Publication result detail

Estimation of parameters of one-step predictor with particle filter method

LEBEDA, A.

Original Title

Estimation of parameters of one-step predictor with particle filter method

English Title

Estimation of parameters of one-step predictor with particle filter method

Type

Paper in proceedings (conference paper)

Original Abstract

This paper is focused on estimation of the parameters of a system with non-Gaussian noise. Firstly, the Bayesian inference is described and the method of the particle filters is introduced which is directly based on the Bayesian inference. The particle filters method numrically solve a problem of a recursive Bayesian state estimator. Secondly, the method for transformation of a random variables is introduced which changes the relative likelihood of the particle filters according to the distribution of the measurement noise. Thirdly, recursive least square method is derived and linear one-step predictor is described. Fourthly, parameters of the one-step predictor are estimated online with two methods that were mention before. The outputs of both methods are compared and results are discussed. The particle filters method with random variables is analyzed.

English abstract

This paper is focused on estimation of the parameters of a system with non-Gaussian noise. Firstly, the Bayesian inference is described and the method of the particle filters is introduced which is directly based on the Bayesian inference. The particle filters method numrically solve a problem of a recursive Bayesian state estimator. Secondly, the method for transformation of a random variables is introduced which changes the relative likelihood of the particle filters according to the distribution of the measurement noise. Thirdly, recursive least square method is derived and linear one-step predictor is described. Fourthly, parameters of the one-step predictor are estimated online with two methods that were mention before. The outputs of both methods are compared and results are discussed. The particle filters method with random variables is analyzed.

Keywords

particle filters, non-Gaussian, Bayessian inference, identification, linear model

Key words in English

částicové filtry, neGausovské systémy, Bayesovská inference, identifikace, lineární model

Authors

LEBEDA, A.

RIV year

2016

Released

13.05.2015

Publisher

Silesian University of Technology, Poland

Location

Cracow, Poland

Book

13th IFAC Conference on Programmable Devices and Embedded Systems - PDeS 2015

ISBN

1474-6670

Periodical

Programmable devices and systems

Volume

2015

Number

13

State

United Kingdom of Great Britain and Northern Ireland

Pages from

256

Pages to

261

Pages count

6

URL

https://www.sciencedirect.com/science/article/pii/S2405896315008186

BibTex

@inproceedings{BUT115314,
  author="Aleš {Lebeda}",
  title="Estimation of parameters of one-step predictor with particle filter method",
  booktitle="13th IFAC Conference on Programmable Devices and Embedded Systems - PDeS 2015",
  year="2015",
  journal="Programmable devices and systems",
  volume="2015",
  number="13",
  pages="256--261",
  publisher="Silesian University of Technology, Poland",
  address="Cracow, Poland",
  doi="10.1016/j.ifacol.2015.07.043",
  issn="1474-6670",
  url="https://www.sciencedirect.com/science/article/pii/S2405896315008186"
}