Robust systems: theory and applications
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York [u.a.]
Wiley
1998
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Schriftenreihe: | Adaptive and learning systems for signal processing, communications, and control
A Wiley-Interscience publication |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XVII, 490 S. graph. Darst. |
ISBN: | 0471176273 |
Internformat
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100 | 1 | |a Sánchez-Peña, Ricardo S. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Robust systems |b theory and applications |c Ricardo S. Sánchez-Peña ; Mario Sznaier |
264 | 1 | |a New York [u.a.] |b Wiley |c 1998 | |
300 | |a XVII, 490 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
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490 | 0 | |a Adaptive and learning systems for signal processing, communications, and control | |
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Datensatz im Suchindex
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adam_text | ROBUST SYSTEMS THEORY AND APPLICATIONS RICARDO S. SAENCHEZ-PENA MARIO
SZNAIER A WILEY-INTERSCIENCE PUBLICATION JOHN WILEY & SONS, INC. NEW
YORK / CHICHESTER / WEINHEIM / BRISBANE / SINGAPORE / TORONTO CONTENTS 1
INTRODUCTION 1 1.1 GENERAL CONTROL PROBLEM / 1 1.1.1 EXPERIMENTAL PHASE
/ 2 1.1.2 SIMULATION PHASE / 3 1.1.3 THEORETICAL PHASE / 5 1.2 WHY
FEEDBACK? / 11 1.3 FEEDBACK LOOP TRADE-OFF /14 1.4 OBJECTIVES OF AN
APPLIED THEORY / 17 1.5 OBJECTIVES OF THIS BOOK / 19 1.5.1 GENERAL
REMARKS / 19 1.5.2 SCOPE / 19 1.5.3 HOW TO USE THIS BOOK / 21 2 SISO
SYSTEMS 23 2.1 INTRODUCTION / 23 2.2 WELL POSEDNESS / 24 2.3 NOMINAL
INTERNAL STABILITY / 26 2.4 ROBUST STABILITY / 29 2.4.1 PHASE AND GAIN
MARGINS / 29 2.4.2 GLOBAL DYNAMIC UNCERTAINTY / 32 2.5 NOMINAL
PERFORMANCE / 42 2.5.1 KNOWN DISTURBANCE/NOISE/REFERENCE / 42 2.5.2
BOUNDED DISTURBANCES AT THE OUTPUT / 44 2.5.3 OTHER PERFORMANCE CRITERIA
/ 47 2.6 ROBUST PERFORMANCE / 50 2.7 EXTENSION TO MIMO SYSTEMS / 55 2.8
PROBLEMS / 57 VII VIII CONTENTS 3 STABILIZATION 61 3.1 INTRODUCTION / 61
3.2 WELL POSEDNESS AND INTERNAL STABILITY / 63 3.2.1 WELL POSEDNESS / 63
3.2.2 INTERNAL STABILITY / 64 3.3 OPEN-LOOP STABLE PLANTS / 65 3.4 THE
GENERAL CASE / 68 3.4.1 SPECIAL PROBLEMS / 69 3.4.2 THE OUTPUT FEEDBACK
CASE / 75 3.5 CONTROLLER STRUCTURE AND SEPARATION PRINCIPLE / 78 3.6
CLOSED-LOOP MAPPINGS / 79 3.7 A COPRIME FACTORIZATION APPROACH / 80
3.7.1 COPRIME FACTORIZATIONS / 80 3.8 LFTS AND STABILITY / 88 3.9
PROBLEMS / 90 4 LOOP SHAPING 93 4.1 INTRODUCTION / 93 4.2 NOMINAL
