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Nomenclature
Introduction 1
Motivation and Historical Perspective 2
Outline 4
Univariate Statistical Monitoring Techniques 7
Statistics Concepts 8
Univariate SPM Techniques 11
Shewhart Control Charts 11
Cumulative Sum (CUSUM) Charts 18
Moving Average Monitoring Charts for Individual Measurements 19
Exponentially Weighted Moving Average Chart 22
Monitoring Tools for Autocorreleated Data 22
Monitoring with Charts of Residuals 26
Monitoring with Detecting Changes in Model Parameters 27
Limitations of Univariate Monitoring Techniques 32
Summary 35
Multivariate Statistical Monitoring Techniques 37
Principal Components Analysis 37
Canonical Variates Analysis 43
Independent Component Analysis 43
Contribution Plots 46
Linear Methods for Diagnosis 48
Clustering 48
Discriminant Analysis 50
Fisher's Discriminant Analysis 53
Nonlinear Methods for Diagnosis 58
Neural Networks 58
Kernel-Based Techniques 64
Support Vector Machines 66
Summary 69
Empirical Model Development 73
Regression Models 75
PCA Models 78
PLS Regression Models 79
Input-Output Models of Dynamic Processes 83
State-Space Models 89
Summary 97
Monitoring of Multivariate Processes 99
SPM Methods Based on PCA 100
SPM Methods Based on PLS 105
SPM Using Dynamic Process Models 108
Other MSPM Techniques 112
Summary 114
Characterization of Process Signals 115
Wavelets 115
Fourier Transform 116
Continuous Wavelet Transform 119
Discrete Wavelet Transform 123
Filtering and Outlier Detection 127
Simple Filters 128
Wavelet Filters 131
Robust Filter 133
Signal Representation by Fuzzy Triangular Episodes 135
Development of Markovian Models 138
Markov Chains 139
Hidden Markov Models 141
Wavelet-Domain Hidden Markov Models 145
Summary 147
Process Fault Diagnosis 149
Fault Diagnosis Using Triangular Episodes and HMMs 149
CSTR Simulation 152
Vacuum Column 155
Fault Diagnosis Using Wavelet-Domain HMMs 157
pH Neutralization Simulation 161
CSTR Simulation 164
Fault Diagnosis Using HMMs 166
Case Study of HTST Pasteurization Process 167
Fault Diagnosis Using Contribution Plots 174
Fault Diagnosis with Statistical Methods 179
Fault Diagnosis Using SVM 191
Fault Diagnosis with Robust Techniques 192
Robust Monitoring Strategy 192
Pilot-Scale Distillation Column 198
Summary 202
Sensor Failure Detection and Diagnosis 203
Sensor FDD Using PLS and CVSS Models 204
Real-Time Sensor FDD Using PCA-Based Techniques 215
Methodology 218
Case Study 224
Summary 230
Controller Performance Monitoring 231
Single-Loop Controller Performance Monitoring 233
Multivariable Controller Performance Monitoring 237
CPM for MPC 238
Summary 248
Web and Sheet Processes 251
Traditional Data Analysis 252
MD/CD Decomposition 252
Time Dependent Structure of Profile Data 256
Orthogonal Decomposition of Profile Data 257
Gram Polynomials 259
Principal Components Analysis 262
Flatness of Scanner Data 264
Controller Performance 268
MD Control Performance 269
Model-Based CD Control Performance 271
Summary 274
Bibliography 277
Index 305
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