CIESC Journal

• 过程系统工程 • 上一篇    下一篇

递归核PCA及其在非线性过程自适应监控中的应用

谢磊; 王树青   

  1. 浙江大学先进控制研究所,工业控制技术国家重点实验室

  • 出版日期:2007-07-05 发布日期:2007-07-05

Recursive kernel PCA and its application in adaptive monitoring of nonlinear processes

XIE Lei;WANG Shuqing   

  • Online:2007-07-05 Published:2007-07-05

摘要:

PCA、PLS作为常用的多变量统计监控算法,一般适用于线性、定常的过程。针对实际工业过程的时变、非线性特性,提出了一种递归核PCA(RKPCA)方法用于非线性过程的自适应监控。RKPCA算法通过将递归奇异值分解推广到核空间,给出了核形式描述的递归KPCA算法,运算复杂度比KPCA明显降低,保证非线性监控模型能够在线更新。在Alstom工业燃气发生装置上的自适应监控表明,所提出的RKPCA算法能够及时跟踪非线性过程的时变特征,保证了监控模型的有效性。

Abstract:

As widely used process monitoring techniques,principal component analysis(PCA)and partial least squares(PLS)are limited to the application in linear and time-invariant systems.To handle the nonlinear and time-varying characteristics of real processes,a recursive kernel PCA(RKPCA)algorithm was proposed for adaptive monitoring of nonlinear processes.By extending the incremental singular value decomposition(SVD)to the kernel space,the kernel formulation of incremental kernel PCA,which possessed much lower computational complexity and was suitable for online model updating,was obtained.Finally,the proposed algorithm was applied to the Alstom gasifier for adaptive monitoring and RKPCA could efficiently capture the time-varying and nonlinear relationship in process variables.