PERFORMANCE / 97 4.3 ROBUST STABILITY / 98 4.4 NOMINAL PERFORMANCE AND
ROBUST STABILITY / 99 4.5 ROBUST PERFORMANCE /100 4.5.1 SENSOR
UNCERTAINTY / 101 4.5.2 ACTUATOR UNCERTAINTY / 102 4.6 DESIGN PROCEDURE
/ 105 4.7 EXAMPLES / 109 4.7.1 PERMANENT MAGNET STEPPER MOTOR / 109
4.7.2 LOOP SHAPING Q(S) / 119 4.8 RELATED DESIGN PROCEDURES / 123 4.9
PROBLEMS / 125 5 * 2 OPTIMAL CONTROL 127 5.1 INTRODUCTION / 127 5.2 THE
CLASSICAL LINEAR QUADRATIC REGULATOR PROBLEM / 128 5.3 THE STANDARD *
PROBLEM / 133 5.4 RELAXING SOME OF THE ASSUMPTIONS / 141 5.5 CLOSED-LOOP
PROPERTIES / 142 5.5.1 THE LQR CASE: KALMAN S INEQUALITY / 143 CONTENTS
IX 5.5.2 SOME CONSEQUENCES OF KALMAN S INEQUALITY / 145 5.5.3 STABILITY
MARGINS OF OPTIMAL H 2 CONTROLLERS / 146 5.6 RELATED PROBLEMS / 149 5.7
PROBLEMS / 152 6 FT,» CONTROL 157 6.1 INTRODUCTION / 157 6.2 THE
STANDARD H X PROBLEM / 158 6.2.1 BACKGROUND: HANKEL AND MIXED
HANKEL-TOEPLITZ OPERATORS /161 6.2.2 PROOF OF THEOREM 6.1 / 176 6.3
RELAXING SOME OF THE ASSUMPTIONS / 179 6.4 LMI APPROACH TO U^ CONTROL
/180 6.4.1 CHARACTERIZATION OF ALL OUTPUT FEEDBACK ** CONTROLLERS / 183
6.4.2 CONNECTIONS WITH THE DGKF RESULTS / 188 6.5 LIMITING BEHAVIOR /
192 6.6 THE YOULA PARAMETRIZATION APPROACH /193 6.7 PROBLEMS / 203 7
STRUCTURED UNCERTAINTY 207 7.1 INTRODUCTION / 207 7.1.1 STABILITY MARGIN
/ 210 7.2 STRUCTURED DYNAMIC UNCERTAINTY / 215 7.2.1 COMPUTATION / 215
7.2.2 ANALYSIS AND DESIGN / 219 7.3 PARAMETRIC UNCERTAINTY / 223 7.3.1
INTRODUCTION / 223 7.3.2 RESEARCH DIRECTIONS / 225 7.3.3 KHARITONOV S
THEOREM / 230 7.3.4 MAPPING THEOREM / 233 7.4 MIXED TYPE UNCERTAINTY /
237 7.4.1 INTRODUCTION / 237 7.4.2 MIXED * / 239 7.5 PROBLEMS / 242 8 C)
CONTROL 245 8.1 INTRODUCTION / 245 X CONTENTS 8.2 ROBUST STABILITY
REVISITED / 247 8.2.1 ROBUST STABILITY UNDER LTV PERTURBATIONS / 250
8.2.2 STABILITY UNDER TIME INVARIANT PERTURBATIONS / 253 8.3 A SOLUTION
TO THE SISO I * CONTROL PROBLEM / 254 8.3.1 PROPERTIES OF THE SOLUTION /
262 8.3.2 THE MIMO CASE / 266 8.4 APPROXIMATE SOLUTIONS / 267 8.4.1 AN
UPPER BOUND OF THE I * NORM / 268 8.4.2 THE * NORM / 269 8.4.3 FULL
STATE FEEDBACK / 273 8.4.4 ALL OUTPUT FEEDBACK CONTROLLERS FOR OPTIMAL
*-NORM PROBLEMS / 276 8.5 THE CONTINUOUS TIME CASE / 282 8.5.1 SOLUTION
VIA DUALITY / 282 8.5.2 RATIONAL APPROXIMATIONS TO THE OPTIMAL C
CONTROLLER / 285 8.6 PROBLEMS / 288 9 MODEL ORDER REDUCTION 293 9.1
INTRODUCTION / 293 9.2 GEOMETRY OF STATE-SPACE REALIZATIONS / 295 9.2.1
CONTROLLABLE/UNOBSERVABLE SPACES / 295 9.2.2 PRINCIPAL COMPONENTS / 297
9.3 HANKEL SINGULAR VALUES / 304 9.3.1 CONTINUOUS SYSTEMS / 304 9.3.2
DISCRETE SYSTEMS / 306 9.4 MODEL REDUCTION / 310 9.4.1 INTRODUCTION /
