Solving fault diagnosis problems: linear synthesis techniques
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham
Springer
2017
|
| Series: | Studies in Systems, Decision and Control
84 |
| Subjects: | |
| Online Access: | BTU01 FAB01 FAW01 FHA01 FHI01 FHN01 FHR01 FKE01 FLA01 FRO01 FWS01 FWS02 TUM01 UBY01 Volltext Inhaltsverzeichnis |
| Physical Description: | 1 Online-Ressource (xxviii, 394 Seiten) Illustrationen |
| ISBN: | 9783319515595 |
| ISSN: | 2198-4182 |
| DOI: | 10.1007/978-3-319-51559-5 |
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Record in the Search Index
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| adam_text | Titel: Solving fault diagnosis problems
Autor: Varga, Andreas
Jahr: 2017
Contents
Part I Basics of Fault Diagnosis
1 Introduction............................................. 3
1.1 Linear Synthesis Techniques for Fault Diagnosis............ 3
1.2 Outline of the Book.................................. 5
1.3 Notes and References................................. 6
2 Modelling Systems with Faults.............................. 7
2.1 Types of Faults...................................... 8
2.2 Plant Models with Additive Faults....................... 9
2.2.1 Models with Parametric Uncertainties.............. 12
2.2.2 Models with Parametric Faults................... 16
2.2.3 Multiple Linear Models......................... 19
2.3 Physical Fault Models................................. 22
2.4 Notes and References................................. 24
3 Fault Diagnosis.......................................... 27
3.1 Basic Fault Monitoring Tasks........................... 27
3.2 Residual Generation.................................. 30
3.3 Fault Detectability.................................... 31
3.4 Fault Isolability...................................... 38
3.5 Fault Detection and Isolation Problems.................... 43
3.5.1 Exact Fault Detection Problem................... 44
3.5.2 Approximate Fault Detection Problem.............. 45
3.5.3 Exact Fault Detection and Isolation Problem......... 46
3.5.4 Approximate Fault Detection and Isolation
Problem..................................... 47
3.5.5 Exact Model-Matching Problem.................. 49
3.5.6 Approximate Model-Matching Problem............. 51
3.6 Threshold Selection.................................. 51
3.7 Notes and References................................. 55
xii Contents
4 Model Detection.......................................... 57
4.1 Basic Model Detection Task............................ 57
4.2 Residual Generation.................................. 59
4.3 Model Detectability.................................. 60
4.4 Model Detection Problems............................. 63
4.4.1 Exact Model Detection Problem.................. 63
4.4.2 Approximate Model Detection Problem............. 64
4.5 Threshold Selection.................................. 64
4.6 Notes and References................................. 66
Part H Synthesis of Residual Generators
5 Synthesis of Fault Detection and Isolation Filters............... 71
5.1 Nullspace-Based Synthesis............................. 72
5.2 Solving the Exact Fault Detection Problem................ 76
5.3 Solving the Approximate Fault Detection Problem........... 82
5.4 Solving the Exact Fault Detection and Isolation Problem...... 93
5.5 Solving the Approximate Fault Detection and Isolation
Problem........................................... 101
5.6 Solving the Exact Model-Matching Problem............... 107
5.7 Solving the Approximate Model-Matching Problem.......... 113
5.8 Notes and References................................. 122
6 Synthesis of Model Detection Filters......................... 127
6.1 Nullspace-Based Synthesis............................. 127
6.2 Solving the Exact Model Detection Problem............... 129
6.3 Solving the Approximate Model Detection Problem.......... 136
6.4 Notes and References................................. 145
7 Computational Issues..................................... 147
7.1 Developing Satisfactory Numerical Algorithms............. 148
7.2 Modelling Issues..................................... 150
7.2.1 System Representations......................... 151
7.2.2 Model Conditioning............................ 154
7.3 Basic Procedural Framework........................... 159
7.4 Nullspace-Based Reduction............................. 162
7.5 Least-Order Synthesis................................. 171
7.6 Coprime Factorization Techniques....................... 179
7.7 Outer-Inner Factorizations............................. 182
7.8 Spectral Factorizations................................ 187
7.9 Linear Rational Equations.............................. 189
7.10 Solution of Least Distance Problems..................... 191
7.11 Notes and References................................. 197
Contents xiii
8 Case Studies............................................. 201
8.1 Monitoring Flight Actuator Faults....................... 202
8.1.1 Nominal Synthesis............................. 203
8.1.2 Robust Synthesis Using Local Measurements........ 212
8.1.3 Local Monitoring of Actuator Faults-Industrial
Aspects..................................... 216
8.1.4 Linearized State-Space Models with Additive
Actuator Faults............................... 221
8.2 Monitoring Air Data Sensor Faults....................... 226
8.2.1 Robust LTI FDI Filter Synthesis.................. 227
8.2.2 Robust LPV FDI Filter Synthesis................. 236
8.2.3 Monitoring Air Data Sensor Faults-Industrial
Aspects..................................... 242
