Advances in sliding mode control: concept, theory and implementation
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Heidelberg [u.a.]
Springer
2013
|
| Schriftenreihe: | Lecture notes in control and information sciences
440 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XXII, 379 S. Ill., graph. Darst. 235 mm x 155 mm |
| ISBN: | 3642369855 9783642369858 |
Internformat
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| 490 | 1 | |a Lecture notes in control and information sciences |v 440 | |
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
1 COMPREHENSIVE APPROACH TO SLIDING MODE DESIGN AND ANALYSIS IN LINEAR
SYSTEMS 1
BRANISLAVA DRAZENOVIC, CEDOMIR MILOSAVLJEVIC, BOBAN VESELIC 1.1
INTRODUCTION 1
1.1.1 PREVIOUS APPROACHES 2
1.1.2 MOTIVATION 4
1.2 COMMON MODEL OF CONTINUOUS AND DISCRETE-TIME SM DYNAMICS 5
1.3 THE DESIGN OF SM SUBSPACE 7
1.3.1 DESIGN AIMS AND PHILOSOPHY 7
1.3.2 SM WITH GIVEN SPECTRUM FOR REDUCED AND FULL ORDER DYNAMICS 7
1.3.3 SM WITH OPTIMAL BEHAVIOR FOR REDUCED AND FULL ORDER DYNAMICS 9
1.4 SM STATE SPACE EQUATIONS 11
1.5 EXAMPLES AND SIMULATIONS 13
1.6 CONCLUSIONS 18
REFERENCES 18
2 ADAPTIVE SLIDING MODE CONTROL 21
VADIML. UTKIN, ALEXANDER S. POZNYAK 2.1 INTRODUCTION 22
2.1.1 BRIEF SURVEY 22
2.1.2 OBJECTIVE AND THE DESIGN IDEA 23
2.1.3 MAIN CONTRIBUTION 24
2.2 THE A-ADAPTATION METHOD 24
2.2.1 SYSTEM DESCRIPTION, MAIN ASSUMPTIONS AND RESTRICTIONS 24
2.2.2 REAL AND IDEAL SLIDING MODES 25
2.2.3 FIRST ADAPTIVE SLIDING MODE CONTROL LAW 26
2.2.4 SECOND ADAPTIVE SLIDING MODE CONTROL LAW 27
2.2.5 ON THE E - PARAMETER TUNING 31
HTTP://D-NB.INFO/1031151060
IMAGE 2
XII
CONTENTS
2.3 THE DYNAMIC ADAPTATION BASED ON THE EQUIVALENT CONTROL
METHOD 31
2.3.1 SIMPLE ILLUSTRATIVE EXAMPLE EXPLAINING THE MAIN IDEA OF THE METHOD
31
2.3.2 MAIN ASSUMPTIONS 35
2.3.3 ADAPTATION ALGORITHM IN SLIDING MODE 37
2.4 ADAPTIVE SUPER-TWIST CONTROL 42
2.4.1 MAIN PROPERTIES OF THE STANDARD SUPER TWIST WITHOUT ADAPTATION 42
2.4.2 SUPER-TWIST CONTROL WITH ADAPTATION 46
2.4.3 CONCLUSIONS 51
REFERENCES 52
3 DECENTRALISED VARIABLE STRUCTURE CONTROL FOR TIME DELAY INTERCONNECTED
SYSTEMS 55
XING-GANG YAN, SARAH K. SPURGEON 3.1 INTRODUCTION 55
3.1.1 INTERCONNECTED SYSTEMS 56
3.1.2 DECENTRALISED OUTPUT FEEDBACK CONTROL 56
3.1.3 TIME DELAY IN INTERCONNECTED SYSTEMS 57
3.1.4 CONTRIBUTION 58
3.2 PRELIMINARIES 59
3.2.1 NOTATION 59
3.2.2 BASIC RESULTS 59
3.3 SYSTEM DESCRIPTION AND BASIC ASSUMPTIONS 61
3.3.1 INTERCONNECTED SYSTEM DESCRIPTION 61
3.3.2 ASSUMPTIONS 62
3.3.3 PROBLEM STATEMENT 62
3.4 DECENTRALISED DELAY INDEPENDENT CONTROL 63
3.4.1 DESIGNED CONTROL 63
3.4.2 MAIN RESULT 63
3.5 DECENTRALISED CONTROL SYNTHESISED FOR SQUARE CASE 67
3.5.1 CONTROLLER DESIGN 67
3.5.2 MAIN RESULT 68
3.6 CASE STUDY-RIVER POLLUTION CONTROL PROBLEM 70
3.7 CONCLUSIONS 73
REFERENCES 73
