Model-based Fault Diagnosis Techniques

by Ding, Steven X.

ISBN13: 9783540763031

ISBN10: 3540763031

Format: Paperback

Pub. Date: 2008-04-10

Publisher(s): Springer Verlag

Other versions by this Author

List Price: ~~$116.62~~

Rent Textbook

Select for Price

Add to Cart

There was a problem. Please try again later.

New Textbook

We're Sorry
Sold Out

Used Textbook

We're Sorry
Sold Out

eTextbook

We're Sorry
Not Available

Buy from our Marketplace starting at $88.52

Summary

A most critical and important issue surrounding the design of automatic control systems with the successively increasing complexity is guaranteeing a high system performance over a wide operating range and meeting the requirements on system reliability and dependability. As one of the key technologies for the problem solutions, advanced fault detection and identification (FDI) technology is receiving considerable attention. The objective of this book is to introduce basic model-based FDI schemes, advanced analysis and design algorithms and the needed mathematical and control theory tools at a level for graduate students and researchers as well as for engineers.

Notation	p. XIX
Introduction, basic concepts and preliminaries
Introduction	p. 3
Basic concepts of fault diagnosis technique	p. 4
Historical development and some relevant issues	p. 8
Notes and references	p. 11
Basic ideas, major issues and tools in the observer-based FDI framework	p. 13
On the observer-based residual generator framework	p. 13
Unknown input decoupling and fault isolation issues	p. 14
Robustness issues in the observer-based FDI framework	p. 15
On the parity space FDI framework	p. 17
Residual evaluation and threshold computation	p. 17
FDI system synthesis and design	p. 18
Notes and references	p. 18
Modelling of technical systems	p. 21
Description of nominal system behavior	p. 22
Coprime factorization technique	p. 23
Representations of disturbed systems	p. 25
Representations of system models with model uncertainties	p. 25
Modelling of faults	p. 27
Modelling of faults in closed loop feedback control systems	p. 30
Benchmark examples	p. 31
Speed control of a DC motor	p. 31
Inverted pendulum control system	p. 34
Three tank system	p. 38
Vehicle lateral dynamic system	p. 42
Electrohydraulic Servo-actuator	p. 46
Notes and references	p. 49
Structural fault detectability, isolability and identifiability	p. 51
Structural fault detectability	p. 51
Excitations and sufficiently excited systems	p. 56
Structural fault isolability	p. 57
Concept of structural fault isolability	p. 57
Fault isolability conditions	p. 58
Structural fault identifiability	p. 65
Notes and references	p. 67
Residual generation
Basic residual generation methods	p. 71
Analytical redundancy	p. 72
Residuals and parameterization of residual generators	p. 75
Problems related to residual generator design and implementation	p. 78
Fault detection filter	p. 80
Diagnostic observer scheme	p. 81
Construction of diagnostic observer-based residual generators	p. 81
Characterization of solutions	p. 83
A numerical approach	p. 91
An algebraic approach	p. 95
Parity space approach	p. 97
Construction of parity relation based residual generators	p. 98
Characterization of parity space	p. 100
Examples	p. 102
Interconnections, comparison and some remarks	p. 103
Parity space approach and diagnostic observer	p. 103
Diagnostic observer and residual generator of general form	p. 107
Applications of the interconnections and some remarks	p. 110
Examples	p. 112
Notes and references	p. 114
Perfect unknown input decoupling	p. 115
Problem formulation	p. 115
Existence conditions of PUIDP	p. 117
A general existence condition	p. 117
A check condition via Rosenbrock system matrix	p. 118
Algebraic check conditions	p. 120
A frequency domain approach	p. 125
UIFDF design	p. 128
The eigenstructure assignment approach	p. 128
Geometric approach	p. 132
UIDO design	p. 139
An algebraic approach	p. 140
Unknown input observer approach	p. 142
A matrix pencil approach to the UIDO design	p. 147
