Holdings: Optimal sampled-data control systems

Optimal sampled-data control systems:

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Bibliographic Details
Main Authors:	Chen, Tongwen (Author), Francis, Bruce A. (Author)
Format:	Book
Language:	English
Published:	London [u.a.] Springer 1995
Series:	Communications and control engineering series
Subjects:	Commande automatique Controleleer Systèmes échantillonnés Teoria de controle Automatic control Discrete-time systems Software Optimale Kontrolle Abtastregelung Zeitdiskretes Regelungssystem Aufgabensammlung
Online Access:	Inhaltsverzeichnis
Physical Description:	XII, 374 S. graph. Darst.
ISBN:	3540199497

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MARC


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adam_text	TONGWEN CHEN AND BRUCE FRANCIS OPTIMAL SAMPLED-DATA CONTROL SYSTEMS WITH 222 FIGURES SPRINGER LONDON BERLIN HEIDELBERG NEW YORK PARIS TOKYO HONG KONG BARCELONA BUDAPEST CONTENTS INTRODUCTION 1 1.1 SAMPLED-DATA SYSTEMS 1 1.2 APPROACHES TO SD CONTROLLER DESIGN 8 1.3 NOTATION 10 EXERCISES 13 NOTES AND REFERENCES 15 INDIRECT DESIGN METHODS 17 OVERVIEW OF CONTINUOUS-TIME H2- AND WOO-OPTIMAL CONTROL 19 2.1 NORMS FOR SIGNALS AND SYSTEMS 19 2.2 FT 2 -OPTIMAL CONTROL 22 2.3 FTOO-OPTIMAL CONTROL 29 NOTES AND REFERENCES 32 DISCRETIZATION 33 3.1 STEP-INVARIANT TRANSFORMATION 33 3.2 EFFECT OF SAMPLING 39 3.3 STEP-INVARIANT TRANSFORMATION CONTINUED 44 3.4 BILINEAR TRANSFORMATION 53 3.5 DISCRETIZATION ERROR 54 EXERCISES 59 NOTES AND REFERENCES 64 DISCRETE-TIME SYSTEMS: BASIC CONCEPTS 65 4.1 TIME-DOMAIN MODELS 65 4.2 FREQUENCY-DOMAIN MODELS 69 4.3 NORMS 72 4.4 MULTIVARIABLE SYSTEMS 78 4.5 FUNCTION SPACES 83 CONTENTS 4.6 OPTIMAL DISCRETIZATION OF ANALOG SYSTEMS 88 EXERCISES 90 NOTES AND REFERENCES 94 DISCRETE-TIME FEEDBACK SYSTEMS 95 5.1 CONNECTING SUBSYSTEMS 95 5.2 OBSERVER-BASED CONTROLLERS 97 5.3 STABILIZATION 103 5.4 ALL STABILIZING CONTROLLERS 106 5.5 STEP TRACKING ILL EXERCISES 115 NOTES AND REFERENCES 120 DISCRETE-TIME W 2 -OPTIMAL CONTROL 121 6.1 THE LQR PROBLEM 121 6.2 SYMPLECTIC PAIR AND GENERALIZED EIGENPROBLEM 128 6.3 SYMPLECTIC PAIR AND RICCATI EQUATION 131 6.4 STATE FEEDBACK AND DISTURBANCE FEEDFORWARD 138 6.5 OUTPUT FEEDBACK 143 6.6 W 2 -OPTIMAL STEP TRACKING 152 6.7 TRANSFER FUNCTION APPROACH 160 EXERCISES 163 NOTES AND REFERENCES 169 INTRODUCTION TO DISCRETE-TIME WOO-OPTIMAL CONTROL 171 7.1 COMPUTING THE WOO-NORM 171 7.2 DISCRETE-TIME WOO-OPTIMIZATION BY BILINEAR TRANSFORMATION . 