4 ON THE SECOND ORDER SLIDING MODE APPROACH TO DISTRIBUTED AND BOUNDARY
CONTROL OF UNCERTAIN PARABOLIC PDES 75
Y. ORLOV, A. PISANO, E. USAI 4.1 INTRODUCTION 76
4.2 DISTRIBUTED CONTROL OF REACTION-DIFFUSION PROCESSES 78
4.2.1 PROBLEM FORMULATION 78
4.2.2 SUPER-TWISTING BASED SYNTHESIS 79
4.2.3 NUMERICAL SIMULATIONS 86
IMAGE 3
CONTENTS XIII
4.3 BOUNDARY CONTROL OF UNCERTAIN DIFFUSION PROCESSES 87
4.3.1 PROBLEM FORMULATION 87
4.3.2 TWISTING BASED SYNTHESIS 89
4.3.3 SIMULATIONS 92
4.4 CONCLUSIONS 93
REFERENCES 94
5 PRACTICAL RELATIVE DEGREE APPROACH IN SLIDING-MODE CONTROL 97
ARIE LEVANT 5.1 INTRODUCTION 97
5.2 HOMOGENEOUS SLIDING MODE CONTROL 99
5.2.1 STANDARD SISO REGULATION PROBLEM 99
5.2.2 HOMOGENEOUS SLIDING MODES 100
5.2.3 ARBITRARY ORDER SLIDING MODE CONTROLLERS 102
5.3 ARBITRARY ORDER ROBUST EXACT DIFFERENTIATION 104
5.3.1 STANDARD ARBITRARY-ORDER ROBUST EXACT DIFFERENTIATOR. 104 5.3.2
HOMOGENEOUS TRACKING DIFFERENTIATOR 105
5.4 PRACTICAL RELATIVE DEGREE CONCEPT 106
5.4.1 PRACTICAL RELATIVE DEGREE (PRD) DEFINITION 106
5.4.2 PRD IDENTIFICATION 108
5.4.3 PRD FEATURES 109
5.5 SIMULATION AND APPLICATIONS 110
5.5.1 DISTURBED-KINEMATIC-CAR-MODEL CONTROL 110
5.5.2 PRACTICAL CONTROL OF GLUCOSE BLOOD CONCENTRATION 113
5.6 CONCLUSIONS 113
REFERENCES 114
6 HIGHER ORDER SLIDING MODE BASED ACCURATE TRACKING OF UNMATCHED
PERTURBED OUTPUTS 117
LEONID FRIDMAN, ANTONIO ESTRADA, ALEJANDRA FERREIRA DE LOZA 6.1
INTRODUCTION 117
6.2 HOSM BASED UNMATCHED UNCERTAINTIES COMPENSATION 119
6.2.1 BLACK BOX CONTROL VIA HOSM 120
6.2.2 MODEL BASED APPLICATION OF HOSM 121
6.2.3 HIERACHICAL DESIGN USING INTEGRAL HOSM APPROACH . 126 6.2.4
EXACT UNMATCHED UNCERTAINTIES COMPENSATION BASED ON HOSM OBSERVATION 132
6.2.5 CONCLUSIONS 142
REFERENCES 142
7 HIGHER ORDER SLIDING MODE CONTROL BY KEEPING A 2-SLIDING CONSTRAINT
145
PRASIDDH TRIVEDI, BIJNAN BANDYOPADHYAY 7.1 INTRODUCTION 145
7.1.1 HIGHER ORDER SLIDING MODE CONTROL 146
IMAGE 4
XIV
CONTENTS
7.2 THIRD ORDER SLIDING VIA NON-SINGULAR TERMINAL SWITCHING
FUNCTION 147
7.2.1 TRIPLE INTEGRATOR WITHOUT UNCERTAINTIES 148
7.2.2 UNCERTAIN TRIPLE INTEGRATOR 152
7.3 EXTENSION TO HIGHER ORDER SLIDING 153
7.4 SIMULATION EXAMPLES 155
7.5 CONCLUSION 160
7.6 APPENDIX 160
7.6.1 THE SWITCHING CONSTRAINTS AND ITS DERIVATIVES 160
REFERENCES 162
8 APPLYING SLIDING MODE TECHNIQUE TO FILTER AND CONTROLLER DESIGN FOR
NONLINEAR POLYNOMIAL STOCHASTIC SYSTEMS 165
MICHAEL BASIN, PABLO RODRIGUEZ-RAMIREZ 8.1 INTRODUCTION 165
8.2 FILTERING PROBLEM STATEMENT 167
8.3 SLIDING MODE MEAN-SQUARE FILTER DESIGN 168
8.3.1 EXAMPLE 1 170
8.4 SLIDING MODE MEAN-MODULE FILTER DESIGN 172
8.4.1 EXAMPLE 2 173
8.5 MEAN-SQUARE CONTROLLER DESIGN 176
8.5.1 SEPARATION PRINCIPLE 176
8.5.2 CONTROLLER DESIGN 178
8.5.3 EXAMPLE 180
REFERENCES 183
9 A REVIEW ON SELF-OSCILLATING RELAY FEEDBACK SYSTEMS AND ITS
APPLICATION TO UNDERACTUATED SYSTEMS WITH DEGREE OF UNDERACTUATION ONE 1
