Delay compensation for nonlinear, adaptive, and PDE systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston, Mass. [u.a.]
Birkhäuser
2009
|
| Series: | Systems & control
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 466 S. graph. Darst. |
| ISBN: | 9780817648763 |
Staff View
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| 245 | 1 | 0 | |a Delay compensation for nonlinear, adaptive, and PDE systems |c Miroslav Krstic |
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Record in the Search Index
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| adam_text | CONTENTS PREFACE V 1 INTRODUCTION 1 1.1 DELAY SYSTEMS 1 1.2 HOW DOES THE
DIFFICULTY OF DELAY SYSTEMS COMPARE WITH PDES? . 2 1.3 A SHORT HISTORY
OF BACKSTEPPING 3 1.4 FROM PREDICTOR FEEDBACKS FOR LTI-ODE SYSTEMS TO
THE RESULTS IN THIS BOOK 4 1.5 ORGANIZATION OF THE BOOK 4 1.6 USE OF
EXAMPLES 5 1.7 KRASOVSKII THEOREM OR DIRECT STABILITY ESTIMATES? 7 1.8
DDE OR TRANSPORT PDE REPRESENTATION OF THE ACTUATOR/SENSOR STATE? 9 1.9
NOTATION, SPACES, NORMS, AND SOLUTIONS 9 1.10 BEYOND THIS BOOK 11 PART I
LINEAR DELAY-ODE CASCADES 2 BASIC PREDICTOR FEEDBACK 17 2.1 BASIC IDEA
OF PREDICTOR FEEDBACK DESIGN FOR ODE SYSTEMS WITH ACTUATOR DELAY 18 2.2
BACKSTEPPING DESIGN VIA THE TRANSPORT PDE 19 2.3 ON THE RELATION AMONG
THE BACKSTEPPING DESIGN, THE FSA/REDUCTION DESIGN, AND THE ORIGINAL
SMITH CONTROLLER 22 2.4 STABILITY OF PREDICTOR FEEDBACK 23 2.5 EXAMPLES
OF PREDICTOR FEEDBACK DESIGN 27 2.6 STABILITY PROOF WITHOUT A LYAPUNOV
FUNCTION 30 2.7 BACKSTEPPING TRANSFORMATION IN THE STANDARD DELAY
NOTATION .... 36 2.8 NOTES AND REFERENCES 39 BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/993987877 DIGITALISIERT DURCH X CONTENTS
3 PREDICTOR OBSERVERS 41 3.1 OBSERVERS FOR ODE SYSTEMS WITH SENSOR DELAY
41 3.2 EXAMPLE: PREDICTOR OBSERVER 44 3.3 ON OBSERVERS THAT DO NOT
ESTIMATE THE SENSOR STATE 46 3.4 OBSERVER-BASED PREDICTOR FEEDBACK FOR
SYSTEMS WITH INPUT DELAY 48 3.5 THE RELATION WITH THE ORIGINAL SMITH
CONTROLLER 48 3.6 SEPARATION PRINCIPLE: STABILITY UNDER OBSERVER-BASED
PREDICTOR FEEDBACK 49 3.7 NOTES AND REFERENCES 52 4 INVERSE OPTIMAL
REDESIGN 53 4. 1 INVERSE OPTIMAL REDESIGN 54 4.2 IS DIRECT OPTIMALITY
POSSIBLE WITHOUT SOLVING OPERATOR RICCATI EQUATIONS? 59 4.3 DISTURBANCE
ATTENUATION 60 4.4 NOTES AND REFERENCES 63 5 ROBUSTNESS TO DELAY
MISMATCH 65 5.1 ROBUSTNESS IN THE LI NORM 65 5.2 ASIDE: ROBUSTNESS TO
PREDICTOR FOR SYSTEMS THAT DO NOT NEED IT.. 72 5.3 ROBUSTNESS IN THE H
NORM 73 5.4 NOTES AND REFERENCES 83 6 TIME-VARYING DELAY 85 6.1
PREDICTOR FEEDBACK DESIGN WITH TIME-VARYING ACTUATOR DELAY ... 85 6.2
STABILITY ANALYSIS 88 6.3 OBSERVER DESIGN WITH TIME-VARYING SENSOR DELAY
