2014
DOI: 10.1007/978-3-319-12883-2_6
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PWARX Model Identification Based on Clustering Approach

Abstract: This chapter addresses the problem of clustering based procedure for the identification of PieceWise Auto-Regressive eXogenous (PWARX) models. In order to overcome the main drawbacks of the existing methods such as their sensitivity to poor initializations and the existence of outliers, we propose the use of the Chiu's clustering algorithm and the Density-Based Spatial Clustering of Applications with Noise (DBSCAN) algorithm. A comparative study of the two proposed approaches with the k-means method is achieve… Show more

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Cited by 3 publications
(3 citation statements)
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“…Several solutions have been presented in the literature for the identification of PWA models. [25][26][27][28][29] We have advocated the use of the clustering based method, [30][31][32] which is based on the assumption that the process behaves locally affine. So, first of all, it can gather close regression vectors in local datasets and identifies an ARX model over each using least squares.…”
Section: Introductionmentioning
confidence: 99%
“…Several solutions have been presented in the literature for the identification of PWA models. [25][26][27][28][29] We have advocated the use of the clustering based method, [30][31][32] which is based on the assumption that the process behaves locally affine. So, first of all, it can gather close regression vectors in local datasets and identifies an ARX model over each using least squares.…”
Section: Introductionmentioning
confidence: 99%
“…There exist numerous approaches in the literature for the identification of PWA models Tian et al (2011), Ferrari-Trecate et al (2003, Bemporad et al (2003), Juloski et al (2005), Bemporad et al (2005). We have advocated the use of clustering based approach Lassoued and Abderrahim (2014c), which is based on the fact that process has local affine behaviours. So, first of all, close regression vectors are gathered in local datasets.…”
Section: Introductionmentioning
confidence: 99%
“…It is impossible to exclusive clustering approaches to cluster news items into different clusters. Any other way, fuzzy clustering approaches are very complicated without any considerable improvement [10].…”
Section: Introductionmentioning
confidence: 99%