Data mining-based flatness pattern prediction for cold rolling process with varying operating condition

Data-rich environments in modern rolling processes provide a great opportunity for more effective process control and more total quality improvement. Flatness is a key geometrical feature of strip products in a cold rolling process. In order to achieve good flatness, it is necessary to reveal the factors that often influence the flatness quality, to develop a general flatness pattern prediction model that can handle the varying operating condition during the rolling of products with different specifications and to realize an effective flatness feedback control strategy. This paper develops a practical data mining-based flatness pattern prediction method for cold rolling process with varying operating condition. Firstly, the high-dimensional process measurements are projected onto a low-dimensional space (i.e., the latent variable space) using locality preserving projection method; at the same time, the Legendre orthogonal polynomials are used to extract the basic flatness patterns by projecting the high-dimensional flatness measurements into several flatness characteristic coefficients. Secondly, a mixture probabilistic linear regression model is adopted to describe the relationships between the latent variables and the flatness characteristic coefficients. Case study is conducted on a real steel rolling process. Results show that the developed method has not only the satisfactory prediction performance, but good potentials to improve process understanding and strip flatness quality.

[1]  Sumitesh Das,et al.  Hybrid neural–GA model to predict and minimise flatness value of hot rolled strips , 2008 .

[2]  Mikhail Belkin,et al.  Laplacian Eigenmaps and Spectral Techniques for Embedding and Clustering , 2001, NIPS.

[3]  A. Iqbal,et al.  Prediction of Mechanical Properties of Hot Rolled, Low-Carbon Steel Strips Using Artificial Neural Network , 2005 .

[4]  Padhraic Smyth,et al.  Trajectory clustering with mixtures of regression models , 1999, KDD '99.

[5]  Pierre Montmitonnet,et al.  Hot and cold strip rolling processes , 2006 .

[6]  Kumpati S. Narendra,et al.  The changing face of adaptive control: The use of multiple models , 2011, Annu. Rev. Control..

[7]  Chun-yu Jia,et al.  Fuzzy Neural Model for Flatness Pattern Recognition , 2008 .

[8]  Anrui He,et al.  Development and Application of Dynamic Shape Control System in Hot Wide Strip Mills , 2010, 2010 International Conference on Electrical and Control Engineering.

[9]  Pierre Montmitonnet,et al.  Coupled approach for flatness prediction in cold rolling of thin strip , 2011 .

[10]  Anil K. Jain,et al.  Unsupervised Learning of Finite Mixture Models , 2002, IEEE Trans. Pattern Anal. Mach. Intell..

[11]  Stefan Schaal,et al.  Robot Programming by Demonstration , 2009, Springer Handbook of Robotics.

[12]  Anh Kiet Tieu,et al.  A flying gauge change model in tandem cold strip mill , 2008 .

[13]  Peter J. Bickel,et al.  Maximum Likelihood Estimation of Intrinsic Dimension , 2004, NIPS.

[14]  Sylvain Calino,et al.  Robot programming by demonstration : a probabilistic approach , 2009 .

[15]  Jordi Vitrià,et al.  Learning mixture models using a genetic version of the EM algorithm , 2000, Pattern Recognition Letters.

[16]  Michael I. Jordan,et al.  Mixtures of Probabilistic Principal Component Analyzers , 2001 .

[17]  P. Deb Finite Mixture Models , 2008 .

[18]  Biao Huang,et al.  A decoupled multiple model approach for soft sensors design , 2011 .

[19]  Marek Obitko,et al.  Big Data Challenges in Industrial Automation , 2013, HoloMAS.

[20]  J. Tenenbaum,et al.  A global geometric framework for nonlinear dimensionality reduction. , 2000, Science.

[21]  J.-P. Faure,et al.  Operational results of the DSR installed on the No. 1 tandem cold mill of Baoshan Iron and Steel , 2005 .

[22]  Placid Mathew Ferreira,et al.  Verification of form tolerances part I: Basic issues, flatness, and straightness , 1995 .

[23]  Furong Gao,et al.  Mixture probabilistic PCR model for soft sensing of multimode processes , 2011 .

[24]  Geoffrey J. McLachlan,et al.  Finite Mixture Models , 2019, Annual Review of Statistics and Its Application.

[25]  Daniel F. García,et al.  Machine Vision System for Flatness Control Feedback , 2009, 2009 Second International Conference on Machine Vision.

[26]  Nobuaki Minematsu,et al.  Mixture of Probabilistic Linear Regressions: A unified view of GMM-based mapping techiques , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[27]  Ill-Soo Kim,et al.  A study on on-line learning neural network for prediction for rolling force in hot-rolling mill , 2005 .

[28]  Katharina Morik,et al.  Challenges for Data Mining on Sensor Data of Interlinked Processes , 2012 .

[29]  Helge J. Ritter,et al.  Resolution-Based Complexity Control for Gaussian Mixture Models , 2001, Neural Computation.

[30]  Age K. Smilde,et al.  Generalized contribution plots in multivariate statistical process monitoring , 2000 .

[31]  S T Roweis,et al.  Nonlinear dimensionality reduction by locally linear embedding. , 2000, Science.

[32]  T. Uppgard Predicting Post-rolling Flatness by Statistical Analysis , 2007, 2007 2nd IEEE Conference on Industrial Electronics and Applications.

[33]  Daniel F. García,et al.  Real-time flatness inspection of rolled products based on optical laser triangulation and three-dimensional surface reconstruction , 2010, J. Electronic Imaging.

[34]  Sylvain Calinon,et al.  Robot Programming by Demonstration - a Probabilistic Approach , 2009 .

[35]  Qiang Zhao,et al.  Flatness prediction model based on wavelet transform , 2010, 2010 International Conference On Computer Design and Applications.

[36]  Xiaofei He,et al.  Locality Preserving Projections , 2003, NIPS.

[37]  Jin Hyun Park,et al.  Process monitoring using a Gaussian mixture model via principal component analysis and discriminant analysis , 2004, Comput. Chem. Eng..

[38]  Jianjun Shi,et al.  Quality control and improvement for multistage systems: A survey , 2009 .

[39]  S. Qin,et al.  Multimode process monitoring with Bayesian inference‐based finite Gaussian mixture models , 2008 .

[40]  Ian Postlethwaite,et al.  Improvements in product quality in tandem cold rolling using robust multivariable control , 1998, IEEE Trans. Control. Syst. Technol..

[41]  Xiu-ling Zhang,et al.  A Novel Method for Flatness Pattern Recognition via Least Squares Support Vector Regression , 2012 .

[42]  Christopher M. Bishop,et al.  Mixtures of Probabilistic Principal Component Analyzers , 1999, Neural Computation.

[43]  Jia Chun-yu A Recognition Method of New Flatness Pattern Containing the Cubic Flatness , 2010 .