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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 759035, 12 pages
http://dx.doi.org/10.1155/2015/759035
Research Article

Defect Detection and Localization of Nonlinear System Based on Particle Filter with an Adaptive Parametric Model

1School of Mechanical Engineering, Jiangnan University, Wuxi 214122, China
2Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology, Wuxi 214122, China

Received 31 July 2015; Accepted 17 November 2015

Academic Editor: Xinggang Yan

Copyright © 2015 Jingjing Wu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A robust particle filter (PF) and its application to fault/defect detection of nonlinear system are investigated in this paper. First, an adaptive parametric model is exploited as the observation model for a nonlinear system. Second, by incorporating the parametric model, particle filter is employed to estimate more accurate hidden states for the nonlinear stochastic system. Third, by formulating the problem of defect detection within the hypothesis testing framework, the statistical properties of the proposed testing are established. Finally, experimental results demonstrate the effectiveness and robustness of the proposed detector on real defect detection and localization in images.