1. Nonlinear dynamic process monitoring using kernel CVA
Raphael T. Samuel
Supervisors - Dr Yi Cao, Dr Giorgos Kopanos
Cranfield University
UKACC PhD Presentation Showcase, London, 24 November 2015

2. UKACC PhD Presentation Showcase, London, 24 November 2015
Outline
Background and motivation
Methodology
Application study
Conclusion
UKACC PhD Presentation Showcase, London, 24 November 2015

3. Background and motivation
Effective monitoring to timely detect abnormal process conditions improve plant operation, safety, and product quality.
Mathematical models used for this purpose are difficult to develop in large complex processes.
Data-driven approaches are an alternative in such cases.
Linear and static assumptions of traditional statistical algorithms and their extensions show limited performance in monitoring nonlinear dynamic processes.
Kernel-based dynamic approaches have received limited attention in the literature despite their potential.
UKACC PhD Presentation Showcase, London, 24 November 2015

4. Methodology Obtain past and future matrices
Data
Kernel Function
Kernel Matrix
Kernel PCs
Calculate monitoring statistics and control limits
Compute state variables & residuals
Obtain past and future matrices
Calculate transformation matrices
UKACC PhD Presentation Showcase, London, 24 November 2015

5. UKACC PhD Presentation Showcase, London, 24 November 2015
Application study
Monitoring results for Fault 3 (step change in D feed temp)
Tennessee Eastman process
(a)
(b)
(c)
Control charts (a) DKPCA (b) CVA-KDE (c ) KCVA
UKACC PhD Presentation Showcase, London, 24 November 2015

6. UKACC PhD Presentation Showcase, London, 24 November 2015
Conclusion
A novel CVA algorithm using kernel PCs as collected data has been developed.
The approached out-performed the DKPCA and CVA with KDE.
Performing CVA on a reduced kernel component space prevents singularity problems and precludes the need for regularisation.
Study on adapting the developed method to monitor processes with multiple operating modes is ongoing.
UKACC PhD Presentation Showcase, London, 24 November 2015