8.2.4 Linearized State-Space Models with Additive
Sensor Faults................................. 243
8.3 Notes and References................................. 245
Part III Background Material
9 System Theoretical Concepts............................... 249
9.1 Rational Transfer Function Matrices...................... 249
9.1.1 Transfer Functions............................. 250
9.1.2 Transfer Function Matrices...................... 251
9.1.3 Linear Dependence, Normal Rank, Minimal Basis .... 252
9.1.4 Poles and Zeros............................... 255
9.1.5 Additive Decompositions........................ 258
9.1.6 Fractional Factorizations........................ 259
9.1.7 Norms...................................... 262
9.1.8 Inner-Outer and Spectral Factorizations............ 263
9.1.9 Linear Rational Matrix Equations................. 265
9.1.10 Approximate Model-Matching.................... 266
9.2 Descriptor Systems................................... 269
9.2.1 Descriptor Realizations of Rational Matrices......... 270
9.2.2 Poles, Zeros and Minimal Indices................. 271
9.2.3 Operations with Rational Matrices................. 277
9.2.4 Minimal Rational Nullspace Bases................ 280
9.2.5 Additive Decompositions........................ 283
9.2.6 Coprime Factorizations......................... 283
9.2.7 Norms...................................... 287
9.2.8 Inner-Outer and Spectral Factorizations............ 289
9.2.9 Linear Rational Equations....................... 292
9.3 Notes and References................................. 297
xiv Contents
10 Computational Algorithms and Software..................... 299
10.1 Matrix Decompositions and Condensed Forms.............. 299
10.1.1 Singular Value Decomposition................... 300
10.1.2 QR Decomposition............................ 302
10.1.3 Real Schur Decomposition...................... 305
10.1.4 Generalized Real Schur Decomposition............. 307
10.1.5 Controllability and Observability Staircase Forms..... 311
10.1.6 Kronecker-Like Forms.......................... 315
10.2 Solution of Matrix Equations ........................... 321
10.2.1 Linear Matrix Equations........................ 321
10.2.2 Generalized Algebraic Riccati Equations............ 323
10.3 Algorithms for Descriptor Systems....................... 325
10.3.1 Minimal Realization........................... 325
10.3.2 Minimal Proper Rational Nullspace Bases........... 329
10.3.3 Poles and Zeros Computation.................... 337
10.3.4 Additive Decompositions........................ 337
10.3.5 Coprime Factorizations......................... 339
10.3.6 Inner-Outer Factorization....................... 346
10.3.7 Linear Rational Matrix Equations................. 351
10.4 Special Algorithms................................... 357
10.4.1 Special Controllability Staircase Form Algorithm..... 357
10.4.2 Order Reduction Using Minimum Dynamic
Covers of Type 1.............................. 360
10.4.3 Order Reduction Using Minimum Dynamic
Covers of Type JJ............................. 366
10.4.4 Minimal Realization Using Balancing Techniques..... 371
10.4.5 Solution of Nehari Problems..................... 372
10.5 Numerical Software.................................. 374
10.6 Notes and References................................. 377
References.................................................. 381
Index...................................................... 389
|
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| discipline | Elektrotechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik Maschinenbau |
| doi_str_mv | 10.1007/978-3-319-51559-5 |
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| series | Studies in Systems, Decision and Control |
| series2 | Studies in systems, decision and control |
| spellingShingle | Varga, Andreas Solving fault diagnosis problems linear synthesis techniques Studies in Systems, Decision and Control Engineering System theory Applied mathematics Engineering mathematics Control engineering Control Appl.Mathematics/Computational Methods of Engineering Systems Theory, Control Ingenieurwissenschaften |
| title | Solving fault diagnosis problems linear synthesis techniques |
| title_auth | Solving fault diagnosis problems linear synthesis techniques |
| title_exact_search | Solving fault diagnosis problems linear synthesis techniques |
| title_full | Solving fault diagnosis problems linear synthesis techniques Andreas Varga |
| title_fullStr | Solving fault diagnosis problems linear synthesis techniques Andreas Varga |
| title_full_unstemmed | Solving fault diagnosis problems linear synthesis techniques Andreas Varga |
| title_short | Solving fault diagnosis problems |
| title_sort | solving fault diagnosis problems linear synthesis techniques |
| title_sub | linear synthesis techniques |
| topic | Engineering System theory Applied mathematics Engineering mathematics Control engineering Control Appl.Mathematics/Computational Methods of Engineering Systems Theory, Control Ingenieurwissenschaften |
| topic_facet | Engineering System theory Applied mathematics Engineering mathematics Control engineering Control Appl.Mathematics/Computational Methods of Engineering Systems Theory, Control Ingenieurwissenschaften |
| url | https://doi.org/10.1007/978-3-319-51559-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029612853&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV041646147 |
| work_keys_str_mv | AT vargaandreas solvingfaultdiagnosisproblemslinearsynthesistechniques |