying noise parameters (en)
skos:prefLabel
  • Marginalized adaptive particle filtering for nonlinear models with unknown time-varying noise parameters
  • Marginalized adaptive particle filtering for nonlinear models with unknown time-varying noise parameters (en)
skos:notation
  • RIV/67985556:_____/13:00393047!RIV14-GA0-67985556
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP102/11/0437)
http://linked.open...iv/cisloPeriodika
  • 6
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 86376
http://linked.open...ai/riv/idVysledku
  • RIV/67985556:_____/13:00393047
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Unknown Noise Statistics; Adaptive Filtering; Marginalized Particle Filter; Bayesian Conjugate prior (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [5C684B31E707]
http://linked.open...i/riv/nazevZdroje
  • Automatica
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http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 49
http://linked.open...iv/tvurceVysledku
  • Šmídl, Václav
  • Gustafsson, F.
  • Sáha, S.
  • Lundquist, C.
  • Ökzan, E.
http://linked.open...ain/vavai/riv/wos
  • 000319540500005
issn
  • 0005-1098
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.automatica.2013.02.046
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