A numerical approach to the UIDO design	p. 150
Unknown input parity space approach	p. 153
An alternative scheme - null matrix approach	p. 153
Minimum order residual generator	p. 154
Minimum order residual generator design by geometric approach	p. 154
An alternative solution	p. 156
Notes and references	p. 159
Residual generation with enhanced robustness against unknown inputs	p. 161
Mathematical and control theoretical preliminaries	p. 162
Signal norms	p. 163
System norms	p. 165
Computation of H[subscript 2] and H[subscript infinity] norms	p. 168
Singular value decomposition	p. 169
Co-inner-outer factorization	p. 170
Model matching problem	p. 173
Essentials of the LMI technique	p. 173
Kalman filter based residual generation	p. 174
Approximation of UI-distribution matrix	p. 178
Approximation of matrices E[subscript d], F[subscript d]	p. 178
Approximation of matrices H[subscript d,s]	p. 180
Some remarks	p. 182
Robustness, fault sensitivity and performance indices	p. 184
Robustness and sensitivity	p. 184
Performance indices: robustness vs. sensitivity	p. 185
Relations between the performance indices	p. 186
Optimal selection of parity matrices and vectors	p. 187
S[subscript f,+]/R[subscript d] as performance index	p. 188
S[subscript f,-]/R[subscript d] as performance index	p. 191
J[subscript S-R] as performance index	p. 193
Optimization performance and system order	p. 195
Summary and some remarks	p. 197
H[subscript infinity] optimal fault identification scheme	p. 201
H[subscript 2]/H[subscript 2] design of residual generators	p. 202
Relationship between H[subscript 2]/H[subscript 2] design and optimal selection of parity vectors	p. 206
LMI aided design of FDF	p. 211
H[subscript 2] to H[subscript 2] trade-off design of FDF	p. 213
On H[subscript -] index	p. 218
H[subscript 2] to H[subscript -] trade-off design of FDF	p. 225
H[subscript infinity] to H[subscript -] trade-off design of FDF	p. 227
An alternative H[subscript infinity] to H[subscript -] trade-off design of FDF	p. 229
A brief summary and discussion	p. 232
The unified solution	p. 232
H[subscript i]/H[subscript infinity] index and problem formulation	p. 233
H[subscript i]/H[subscript infinity] optimal design of FDF: the standard form	p. 234
Discrete time version of the unified solution	p. 237
The general form of the unified solution	p. 238
Extended CIOF	p. 238
Generalization of the unified solution	p. 240
Notes and references	p. 244
Residual generation with enhanced robustness against model uncertainties	p. 247
Preliminaries	p. 248
LMI aided computation for system bounds	p. 248
Stability of stochastically uncertain systems	p. 249
Transforming model uncertainties into unknown inputs	p. 250
Reference model strategies	p. 252
Basic idea	p. 252
A reference model based solution for systems with norm bounded uncertainties	p. 252
Residual generation for systems with polytopic uncertainties	p. 259
The reference model scheme based scheme	p. 259
H[subscript -] to H[subscript infinity] design formulation	p. 263
Residual generation for stochastically uncertain systems	p. 265
System dynamics and statistical properties	p. 266
Basic idea and problem formulation	p. 266
An LMI solution	p. 267
An alternative approach	p. 274
Notes and references	p. 276
Residual evaluation and threshold computation
Norm based residual evaluation and threshold computation	p. 281
Preliminaries	p. 282
Basic concepts	p. 284
Some standard evaluation functions	p. 285
Basic ideas of threshold setting and problem formulation	p. 287
Dynamics of the residual generator	p. 288
Definitions of thresholds and problem formulation	p. 289
Computation of J[subscript th,RMS,2]	p. 291
Computation of J[subscript th,RMS,2] for the systems with the norm bounded uncertainty	p. 292
Computation of J[subscript th,RMS,2] for the systems with the polytopic uncertainty	p. 295
Computation of J[subscript th,peak,peak]	p. 297
Computation of J[subscript th,peak,peak] for the systems with the norm bounded uncertainty	p. 297
