Journal of University of Chinese Academy of Sciences >
Monitoring based on improved OFA-MPCA
Received date: 2008-06-30
Revised date: 2008-07-16
Online published: 2009-03-15
Multiway Principal Component Analysis (MPCA) is a multivariable statistical approach, which can extract several principal components from the numerous of data to express the data information well, and is mainly used in batch process. In practice, for many reasons, the runtime of each batch is different from others so that the effective statistical model can not be built directly. Orthonormal Function Approximation (OFA) is a technique of project transformation based on orthonormal base, after OFA we can use the projection coefficient to express the characteristics of the original data and synchronize the trajectories of each historical batch and reduce the dimension. This paper presents some improvement on the OFA and combined the MPCA to model and monitor the typical batch process——Penicillin fermentation process. The simulation results show that the improved OFA can deal with data more quickly and the improved OFA-MPCA is able to synchronize the trajectories of all the batches, and monitor the batches perfectly.
Key words: orthonormal function approximation; MPCA; batch process; pensim
BIAN Fu-Qiang , GAO Xiang , YUAN Ming-Zhe . Monitoring based on improved OFA-MPCA[J]. Journal of University of Chinese Academy of Sciences, 2009 , 26(2) : 209 -214 . DOI: 10.7523/j.issn.2095-6134.2009.2.009
[1] Nomikos P, MacGregor JF. Monitoring batch process using multi-way principle component analysis. Journal of AICHE, 1994, 40 (8):1361~1369
[2] Shah SL, Randy M, Takada H, et al. Modelling and control of a tubular reactor: A PCA-based approach. In: Proceedings of the 5th IFAC Symposium on Dynamics and Control of Process Systems. Corfu, Greece, 1998. 17~22
[3] Lakshminarayanan S, Guidi RD, Shah SL, et al. Monitoring batch processes using multivariate statistical tools: extensions and practical issues. IFAC Triennial World Cong. San Francisco, 1996. 241~246
[4] Kourti T, MacGregor JF. Multivariate SPC methods for process and product monitoring. Journal of Quality Technology, 1996,28(4):409~427
[5] Kassidas A, MacGregor, et al. Synchronization of batch trajectories using dynamic time warping. Journal of AIChE, 1998, 44 (4): 864~875
[6] Chen JH, Liu JL. Post analysis on different operating time Processes using orthonormal function approximation and multiway principle component analysis. Journal of Process Control, 2000,10 (5):411~418
[7] Chen JH, Liu JL. Multivariate calibration models based on functional space and partial least square for batch processes. IFAC (ChemFas-4) Conference. Chejudo, Korea, 2001. 161~166
[8] Jiang TH, et al. Fault detection and diagnosis in industrial systems. China Machine Press, 2003
[9] Zhang J,Yang XH. Multivariable statistal process control. Chemical Industrial Publication House, 2000
/
| 〈 |
|
〉 |