Filtering in Gaussian Linear Systems with Fuzzy Switches

Zied Bouyahia; Stephane Derrode; Wojciech Pieczynski

doi:10.1109/TFUZZ.2019.2921944

Filtering in Gaussian Linear Systems with Fuzzy Switches

Zied Bouyahia
, Stephane Derrode
, Wojciech Pieczynski

Research output: Contribution to journal › Article › peer-review

Abstract

This paper presents recent results on conditionally Gaussian observed Markov switching models by incorporating fuzzy switches in the model, instead of hard ones. This kind of generalization is of interest for applications involving continuous switching regimes, such as tracking an object using cameras in intermittent sunlight and shadow conditions. The filter developed hereby is recursive, optimal, and exact, up to an approximation of integrals according to some fuzzy measures. Experiences on simulated and on real data - dealing with outdoor air temperature and power consumption of a building - confirm the accuracy and effectiveness of the proposed filter compared with the hard filter with 'crisp' switches.

Original language	English
Article number	8733890
Pages (from-to)	1760-1770
Number of pages	11
Journal	IEEE Transactions on Fuzzy Systems
Volume	28
Issue number	8
DOIs	https://doi.org/10.1109/TFUZZ.2019.2921944
Publication status	Published - 1 Aug 2020

Keywords

Fast filtering
fuzzy switching linear model
triplet Markov models

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10.1109/TFUZZ.2019.2921944

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title = "Filtering in Gaussian Linear Systems with Fuzzy Switches",

abstract = "This paper presents recent results on conditionally Gaussian observed Markov switching models by incorporating fuzzy switches in the model, instead of hard ones. This kind of generalization is of interest for applications involving continuous switching regimes, such as tracking an object using cameras in intermittent sunlight and shadow conditions. The filter developed hereby is recursive, optimal, and exact, up to an approximation of integrals according to some fuzzy measures. Experiences on simulated and on real data - dealing with outdoor air temperature and power consumption of a building - confirm the accuracy and effectiveness of the proposed filter compared with the hard filter with 'crisp' switches.",

keywords = "Fast filtering, fuzzy switching linear model, triplet Markov models",

author = "Zied Bouyahia and Stephane Derrode and Wojciech Pieczynski",

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AB - This paper presents recent results on conditionally Gaussian observed Markov switching models by incorporating fuzzy switches in the model, instead of hard ones. This kind of generalization is of interest for applications involving continuous switching regimes, such as tracking an object using cameras in intermittent sunlight and shadow conditions. The filter developed hereby is recursive, optimal, and exact, up to an approximation of integrals according to some fuzzy measures. Experiences on simulated and on real data - dealing with outdoor air temperature and power consumption of a building - confirm the accuracy and effectiveness of the proposed filter compared with the hard filter with 'crisp' switches.

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KW - fuzzy switching linear model

KW - triplet Markov models

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Filtering in Gaussian Linear Systems with Fuzzy Switches

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Keywords

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