176 EXERCISES 180 NOTES AND REFERENCES 181 FAST DISCRETIZATION OF SD FEEDBACK SYSTEMS 183 8.1 LIFTING DISCRETE-TIME SIGNALS 183 8.2 LIFTING DISCRETE-TIME SYSTEMS 185 8.3 FAST DISCRETIZATION OF A SD SYSTEM 186 8.4 DESIGN EXAMPLES 193 8.5 SIMULATION OF SD SYSTEMS 201 EXERCISES 203 NOTES AND REFERENCES 205 CONTENTS X I II DIRECT SD DESIGN 207 9 PROPERTIES OF S AND H 209 9.1 REVIEW OF INPUT-OUTPUT STABILITY OF LTI SYSTEMS 209 9.2 M. RIESZ CONVEXITY THEOREM 210 9.3 BOUNDEDNESS OF 5 AND H 211 9.4 PERFORMANCE RECOVERY 216 EXERCISES 219 NOTES AND REFERENCES 220 10 CONTINUOUS LIFTING 221 10.1 LIFTING CONTINUOUS-TIME SIGNALS 221 10.2 LIFTING OPEN-LOOP SYSTEMS 223 10.3 LIFTING SD FEEDBACK SYSTEMS 227 10.4 ADJOINT OPERATORS 229 10.5 THE NORM OF SG 232 10.6 THE NORM OF GH 237 10.7 ANALYSIS OF SENSOR NOISE EFFECT 239 EXERCISES 242 NOTES AND REFERENCES 245 11 STABILITY AND TRACKING IN SD SYSTEMS 247 11.1 INTERNAL STABILITY 247 11.2 INPUT-OUTPUT STABILITY 252 11.3 ROBUST STABILITY 258 11.4 STEP TRACKING 262 11.5 DIGITAL IMPLEMENTATION AND STEP TRACKING 267 11.6 TRACKING OTHER SIGNALS 271 EXERCISES 276 NOTES AND REFERENCES 279 12 7I 2 -OPTIMAL SD CONTROL 281 12.1 A SIMPLE HI SD PROBLEM 281 12.2 GENERALIZED W 2 MEASURE FOR PERIODIC SYSTEMS 291 12.3 GENERALIZED UI SD PROBLEM 297 12.4 EXAMPLES 302 EXERCISES 307 NOTES AND REFERENCES 307 13 WOO-OPTIMAL SD CONTROL 309 13.1 FREQUENCY RESPONSE 310 13.2 WOO-NORM IN THE FREQUENCY DOMAIN 313 13.3 7IOO-NORM CHARACTERIZATION 316 13.4 UOO DISCRETIZATION OF SD SYSTEMS 317 13.5 COMPUTING THE 2 [0,/I)-INDUCED NORM 320 XII CONTENTS 13.6 COMPUTING THE MATRICES IN G EQI D 326 13.7 WOO SD ANALYSIS 336 13.8 WOO SD SYNTHESIS 341 EXERCISES 345 NOTES AND REFERENCES 347 A STATE MODELS 349 BIBLIOGRAPHY 357 INDEX 369
adam_txt	TONGWEN CHEN AND BRUCE FRANCIS OPTIMAL SAMPLED-DATA CONTROL SYSTEMS WITH 222 FIGURES SPRINGER LONDON BERLIN HEIDELBERG NEW YORK PARIS TOKYO HONG KONG BARCELONA BUDAPEST CONTENTS INTRODUCTION 1 1.1 SAMPLED-DATA SYSTEMS 1 1.2 APPROACHES TO SD CONTROLLER DESIGN 8 1.3 NOTATION 10 EXERCISES 13 NOTES AND REFERENCES 15 INDIRECT DESIGN METHODS 17 OVERVIEW OF CONTINUOUS-TIME H2- AND WOO-OPTIMAL CONTROL 19 2.1 NORMS FOR SIGNALS AND SYSTEMS 19 2.2 FT 2 -OPTIMAL CONTROL 22 2.3 FTOO-OPTIMAL CONTROL 29 NOTES AND REFERENCES 32 DISCRETIZATION 33 3.1 STEP-INVARIANT TRANSFORMATION 33 3.2 EFFECT OF SAMPLING 39 3.3 STEP-INVARIANT TRANSFORMATION CONTINUED 44 3.4 BILINEAR TRANSFORMATION 53 3.5 DISCRETIZATION ERROR 54 EXERCISES 59 NOTES AND REFERENCES 64 DISCRETE-TIME SYSTEMS: BASIC CONCEPTS 65 4.1 TIME-DOMAIN MODELS 65 4.2 FREQUENCY-DOMAIN MODELS 69 4.3 NORMS 72 4.4 MULTIVARIABLE SYSTEMS 78 4.5 FUNCTION SPACES 83 CONTENTS 4.6 OPTIMAL DISCRETIZATION OF ANALOG SYSTEMS 