310 9.4.2 HANKEL OPERATOR REDUCTION / 310 9.4.3 BALANCED REALIZATIONS /
312 9.4.4 BALANCED TRUNCATION /314 9.5 ALGORITHMS / 318 9.5.1
APPROXIMATION ERROR / 319 9.6 PROBLEMS / 321 10 ROBUST IDENTIFICATION
323 10.1 INTRODUCTION / 323 10.2 GENERAL SETUP / 324 CONTENTS XI 10.2.1
INPUT DATA / 325 10.2.2 CONSISTENCY / 326 10.2.3 IDENTIFICATION ERROR /
328 10.2.4 CONVERGENCE / 334 10.2.5 VALIDATION / 338 10.3
FREQUENCY-DOMAIN IDENTIFICATION / 339 10.3.1 PRELIMINARIES / 340 10.3.2
SAMPLING PROCEDURE / 342 10.3.3 CONSISTENCY / 344 10.3.4 IDENTIFICATION
PROCEDURES / 346 10.4 TIME-DOMAIN IDENTIFICATION / 361 10.4.1
PRELIMINARIES / 362 10.4.2 IDENTIFICATION PROCEDURES / 366 10.5 FURTHER
RESEARCH TOPICS / 372 10.5.1 UNSTABLE SYSTEMS / 372 10.5.2 NONUNIFORMLY
SPACED EXPERIMENTAL POINTS / 372 10.5.3 MODEL REDUCTION / 373 10.5.4
CONTINUOUS TIME PLANTS / 373 10.5.5 SAMPLE COMPLEXITY / 373 10.5.6 MIXED
TIME/FREQUENCY EXPERIMENTS / 374 10.5.7 MIXED PARAMETRIC/NONPARAMETRIC
MODELS / 374 11 APPLICATION EXAMPLES 377 11.1 SAC-C ATTITUDE CONTROL
ANALYSIS / 377 11.1.1 INTRODUCTION / 377 11.1.2 LINEAR MODEL / 378
11.1.3 DESIGN CONSTRAINTS / 381 11.1.4 ROBUSTNESS ANALYSIS / 383 11.1.5
SIMULATIONS / 385 11.2 CONTROLLER DESIGN FOR A D 2 0 PLANT / 389 11.2.1
MODEL OF THE PLANT / 389 11.2.2 ROBUSTNESS ANALYSIS / 391 11.2.3
CONTROLLER DESIGN / 397 11.3 X-29 PARAMETRIC ANALYSIS / 400 11.3.1
LINEAR MODEL / 400 11.3.2 RESULTS / 405 11.4 CONTROL OF A DC-TO-DC
RESONANT CONVERTER / 407 11.4.1 INTRODUCTION / 407 XII CONTENTS 11.4.2
THE CONVENTIONAL PARALLEL RESONANT CONVERTER / 407 11.4.3 SMALL SIGNAL
MODEL / 409 11.4.4 CONTROL OBJECTIVES / 410 11.4.5 ANALYSIS OF THE PLANT
/ 411 11.4.6 CONTROL DESIGN / 414 11.4.7 CONTROLLER SYNTHESIS / 420
11.4.8 SIMULATION RESULTS / 421 BIBLIOGRAPHY 427 A MATHEMATICAL
BACKGROUND 445 A.L ALGEBRAIC STRUCTURES / 445 A.L.L FIELD / 445 A.1.2
LINEAR VECTOR SPACE / 446 A.1.3 METRIC, NORM, AND INNER PRODUCTS / 447
A.2 FUNCTION SPACES / 449 A.2.1 INTRODUCTION / 449 A.2.2 BANACH AND
HUBERT SPACES / 449 A.2.3 OPERATOR AND SIGNAL SPACES / 450 A.2.4
ISOMORPHISM / 452 A.2.5 INDUCED NORMS / 453 A.2.6 SOME IMPORTANT INDUCED
SYSTEM NORMS / 455 A.3 DUALITY AND DUAL SPACES / 457 A.3.1 THE DUAL
SPACE / 457 A.3.2 MINIMUM NORM PROBLEMS / 458 A.4 SINGULAR VALUES / 460
A.4.1 DEFINITION / 460 A.4.2 PROPERTIES AND APPLICATIONS / 461 * SYSTEM
COMPUTATIONS 465 B.L SERIES / 465 B.2 CHANGE OF VARIABLES / 466 B.3
STATE FEEDBACK / 467 B.4 STATE ESTIMATION / 467 B.5 TRANSPOSE SYSTEM /
467 B.6 CONJUGATE SYSTEM / 467 B.7 ADDITION / 468 B.8 OUTPUT FEEDBACK /
468 CONTENTS XUEI B.9 INVERSE / 469 *. 10 LINEAR FRACTIONAL