87
LUIS T. AGUILAR, IGOR BOIKO, LEONID FRIDMAN, RAFAEL IRIARTE 9.1
INTRODUCTION 187
9.2 PROBLEM STATEMENT 189
9.3 METHODOLOGIES REVIEW 190
9.3.1 DESCRIBING FUNCTION 190
9.3.2 LOCUS OF A PERTURBED RELAY SYSTEM DESIGN (LPRS) 192
9.3.3 POINCARE-MAP-BASED DESIGN 194
9.4 LINEARIZED-POINCARE-MAP-BASED ANALYSIS OF ORBITAL STABILITY . 197
9.5 ROBUST CONTROL DESIGN 198
9.5.1 CASE OF STUDY: INERTIA WHEEL PENDULUM 200
9.6 COMMENTS 202
REFERENCES 203
10 DESIGN OF SLIDING MODE CONTROLLER WITH ACTUATOR SATURATION 207
DEEPAK FULWANI, BIJNAN BANDYOPADHYAY 10.1 INTRODUCTION 207
10.2 SYSTEM DESCRIPTION AND PROBLEM STATEMENT 208
10.3 DESIGN OF SWITCHING FUNCTION 209
IMAGE 5
CONTENTS
XV
10.4 EFFECT OF ACTUATOR SATURATION 211
10.5 PARAMETRIC LYAPUNOV BASED APPROACH TO DESIGN SWITCHING FUNCTION 212
10.6 SIMULATION STUDIES 214
10.7 CONCLUSION 218
REFERENCES 218
11 QUANTIZATION BEHAVIORS IN EQUIVALENT-CONTROL BASED SLIDING-MODE
CONTROL SYSTEMS 221
YAN YAN, XINGHUO YU 11.1 INTRODUCTION 221
1 1.2 PROBLEM STATEMENT 223
11.2.1 SYSTEM DESCRIPTION 223
11.2.2 THE QUANTIZATION SCHEMES AND THE EFFECT OF QUANTIZATION TO SYSTEM
STATE 223
11.2.3 THE EQUIVALENT-CONTROL BASED SMC SYSTEM WITH QUANTIZED STATE
FEEDBACK 226
11.3 QUANTIZATION BEHAVIOR ANALYSIS 227
11.3.1 THE EQUIVALENT-CONTROL BASED SMC SYSTEM WITH UNIFORM QUANTIZED
STATE FEEDBACK 228
11.3.2 THE EQUIVALENT-CONTROL BASED SMC SYSTEM WITH LOGARITHMIC
QUANTIZED STATE FEEDBACK 233
11.4 SIMULATION STUDIES 234
11.5 CONCLUSION 239
REFERENCES 239
12 ON DISCONTINUOUS OBSERVERS FOR SECOND ORDER SYSTEMS: PROPERTIES,
ANALYSIS AND DESIGN 243
JAIME A. MORENO 12.1 INTRODUCTION AND PROBLEM STATEMENT 243
12.1.1 OBJECTIVES 244
12.1.2 SIMULATION EXAMPLE 245
12.2 THE PROPOSED OBSERVER: DESIGN METHOD AND PROPERTIES 248
12.2.1 THE GENERALIZED SUPER-TWISTING OBSERVER (GSTO) 249 12.2.2
OBSERVER DESIGN 250
12.2.3 DISCUSSION OF THE OBSERVER AND ITS PROPERTIES 251
12.3 SIMULATION EXAMPLE (CONTINUED) 253
12.3.1 SUPER-TWISTING OBSERVER 253
12.3.2 GENERALIZED SUPER-TWISTING OBSERVERS 254
12.4 PROOFS OF THE MAIN RESULTS 256
12.4.1 THE CONVERGENCE PROOF USING A QUADRATIC LYAPUNOV FUNCTION 256
12.4.2 ABOUT THE CONVERGENCE VELOCITY OF THE ERROR 259
12.4.3 ABOUT THE RESTRICTIONS ON THE PERTURBATIONS 261
12.4.4 ON THE CONVERGENCE UNIFORM IN THE INITIAL CONDITIONS . . 262
12.4.5 THE EFFECT OF A NON VANISHING PERTURBATION 5I 263
IMAGE 6
XVI
CONTENTS
12.5 CONCLUSIONS 263
REFERENCES 264
13 MULTIRATE FUNCTIONAL OBSERVER BASED DISCRETE-TIME SLIDING MODE
CONTROL 267
S. JANARDHANAN, NEELI SATYANARAYANA 13.1 INTRODUCTION 267
13.2 FUNCTIONAL OBSERVERS 269
13.2.1 LINEAR TIME-INVARIANT SYSTEMS WITHOUT UNCERTAINTY 269 13.2.2
LINEAR TIME-INVARIANT SYSTEMS WITH UNCERTAINTY 270
13.2.3 PROBLEMS WITH OBSERVERS 271
13.3 MULTIRATE OUTPUT SAMPLING 271
