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Títol: Comparison of two robust PCA methods for damage detection in the presence of outliers
Autor: Gharibnezhad, Fahit
Mujica Delgado, Luis Eduardo
Rodellar Benedé, José
Altres autors/autores: Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. CODALAB - Control, Dinàmica i Aplicacions
Matèries: Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica::Mètodes estadístics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística aplicada::Estadística biosanitària
Mathematical statistics
Estadística matemàtica--Aplicacions
62P Applications
Tipus de document: Article
Descripció: Statistical methods such as Principal Component Analysis (PCA) are suffering from contaminated data. For instance, variance and covariance as vital parts of PCA method are sensitive to anomalous observation called outliers. Outliers, who are usually, appear due to experimental errors, are observations that lie at a considerable distance from the bulk of the observations. An effective way to deal with this problem is to apply a robust, i.e. not sensitive to outliers, variant of PCA. In this work, two robust PCA methods are used instead of classical PCA in order to construct a model using data in presence of outliers to detect and distinguish damages in structures. The comparisons of the results shows that, the use of the mentioned indexes based on the robust models, distinguish the damages much better than using classical one, and even in many cases allows the detection where classic PCA is not able to discern between damaged and non-damaged structure. In addition, two robust methods are compared with each other and their features are discussed. This work involves experiments with an aircraft turbine blade using piezoelectric transducers as sensors and actuators and simulated damages.
Peer Reviewed
Postprint (published version)
Altres identificadors i accés: Gharibnezhad, F.; Mujica, L.E.; Rodellar, J. Comparison of two robust PCA methods for damage detection in the presence of outliers. "Journal of Physics: Conference Series", 19 Juliol 2011, vol. 305, núm. 012009, p. 1-10.
Disponible al dipòsit:E-prints UPC

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