TRANSFORMATIONS / 470 *.11 NORM COMPUTATIONS / 475 B.11.1 H 2 NORM
COMPUTATION / 475 B.11.2 * * NORM COMPUTATION / 476 B.11.3 P NORM
COMPUTATION / 476 B.12 PROBLEMS / 479 * RICCATI EQUATIONS 481 INDEX 487
|
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institution | BVB |
isbn | 0471176273 |
language | English |
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series2 | Adaptive and learning systems for signal processing, communications, and control A Wiley-Interscience publication |
spelling | Sánchez-Peña, Ricardo S. Verfasser aut Robust systems theory and applications Ricardo S. Sánchez-Peña ; Mario Sznaier New York [u.a.] Wiley 1998 XVII, 490 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Adaptive and learning systems for signal processing, communications, and control A Wiley-Interscience publication Automatic control Control theory System identification Regelungstechnik (DE-588)4076594-5 gnd rswk-swf Robuste Regelung (DE-588)4206985-3 gnd rswk-swf (DE-588)4006432-3 Bibliografie gnd-content Robuste Regelung (DE-588)4206985-3 s DE-604 Regelungstechnik (DE-588)4076594-5 s Sznaier, Mario Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008278254&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Sánchez-Peña, Ricardo S. Sznaier, Mario Robust systems theory and applications Automatic control Control theory System identification Regelungstechnik (DE-588)4076594-5 gnd Robuste Regelung (DE-588)4206985-3 gnd |
subject_GND | (DE-588)4076594-5 (DE-588)4206985-3 (DE-588)4006432-3 |
title | Robust systems theory and applications |
title_auth | Robust systems theory and applications |
title_exact_search | Robust systems theory and applications |
title_full | Robust systems theory and applications Ricardo S. Sánchez-Peña ; Mario Sznaier |
title_fullStr | Robust systems theory and applications Ricardo S. Sánchez-Peña ; Mario Sznaier |
title_full_unstemmed | Robust systems theory and applications Ricardo S. Sánchez-Peña ; Mario Sznaier |
title_short | Robust systems |
title_sort | robust systems theory and applications |
title_sub | theory and applications |
topic | Automatic control Control theory System identification Regelungstechnik (DE-588)4076594-5 gnd Robuste Regelung (DE-588)4206985-3 gnd |
topic_facet | Automatic control Control theory System identification Regelungstechnik Robuste Regelung Bibliografie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008278254&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT sanchezpenaricardos robustsystemstheoryandapplications AT sznaiermario robustsystemstheoryandapplications |