96 6.4 EXAMPLES 97 6.5 NOTES AND REFERENCES 101 PART II ADAPTIVE CONTROL
7 DELAY-ADAPTIVE FULL-STATE PREDICTOR FEEDBACK 10 CONTENTS XI 9
TRAJECTORY TRACKING UNDER UNKNOWN DELAY AND ODE PARAMETERS ... 135 9.1
PROBLEM FORMULATION 135 9.2 CONTROL DESIGN 137 9.3 SIMULATIONS 140 9.4
PROOF OF GLOBAL STABILITY AND TRACKING 140 9.5 NOTES AND REFERENCES 149
PART III NONLINEAR SYSTEMS 10 NONLINEAR PREDICTOR FEEDBACK 153 10.1
PREDICTOR FEEDBACK DESIGN FOR A SCALAR PLANT WITH A QUADRATIC
NONLINEARITY 155 10.2 NONLINEAR INFINITE-DIMENSIONAL BACKSTEPPING
TRANSFORMATION AND ITS INVERSE 157 10.3 STABILITY 159 10.4 FAILURE OF
THE UNEOMPENSATED CONTROLLER 165 10.5 WHAT WOULD THE NONLINEAR VERSION
OF THE STANDARD SMITH PREDICTOR BE? 168 10.6 NOTES AND REFERENCES 169
11 FORWARD-COMPLETE SYSTEMS 171 11.1 PREDICTOR FEEDBACK FOR GENERAL
NONLINEAR SYSTEMS 171 11.2 A CATEGORIZATION OF SYSTEMS THAT ARE GLOBALLY
STABILIZABLE UNDER PREDICTOR FEEDBACK 173 11.3 THE NONLINEAR
BACKSTEPPING TRANSFORMATION OF THE ACTUATOR STATE 176 11.4 LYAPUNOV
FUNCTIONS FOR THE AUTONOMOUS TRANSPORT PDE 178 11.5 LYAPUNOV-BASED
STABILITY ANALYSIS FOR FORWARD-COMPLETE NONLINEAR SYSTEMS 181 11.6
STABILITY PROOF WITHOUT A LYAPUNOV FUNCTION 187 11.7 NOTES AND
REFERENCES 190 12 STRICT-FEEDFORWARD SYSTEMS 191 12.1 EXAMPLE: A
SECOND-ORDER STRICT-FEEDFORWARD NONLINEAR SYSTEM . 192 12.2 GENERAL
STRICT-FEEDFORWARD NONLINEAR SYSTEMS: INTEGRATOR FORWARDIN X CONTENTS
13 LINEARIZABLE STRICT-FEEDFORWARD SYSTEMS 217 13.1 LINEARIZABLE
STRICT-FEEDFORWARD SYSTEMS 218 13.2 INTEGRATOR FORWARDING (SJK)
ALGORITHM APPLIED TO LINEARIZABLE STRICT-FEEDFORWARD SYSTEMS 218 13.3
TWO SETS OF LINEARIZING COORDINATES 219 13.4 PREDICTOR FEEDBACK FOR
LINEARIZABLE STRICT-FEEDFORWARD SYSTEMS.. 220 13.5 EXPLICIT CLOSED-LOOP
SOLUTIONS FOR LINEARIZABLE STRICT- FEEDFORWARD SYSTEMS 223 13.6 EXAMPLES
WITH LINEARIZABLE STRICT-FEEDFORWARD SYSTEMS 227 13.7 NOTES AND
REFERENCES 230 PARTRV PDE-ODE CASCADES 14 ODES WITH GENERAL
TRANSPORT-LIKE ACTUATOR DYNAMICS 235 14.1 FIRST-ORDER HYPERBOLIC PARTIAL
INTEGRO-DIFFERENTIAL EQUATIONS 235 14.2 EXAMPLES OF EXPLICIT DESIGN 242
14.3 KORTEWEG-DE VRIES-LIKE EQUATION 243 14.4 SIMULATION EXAMPLE 246
14.5 ODE WITH ACTUATOR DYNAMICS GIVEN BY A GENERAL FIRST-ORDER
HYPERBOLIC PIDE 246 14.6 AN ODE WITH PURE ADVECTION-REACTION ACTUATOR
DYNAMICS 250 14.7 NOTES AND REFERENCES 251 15 ODES WITH HEAT PDE
ACTUATOR DYNAMICS 253 15.1 STABILIZATION WITH FULL-STATE FEEDBACK 254
15.2 EXAMPLE: HEAT PDE ACTUATOR DYNAMICS 261 15.3 ROBUSTNESS TO
DIFFUSION COEFFICIENT UNCERTAINTY 262 15.4 EXPRESSING THE COMPENSATOR IN
TERMS OF INPUT SIGNAL RATHER THAN HEAT EQUATION STATE 264 15.5 ON
DIFFERENCES BETWEEN COMPENSATION OF DELAY DYNAMICS AND DIFFUSIO CONTENTS
