Nonlinear Process Monitoring Using Dynamic Sparse Kernel Classifier

Abstract Nonlinear process monitoring method based on kernel function is effective but has great computation complexity for all training samples are introduced in model training. This paper proposes a novel sparse kernel method based on dynamic sparse kernel classifier (DSKC) for nonlinear dynamic process monitoring. In the proposed method, monitoring model is built using a nonlinear classifier technique based on kernel trick. In order to reduce the complexity of kernel model, a forward orthogonal selection procedure is applied to minimize the leave one out error. A monitoring statistic is developed and confidence limit is computed by kernel density estimation. For identify fault source variables, contribution plot is constructed based on the idea of sensitivity analysis. Simulation of a continuous stirred tank reactor system shows that the proposed method performs better compared with kernel principal component analysis in terms of fault detection performance and computation efficiency.

[1]  Bing Lam Luk,et al.  Orthogonal-least-squares regression: A unified approach for data modelling , 2009, Neurocomputing.

[2]  J. Golinval,et al.  Fault detection based on Kernel Principal Component Analysis , 2010 .

[3]  ChangKyoo Yoo,et al.  Statistical process monitoring with independent component analysis , 2004 .

[4]  Richard D. Braatz,et al.  Fault detection in industrial processes using canonical variate analysis and dynamic principal component analysis , 2000 .

[5]  Qunxiong Zhu,et al.  Multiscale Nonlinear Principal Component Analysis (NLPCA) and Its Application for Chemical Process Monitoring , 2005 .

[6]  Raghunathan Rengaswamy,et al.  A review of process fault detection and diagnosis: Part III: Process history based methods , 2003, Comput. Chem. Eng..

[7]  Shengtai Li,et al.  Sensitivity analysis of differential-algebraic equations and partial differential equations , 2005, Comput. Chem. Eng..

[8]  Xiaoling Zhang,et al.  Multiway kernel independent component analysis based on feature samples for batch process monitoring , 2009, Neurocomputing.

[9]  Sheng Chen,et al.  A fast linear-in-the-parameters classifier construction algorithm using orthogonal forward selection to minimize leave-one-out misclassification rate , 2008, Int. J. Syst. Sci..

[10]  Chi Ma,et al.  Fault diagnosis of nonlinear processes using multiscale KPCA and multiscale KPLS , 2011 .

[11]  T. McAvoy,et al.  Nonlinear principal component analysis—Based on principal curves and neural networks , 1996 .

[12]  ChangKyoo Yoo,et al.  Statistical monitoring of dynamic processes based on dynamic independent component analysis , 2004 .

[13]  V. Roth Kernel Fisher Discriminants for Outlier Detection , 2006 .

[14]  C. Yoo,et al.  Nonlinear process monitoring using kernel principal component analysis , 2004 .

[15]  Bernhard Schölkopf,et al.  Nonlinear Component Analysis as a Kernel Eigenvalue Problem , 1998, Neural Computation.