Computation of J[subscript th,peak,peak] for the systems with the polytopic uncertainty	p. 301
Computation of J[subscript th,peak,2]	p. 302
Computation of J[subscript th,peak,2] for the systems with the norm bounded uncertainty	p. 302
Computation of J[subscript th,peak,2] for the systems with the polytopic uncertainty	p. 305
Threshold generator	p. 307
Notes and references	p. 310
Statistical methods based residual evaluation and threshold setting	p. 311
Introduction	p. 311
Elementary statistical methods	p. 312
Basic hypothesis test	p. 312
Likelihood ratio and generalized likelihood ratio	p. 314
Vector-valued GLR	p. 316
Detection of change in variance	p. 317
Aspects of on-line realization	p. 318
Criteria for threshold computation	p. 320
The Neyman-Pearson criterion	p. 320
Maximum a posteriori probability (MAP) criterion	p. 321
Bayes' criterion	p. 322
Some remarks	p. 323
Application of GLR testing methods	p. 324
Kalman filter based fault detection	p. 324
Parity space based fault detection	p. 330
Notes and references	p. 333
Integration of norm based and statistical methods	p. 335
Residual evaluation in stochastic systems with deterministic disturbances	p. 335
Residual generation	p. 336
Problem formulation	p. 337
GLR solutions	p. 338
Discussion and example	p. 341
Residual evaluation scheme for stochastically uncertain systems	p. 343
Problem formulation	p. 343
Solution and design algorithms	p. 345
Probabilistic robustness technique aided threshold computation	p. 356
Problem formulation	p. 356
Outline of the basic idea	p. 358
LMIs needed for the solutions	p. 359
Problem solutions in the probabilistic framework	p. 360
An application example	p. 362
Concluding remarks	p. 364
Notes and references	p. 364
Fault detection, isolation and identification schemes
Integrated design of fault detection systems	p. 369
FAR and FDR	p. 370
Maximization of fault detectability by a given FAR	p. 373
Problem formulation	p. 374
Essential form of the solution	p. 374
A general solution	p. 376
Interconnections and comparison	p. 378
Examples	p. 382
Minimizing false alarm number by a given FDR	p. 386
Problem formulation	p. 387
Essential form of the solution	p. 388
The state space form	p. 390
The extended form	p. 391
Interpretation of the solutions and discussion	p. 393
An example	p. 396
On the application to stochastic systems	p. 398
Application to maximizing FDR by a given FAR	p. 398
Application to minimizing FAR by a given FDR	p. 399
Notes and references	p. 399
Fault isolation schemes	p. 403
Essentials	p. 404
Existence conditions for a perfect fault isolation	p. 404
PFIs and unknown input decoupling	p. 406
PFIs with unknown input decoupling (PFIUID)	p. 409
A frequency domain approach	p. 410
Fault isolation filter design	p. 412
A design approach based on the duality to decoupling control	p. 412
The geometric approach	p. 415
A generalized design approach	p. 417
An algebraic approach to fault isolation	p. 426
Fault isolation using a bank of residual generators	p. 431
The dedicated observer scheme (DOS)	p. 432
The generalized observer scheme (GOS)	p. 435
Notes and references	p. 438
On fault identification	p. 441
Fault identification filter and perfect fault identification	p. 442
FIF design with additional information	p. 445
On the optimal fault identification problem	p. 448
Study on the role of the weighting matrix	p. 450
Approaches to the design of FIF	p. 456
A general fault identification scheme	p. 456
An alternative fault detection scheme	p. 457
Identification of the size of a fault	p. 458
Notes and references	p. 460
References	p. 463
Index	p. 471
Table of Contents provided by Ingram. All Rights Reserved.

Men

Women

For You

For Your Car

Holiday

Mascot

General Supplies

School Supplies

Model-based Fault Diagnosis Techniques

Rent Textbook

New Textbook

Used Textbook

eTextbook

Summary

Table of Contents

Model-based Fault Diagnosis Techniques

Rent Textbook

New Textbook

Used Textbook

eTextbook

How Marketplace Works:

Summary

Table of Contents

Digital License