88 EXERCISES 90 NOTES AND REFERENCES 94 DISCRETE-TIME FEEDBACK SYSTEMS 95 5.1 CONNECTING SUBSYSTEMS 95 5.2 OBSERVER-BASED CONTROLLERS 97 5.3 STABILIZATION 103 5.4 ALL STABILIZING CONTROLLERS 106 5.5 STEP TRACKING ILL EXERCISES 115 NOTES AND REFERENCES 120 DISCRETE-TIME W 2 -OPTIMAL CONTROL 121 6.1 THE LQR PROBLEM 121 6.2 SYMPLECTIC PAIR AND GENERALIZED EIGENPROBLEM 128 6.3 SYMPLECTIC PAIR AND RICCATI EQUATION 131 6.4 STATE FEEDBACK AND DISTURBANCE FEEDFORWARD 138 6.5 OUTPUT FEEDBACK 143 6.6 W 2 -OPTIMAL STEP TRACKING 152 6.7 TRANSFER FUNCTION APPROACH 160 EXERCISES 163 NOTES AND REFERENCES 169 INTRODUCTION TO DISCRETE-TIME WOO-OPTIMAL CONTROL 171 7.1 COMPUTING THE WOO-NORM 171 7.2 DISCRETE-TIME WOO-OPTIMIZATION BY BILINEAR TRANSFORMATION . 176 EXERCISES 180 NOTES AND REFERENCES 181 FAST DISCRETIZATION OF SD FEEDBACK SYSTEMS 183 8.1 LIFTING DISCRETE-TIME SIGNALS 183 8.2 LIFTING DISCRETE-TIME SYSTEMS 185 8.3 FAST DISCRETIZATION OF A SD SYSTEM 186 8.4 DESIGN EXAMPLES 193 8.5 SIMULATION OF SD SYSTEMS 201 EXERCISES 203 NOTES AND REFERENCES 205 CONTENTS X I II DIRECT SD DESIGN 207 9 PROPERTIES OF S AND H 209 9.1 REVIEW OF INPUT-OUTPUT STABILITY OF LTI SYSTEMS 209 9.2 M. RIESZ CONVEXITY THEOREM 210 9.3 BOUNDEDNESS OF 5 AND H 211 9.4 PERFORMANCE RECOVERY 216 EXERCISES 219 NOTES AND REFERENCES 220 10 CONTINUOUS LIFTING 221 10.1 LIFTING CONTINUOUS-TIME SIGNALS 221 10.2 LIFTING OPEN-LOOP SYSTEMS 223 10.3 LIFTING SD FEEDBACK SYSTEMS 227 10.4 ADJOINT OPERATORS 229 10.5 THE NORM OF SG 232 10.6 THE NORM OF GH 237 10.7 ANALYSIS OF SENSOR NOISE EFFECT 239 EXERCISES 242 NOTES AND REFERENCES 245 11 STABILITY AND TRACKING IN SD SYSTEMS 247 11.1 INTERNAL STABILITY 247 11.2 INPUT-OUTPUT STABILITY 252 11.3 ROBUST STABILITY 258 11.4 STEP TRACKING 262 11.5 DIGITAL IMPLEMENTATION AND STEP TRACKING 267 11.6 TRACKING OTHER SIGNALS 271 EXERCISES 276 NOTES AND REFERENCES 279 12 7I 2 -OPTIMAL SD CONTROL 281 12.1 A SIMPLE HI SD PROBLEM 281 12.2 GENERALIZED W 2 MEASURE FOR PERIODIC SYSTEMS 291 12.3 GENERALIZED UI SD PROBLEM 297 12.4 EXAMPLES 302 EXERCISES 307 NOTES AND REFERENCES 307 13 WOO-OPTIMAL SD CONTROL 309 13.1 FREQUENCY RESPONSE 310 13.2 WOO-NORM IN THE FREQUENCY DOMAIN 313 13.3 7IOO-NORM CHARACTERIZATION ' 316 13.4 UOO DISCRETIZATION OF SD SYSTEMS 317 13.5 COMPUTING THE 2 [0,/I)-INDUCED NORM 320 XII CONTENTS 13.6 COMPUTING THE MATRICES IN G EQI D 326 13.7 WOO SD ANALYSIS ' 336 13.8 WOO SD SYNTHESIS 341 EXERCISES 345 NOTES AND REFERENCES 347 A STATE MODELS 349 BIBLIOGRAPHY 357 INDEX 369