13.3.1 RELATIONSHIP BETWEEN SYSTEM STATE AND FAST OUTPUT 272
13.3.2 ADVANTAGES OF MULTIRATE OUTPUT SAMPLING 273
13.4 MOTIVATION OF MULTIRATE OUTPUT SAMPLING BASED FUNCTIONAL ESTIMATION
273
13.5 DISCRETE-TIME SLIDING MODE CONTROL 274
13.6 MULTIRATE OUTPUT FEEDBACK BASED DISCRETE-TIME SLIDING MODE
CONTROLLER FOR LTI SYSTEMS WITH UNCERTAINTY 275
13.7 NUMERICAL EXAMPLE AND SIMULATION RESULTS 277
13.7.1 CONCLUSIONS 279
REFERENCES 280
14 OBSERVERS WITH DISCRETE-TIME MEASUREMENTS IN THE SLIDING MODE
OUTPUT-FEEDBACK STABILIZATION OF NONLINEAR SYSTEMS 283
ELISABETTA PUNTA 14.1 INTRODUCTION 283
14.2 PROBLEM STATEMENT 284
14.2.1 THE INTRODUCTION OF INTEGRATORS IN THE INPUT CHANNEL . 285
14.3 NONLINEAR OBSERVER WITH CONTINUOUS TIME MEASUREMENT 287
14.4 NONLINEAR OBSERVER WITH DISCRETE-TIME MEASUREMENT 288
14.5 EXAMPLE 292
14.6 CONCLUSIONS 296
REFERENCES 297
15 DISCRETE-TIME SLIDING-MODE-BASED DIFFERENTIATION 299
ARIE LEVANT, MIKI LIVNE 15.1 INTRODUCTION 299
15.2 DISCRETE-TIME DIFFERENTIATION 300
15.2.1 DISCRETE-TIME DIFFERENTIATION AND HOMOGENEITY 300
15.2.2 ASYMPTOTIC ACCURACY OF DISCRETE-TIME HOSM DIFFERENTIATOR WITH
CONSTANT SAMPLING INTERVALS 302
15.2.3 VARIABLE SAMPLING INTERVALS 304
15.3 SIMULATION RESULTS 307
15.4 CONCLUSIONS 310
REFERENCES 311
IMAGE 7
CONTENTS XVII
16 SLIDING MODE CONTROL IN HEAVY VEHICLE SAFETY 313
H. IMINE, L. FRIDMAN 16.1 INTRODUCTION 313
16.2 SYSTEM MODELLING 315
16.3 PERTURBATIONS AND PARAMETERS IDENTIFICATION 318
16.3.1 PERTURBATIONS IDENTIFICATION 320
16.3.2 PARAMETERS IDENTIFICATION 321
16.4 SLIDING MODE OBSERVER FOR RISK PREDICTION 322
16.5 EXPERIMENTAL RESULTS 323
16.5.1 DESCRIPTION OF THE TEST BENCH 323
16.5.2 INFRASTRUCTURE MEASUREMENTS 325
16.5.3 TEST RESULTS 326
16.6 CONCLUSION 337
REFERENCES 338
17 APPLICATIONS OF SLIDING OBSERVERS FOR FDI IN AEROSPACE SYSTEMS .
341 CHRISTOPHER EDWARDS, HALIM ALWI, PRATHYUSH P. MENON 17.1
INTRODUCTION 341
17.2 ACTUATOR JAM PROBLEM 343
17.2.1 MODELING OF HYDRAULIC ACTUATOR USING LPV 343
17.2.2 SLIDING MODE OBSERVER 344
17.2.3 SIMULATION 346
17.3 OFC PROBLEM 346
17.3.1 MODELING OF HYDRAULIC ACTUATOR 346
17.3.2 OFC MODELING 348
17.3.3 OFC ESTIMATION 348
17.3.4 SIMULATIONS 351
17.4 AN OBSERVER DESIGN FOR A LEADER/FOLLOWER SATELLITE FORMATION .
354 17.5 CONCLUSIONS 358
REFERENCES 359
18 SWITCHING DSM CONTROL OF PERISHABLE INVENTORY SYSTEMS WITH DELAYED
SHIPMENTS AND UNCERTAIN DEMAND 361
PRZEMYSLAW IGNACIUK, ANDRZEJ BARTOSZEWICZ 18.1 INTRODUCTION 361
18.2 PROBLEM STATEMENT 363
18.3 DSM INVENTORY CONTROL POLICY 365
18.3.1 SWITCHING FUNCTION DESIGN 365
18.3.2 DSM CONTROLLER 367
18.3.3 PROPERTIES OF THE PROPOSED CONTROL SYSTEM 367
18.4 SIMULATION EXAMPLES 372
18.5 CONCLUSIONS 377
REFERENCES 378
AUTHOR INDEX 381 |
| any_adam_object | 1 |
| author2 | Bandyopadhyay, Bijnan |
| author2_role | edt |
| author2_variant | b b bb |
| author_facet | Bandyopadhyay, Bijnan |