XIII 17 OBSERVERS FOR ODES INVOLVING PDE SENSOR AND ACTUATOR DYNAMICS .
305 17. 1 OBSERVER FOR ODE WITH HEAT PDE SENSOR DYNAMICS 306 17.2
EXAMPLE: HEAT PDE SENSOR DYNAMICS 309 17.3 OBSERVER-BASED CONTROLLER FOR
ODES WITH HEAT PDE ACTUATOR DYNAMICS 310 17.4 OBSERVER FOR ODE WITH WAVE
PDE SENSOR DYNAMICS 316 17.5 EXAMPLE: WAVE PDE SENSOR DYNAMICS 320 17.6
OBSERVER-BASED CONTROLLER FOR ODES WITH WAVE PDE ACTUATOR DYNAMICS 322
17.7 NOTES AND REFERENCES 327 PART V DELAY-PDE AND PDE-PDE CASCADES 18
UNSTABLE REACTION-DIFFUSION PDE WITH INPUT DELAY 33 1 18.1 CONTROL
DESIGN FOR THE UNSTABLE REACTION-DIFFUSION PDE WITH INPUT DELAY 331 18.2
THE BASELINE DESIGN (D = 0) FOR THE UNSTABLE REACTION-DIFFUSION PDE 334
18.3 INVERSE BACKSTEPPING TRANSFORMATIONS 335 18.4 STABILITY OF THE
TARGET SYSTEM (W.Z) 336 18.5 STABILITY OF THE SYSTEM IN THE ORIGINAL
VARIABLES (U.V) 339 18.6 ESTIMATES FOR THE TRANSFORMATION KERNELS 341
18.7 EXPLICIT SOLUTIONS FOR THE CONTROL GAINS 349 18.8 EXPLICIT
SOLUTIONS OF THE CLOSED-LOOP SYSTEM 350 18.9 NOTES AND REFERENCES 354 19
ANTISTABLE WAVE PDE WITH INPUT DELAY 357 19.1 CONTROL DESIGN FOR
ANTISTABLE WAVE PDE WITH INPUT DELAY 357 19. XIV CONTENTS C LYAPUNOV
STABILITY AND ISS FOR NONLINEAR ODES 403 C. 1 LYAPUNOV STABILITY AND
CLASS- JET FUNCTIONS 403 C.2 INPUT-TO-STATE STABILITY 406 D BESSEL
FUNCTIONS 413 D.I BESSEL FUNCTION J N 413 D.2 MODIFIED BESSEL FUNCTION
/* 414 E PARAMETER PROJECTION 417 F STRICT-FEEDFORWARD SYSTEMS: A
GENERAL DESIGN 421 F.I THE CLASS OF SYSTEMS 421 F.2 THE
SEPULCHRE-JANKOVIC-KOKOTOVIC ALGORITHM 422 G STRICT-FEEDFORWARD SYSTEMS:
A LINEARIZABLE CLASS 425 G.I LINEARIZABILITY OF FEEDFORWARD SYSTEMS 425
G.2 ALGORITHMS FOR LINEARIZABLE FEEDFORWARD SYSTEMS 428 H
STRICT-FEEDFORWARD SYSTEMS: NOT LINEARIZABLE 441 H. 1 ALGORITHMS FOR
NONLINEARIZABLE FEEDFORWARD SYSTEMS 441 H.2 BLOCK-FORWARDING 444 H.3
INTERLACED FEEDFORWARD-FEEDBACK SYSTEMS 448 REFERENCES 453 INDEX 465
|
| any_adam_object | 1 |
| author | Krstic, Miroslav 1964- |
| author_GND | (DE-588)118153315 |
| author_facet | Krstic, Miroslav 1964- |
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| bvnumber | BV036756883 |
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| dewey-ones | 515 - Analysis 629 - Other branches of engineering |
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| dewey-search | 515.35 629.8312 515.642 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Book |
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| id | DE-604.BV036756883 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:47:25Z |
| institution | BVB |
| isbn | 9780817648763 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020674036 |
| oclc_num | 488667339 |