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spelling	Chen, Tongwen Verfasser aut Optimal sampled-data control systems Tongwen Chen and Bruce Francis London [u.a.] Springer 1995 XII, 374 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Communications and control engineering series Commande automatique Controleleer gtt Systèmes échantillonnés Teoria de controle larpcal Automatic control Discrete-time systems Software (DE-588)4055382-6 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Abtastregelung (DE-588)4129818-4 gnd rswk-swf Zeitdiskretes Regelungssystem (DE-588)4134711-0 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Software (DE-588)4055382-6 s DE-604 Optimale Kontrolle (DE-588)4121428-6 s Zeitdiskretes Regelungssystem (DE-588)4134711-0 s Abtastregelung (DE-588)4129818-4 s 1\p DE-604 Francis, Bruce A. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015143388&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Chen, Tongwen Francis, Bruce A. Optimal sampled-data control systems Commande automatique Controleleer gtt Systèmes échantillonnés Teoria de controle larpcal Automatic control Discrete-time systems Software (DE-588)4055382-6 gnd Optimale Kontrolle (DE-588)4121428-6 gnd Abtastregelung (DE-588)4129818-4 gnd Zeitdiskretes Regelungssystem (DE-588)4134711-0 gnd
subject_GND	(DE-588)4055382-6 (DE-588)4121428-6 (DE-588)4129818-4 (DE-588)4134711-0 (DE-588)4143389-0
title	Optimal sampled-data control systems
title_auth	Optimal sampled-data control systems
title_exact_search	Optimal sampled-data control systems
title_exact_search_txtP	Optimal sampled-data control systems
title_full	Optimal sampled-data control systems Tongwen Chen and Bruce Francis
title_fullStr	Optimal sampled-data control systems Tongwen Chen and Bruce Francis
title_full_unstemmed	Optimal sampled-data control systems Tongwen Chen and Bruce Francis
title_short	Optimal sampled-data control systems
title_sort	optimal sampled data control systems
topic	Commande automatique Controleleer gtt Systèmes échantillonnés Teoria de controle larpcal Automatic control Discrete-time systems Software (DE-588)4055382-6 gnd Optimale Kontrolle (DE-588)4121428-6 gnd Abtastregelung (DE-588)4129818-4 gnd Zeitdiskretes Regelungssystem (DE-588)4134711-0 gnd
topic_facet	Commande automatique Controleleer Systèmes échantillonnés Teoria de controle Automatic control Discrete-time systems Software Optimale Kontrolle Abtastregelung Zeitdiskretes Regelungssystem Aufgabensammlung
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work_keys_str_mv	AT chentongwen optimalsampleddatacontrolsystems AT francisbrucea optimalsampleddatacontrolsystems

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