Digital controller implementation and fragility a modern perspective

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Veröffentlicht: London [u.a.] Springer 2001
Schriftenreihe:Advances in industrial control
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adam_text ROBERT S.H. ISTEPANIAN AND JAMES F. WHIDBORNE (EDS) DIGITAL CONTROLLER IMPLEMENTATION AND FRAGILITY A MODERN PERSPECTIVE WITH 69 FIGURES SPRINGER CONTENTS LIST OF CONTRIBUTORS XVII 1 FINITE-PRECISION COMPUTING FOR DIGITAL CONTROL SYSTEMS: CURRENT STATUS AND FUTURE PARADIGMS ROBERT S.H. ISTEPANIAN, JAMES F. WHIDBORNE 1 1.1 INTRODUCTION 1 1.2 FINITE-PRECISION CONTROL AND FRAGILITY 3 1.3 HARDWARE ISSUES AND DEVELOPMENT OF CONTROL SYSTEM PROCESS- ING STRUCTURES 7 1.4 FUTURE PARADIGMS AND RELEVANT RESEARCH PROBLEMS 8 REFERENCES 9 2 STABILITY MARGINS AND DIGITAL IMPLEMENTATION OF CONTROLLERS LEE H. KEEL, SHANKAR P. BHATTACHARYYA 13 2.1 INTRODUCTION 13 2.2 DIGITAL IMPLEMENTATION 14 2.3 SIMULATION SETUP 15 2.4 EXAMPLES 16 2.5 CONCLUDING REMARKS 24 ACKNOWLEDGEMENTS 24 REFERENCES 24 3 FINITE WORD-LENGTH EFFECTS IN SYSTEMS WITH FAST SAMPLING RYSZARD GESSING 25 3.1 INTRODUCTION 25 3.2 THE CASE OF SMALL SAMPLING PERIODS 27 3.3 A REFORMULATED ASTROM S THEOREM 29 3.4 ESTIMATION OF THE WORD-LENGTH 31 3.5 EXAMPLES 34 3.6 REMARKS ABOUT REGULATOR DESIGN AND IMPLEMENTATION 36 3.7 PROBLEMS WITH MODEL IDENTIFICATION 37 3.8 CONCLUSIONS AND NOTES 41 REFERENCES 42 CONTENTS IMPLEMENTATION OF A CLASS OF LOW COMPLEXITY, LOW SENSI- TIVITY DIGITAL CONTROLLERS USING ADAPTIVE FIXED-POINT ARITH- METIC DARRELL WILLIAMSON 43 4.1 INTRODUCTION 43 4.2 DIGITAL FEEDBACK CONTROLLER 47 4.3 Q-PARAMETERIZED CONTROLLER 54 4.4 DYNAMICALLY SCALED CONTROLLERS 66 CONVEXITY AND DIAGONAL STABILITY: AN LMI APPROACH TO DIG- ITAL FILTER IMPLEMENTATION STEPHANE DUSSY 75 5.1 INTRODUCTION 75 5.2 CONVEX APPROACH TO THE DIAGONAL STABILITY ISSUE 77 5.3 APPLICATION TO DIGITAL FILTER IMPLEMENTATIONS 81 5.4 CONCLUDING REMARKS 84 THE DETERMINATION OF OPTIMAL FINITE-PRECISION CONTROLLER REALISATIONS USING A GLOBAL OPTIMISATION STRATEGY: A POLE- SENSITIVITY APPROACH SHENG CHEN, JUN WU 87 6.1 INTRODUCTION 87 6.2 PROBLEM FORMULATION 89 6.3 A NEW POLE-SENSITIVITY STABILITY RELATED MEASURE 91 6.4 OPTIMISATION PROCEDURE 94 6.5 A NUMERICAL EXAMPLE 96 6.6 CONCLUSIONS 97 REFERENCES 98 6.A APPENDIX - THEOREM PROOF 100 6.B APPENDIX - ADAPTIVE SIMULATED ANNEALING 101 COMPUTATIONAL ALGORITHMS FOR SPARSE OPTIMAL DIGITAL CON- TROLLER REALISATIONS IAN J. FIALHO, TRYPHON T, GEORGIOU 105 7.1 INTRODUCTION 105 7.2 DIGITAL CONTROLLER COEFFICIENT QUANTISATION 106 7.3 STABILITY-OPTIMAL CONTROLLER REALISATIONS 108 7.4 NUMERICAL ISSUES 116 7.5 CONCLUDING REMARKS 120 REFERENCES 121 ON THE STRUCTURE OF DIGITAL CONTROLLERS IN SAMPLED-DATA SYS- TEMS WITH STABILITY CONSIDERATION GANG LI 123 8.1 INTRODUCTION 123 8.2 DIGITAL CONTROLLER STATE SPACE IMPLEMENTATION 125 8.3 A STABILITY ROBUSTNESS RELATED MEASURE 128 CONTENTS XV 8.4 OPTIMAL CONTROLLER STRUCTURES 131 8.5 SPARSE STRUCTURES 136 8.6 A DESIGN EXAMPLE - 138 REFERENCES 141 9 AN EVOLUTIONARY ALGORITHM APPROACH TO THE DESIGN OF FI- NITE WORD-LENGTH CONTROLLER STRUCTURES JAMES F. WHIDBORNE, ROBERT S.H. ISTEPANIAN 143 9.1 INTRODUCTION 143 9.2 MULTI-OBJECTIVE OPTIMISATION 144 9.3 EVOLUTIONARY ALGORITHMS AND THE MULTI-OBJECTIVE GENETIC AL- GORITHM 146 9.4 A LINEAR SYSTEM EQUIVALENCE COMPLETION PROBLEM 148 9.5 FWL CONTROLLER STRUCTURE DESIGN USING EVOLUTIONARY COMPU- TATION 151 9.6 APPLICATION EXAMPLE 153 9.7 CONCLUDING REMARKS 158 REFERENCES 158 10 NON-FRAGILE ROBUST CONTROLLER DESIGN PERTTI M. MA KILA, JUHA PAATTILAMMI 16 1 10.1 INTRODUCTION 161 10.2 ROBUSTNESS AND FRAGILITY ANALYSIS 162 10.3 ANOTHER VIEW ON ROBUSTNESS AND FRAGILITY 170 10.4 FACTORED CONTROLLER FORM 171 10.5 PARTIAL FRACTION CONTROLLER FORM 176 10.6 CONCLUSIONS 179 ACKNOWLEDGEMENTS 179 REFERENCES 179 11 ROBUST RESILIENT CONTROLLER DESIGN WASSIM M. HADDAD, JOSEPH R. CORRADO 183 11.1 INTRODUCTION 183 11.2 ROBUST STABILITY AND PERFORMANCE 185 11.3 SUFFICIENT CONDITIONS FOR ROBUST STABILITY AND PERFORMANCE .. 