| open_access_boolean | |
| owner | DE-83 DE-29T |
| owner_facet | DE-83 DE-29T |
| physical | XIV, 466 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Systems & control |
| spelling | Krstic, Miroslav 1964- Verfasser (DE-588)118153315 aut Delay compensation for nonlinear, adaptive, and PDE systems Miroslav Krstic Boston, Mass. [u.a.] Birkhäuser 2009 XIV, 466 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Systems & control Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Adaptivregelung (DE-588)4000457-0 gnd rswk-swf Zeitverzögertes System (DE-588)4780926-7 gnd rswk-swf System mit verteilten Parametern (DE-588)4058803-8 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 s DE-604 System mit verteilten Parametern (DE-588)4058803-8 s Kontrolltheorie (DE-588)4032317-1 s Zeitverzögertes System (DE-588)4780926-7 s Adaptivregelung (DE-588)4000457-0 s Erscheint auch als Online-Ausgabe 978-0-8176-4877-0 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020674036&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Krstic, Miroslav 1964- Delay compensation for nonlinear, adaptive, and PDE systems Kontrolltheorie (DE-588)4032317-1 gnd Adaptivregelung (DE-588)4000457-0 gnd Zeitverzögertes System (DE-588)4780926-7 gnd System mit verteilten Parametern (DE-588)4058803-8 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| subject_GND | (DE-588)4032317-1 (DE-588)4000457-0 (DE-588)4780926-7 (DE-588)4058803-8 (DE-588)4199298-2 |
| title | Delay compensation for nonlinear, adaptive, and PDE systems |
| title_auth | Delay compensation for nonlinear, adaptive, and PDE systems |
| title_exact_search | Delay compensation for nonlinear, adaptive, and PDE systems |
| title_full | Delay compensation for nonlinear, adaptive, and PDE systems Miroslav Krstic |
| title_fullStr | Delay compensation for nonlinear, adaptive, and PDE systems Miroslav Krstic |
| title_full_unstemmed | Delay compensation for nonlinear, adaptive, and PDE systems Miroslav Krstic |
| title_short | Delay compensation for nonlinear, adaptive, and PDE systems |
| title_sort | delay compensation for nonlinear adaptive and pde systems |
| topic | Kontrolltheorie (DE-588)4032317-1 gnd Adaptivregelung (DE-588)4000457-0 gnd Zeitverzögertes System (DE-588)4780926-7 gnd System mit verteilten Parametern (DE-588)4058803-8 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| topic_facet | Kontrolltheorie Adaptivregelung Zeitverzögertes System System mit verteilten Parametern Differentialgleichung mit nacheilendem Argument |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020674036&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT krsticmiroslav delaycompensationfornonlinearadaptiveandpdesystems |