| building | Verbundindex |
| bvnumber | BV040980748 |
| classification_rvk | SI 845 |
| ctrlnum | (OCoLC)843412186 (DE-599)DNB1031151060 |
| dewey-full | 629.83 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.83 |
| dewey-search | 629.83 |
| dewey-sort | 3629.83 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Book |
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| indexdate | 2024-08-03T00:37:58Z |
| institution | BVB |
| isbn | 3642369855 9783642369858 |
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| physical | XXII, 379 S. Ill., graph. Darst. 235 mm x 155 mm |
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| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | Advances in sliding mode control concept, theory and implementation Bijnan Bandyopadhyay ... (eds.) Heidelberg [u.a.] Springer 2013 XXII, 379 S. Ill., graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 440 Includes bibliographical references and index Sliding-Mode (DE-588)4320090-4 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Sliding-Mode (DE-588)4320090-4 s DE-604 Bandyopadhyay, Bijnan edt Erscheint auch als Online-Ausgabe 978-3-642-36986-5 Lecture notes in control and information sciences 440 (DE-604)BV005848579 440 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4252341&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025958747&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Advances in sliding mode control concept, theory and implementation Lecture notes in control and information sciences Sliding-Mode (DE-588)4320090-4 gnd |
| subject_GND | (DE-588)4320090-4 (DE-588)4143413-4 |
| title | Advances in sliding mode control concept, theory and implementation |
| title_auth | Advances in sliding mode control concept, theory and implementation |
| title_exact_search | Advances in sliding mode control concept, theory and implementation |
| title_full | Advances in sliding mode control concept, theory and implementation Bijnan Bandyopadhyay ... (eds.) |
| title_fullStr | Advances in sliding mode control concept, theory and implementation Bijnan Bandyopadhyay ... (eds.) |
| title_full_unstemmed | Advances in sliding mode control concept, theory and implementation Bijnan Bandyopadhyay ... (eds.) |
| title_short | Advances in sliding mode control |
| title_sort | advances in sliding mode control concept theory and implementation |
| title_sub | concept, theory and implementation |
| topic | Sliding-Mode (DE-588)4320090-4 gnd |
| topic_facet | Sliding-Mode Aufsatzsammlung |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4252341&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025958747&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005848579 |
| work_keys_str_mv | AT bandyopadhyaybijnan advancesinslidingmodecontrolconcepttheoryandimplementation |