186 11.4 MULTIPLICATIVE CONTROLLER UNCERTAINTY STRUCTURE AND GUARAN- TEED COST BOUND 189 11.5 DECENTRALISED STATIC OUTPUT FEEDBACK FORMULATION 190 11.6 SUFFICIENT CONDITIONS FOR FIXED-ORDER RESILIENT COMPENSATION WITH MULTIPLICATIVE UNCERTAINTY 193 11.7 ADDITIVE CONTROLLER UNCERTAINTY STRUCTURE AND GUARANTEED COST BOUND 195 11.8 DECENTRALISED STATIC OUTPUT FEEDBACK FORMULATION 198 11.9 SUFFICIENT CONDITIONS FOR FIXED-ORDER RESILIENT COMPENSATION WITH ADDITIVE UNCERTAINTY 199 LL.LOQUASI-NEWTON OPTIMISATION ALGORITHM 200 XVI CONTENTS 11.11 ILLUSTRATIVE NUMERICAL EXAMPLES 201 11.12 CONCLUSION 203 REFERENCES 203 12 ROBUST NON-FRAGILE CONTROLLER DESIGN FOR DISCRETE TIME SYS- TEMS WITH FWL CONSIDERATION GUANG-HONG YANG, JIAN LIANG WANG, YENG CHAI SOH 213 12.1 INTRODUCTION 213 12.2 PROBLEM STATEMENT AND PRELIMINARIES 214 12.3 ROBUST NON-FRAGILE H 2 CONTROL WITH ADDITIVE CONTROLLER UN- CERTAINTY 217 12.4 ROBUST NON-FRAGILE H 2 CONTROL WITH MULTIPLICATIVE CONTROLLER UNCERTAINTY 222 12.5 EXAMPLE 224 12.6 CONCLUSION 226 ACKNOWLEDGEMENTS 226 REFERENCES 226 13 SYNTHESIS OF CONTROLLERS WITH FINITE-PRECISION CONSIDERA- TIONS MAURICIO C. DE OLIVEIRA, ROBERT E. SKELTON 229 13.1 INTRODUCTION 229 13.2 A MODEL FOR FINITE-PRECISION CONTROLLER DESIGN 231 13.3 THE NOISE MODEL 233 13.4 FINITE-PRECISION EFFECTS ON CLOSED-LOOP PERFORMANCE 235 13.5 OPTIMAL CONTROLLER COORDINATES 237 13.6 OPTIMAL CONTROLLER DESIGN 239 13.7 SKEWED SAMPLING 244 13.8 A NUMERICAL EXAMPLE 246 ACKNOWLEDGEMENTS 247 REFERENCES 248 13.A PROOF OF LEMMA 13.1 249 13.B PROOF OF LEMMA 13.2 249 13.C PROOF OF LEMMA 13.3 250 14 QUANTISATION ERRORS IN DIGITAL IMPLEMENTATIONS OF FUZZY CONTROLLERS INES DEL CAMPO, JOSE M. TARELA, KOLDO BASTERRETXEA 253 14.1 INTRODUCTION 253 14.2 FUZZY SYSTEMS 254 14.3 SOURCES OF QUANTISATION ERRORS 258 14.4 DIGITISED FLCS 262 14.5 CONSEQUENCES OF THE DIGITISATION IN FEEDBACK FUZZY SYSTEMS.. 266 14.6 CONCLUSIONS 272 REFERENCES 273 INDEX 275
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publishDate 2001
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series2 Advances in industrial control
spellingShingle Digital controller implementation and fragility a modern perspective
Digital control systems
Robust control
Digitale Regelung (DE-588)4012293-1 gnd
subject_GND (DE-588)4012293-1
(DE-588)4143413-4
title Digital controller implementation and fragility a modern perspective
title_auth Digital controller implementation and fragility a modern perspective
title_exact_search Digital controller implementation and fragility a modern perspective
title_full Digital controller implementation and fragility a modern perspective Robert S. H. Istepanian ... (Ed.)
title_fullStr Digital controller implementation and fragility a modern perspective Robert S. H. Istepanian ... (Ed.)
title_full_unstemmed Digital controller implementation and fragility a modern perspective Robert S. H. Istepanian ... (Ed.)
title_short Digital controller implementation and fragility
title_sort digital controller implementation and fragility a modern perspective
title_sub a modern perspective
topic Digital control systems
Robust control
Digitale Regelung (DE-588)4012293-1 gnd
topic_facet Digital control systems
Robust control
Digitale Regelung
Aufsatzsammlung
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009382502&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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