Delay effects on stability: a robust control approach
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2001
|
| Series: | Lecture notes in control and information sciences
269 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 383 S. Ill., graph. Darst. |
| ISBN: | 1852332913 |
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Record in the Search Index
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| adam_text | CONTENTS NOTATIONS AND ACRONYMS XV 1 PRELIMINARIES 1 1.1 PROBLEM
STATEMENT 3 1.1.1 SYSTEM CLASS 3 1.1.2 DELAY EFFECTS ON STABILITY: OPEN
PROBLEM 5 1.1.3 DELAY: AN UNCERTAINTY INTERPRETATION 6 1.2 MODELS:
REPRESENTATIONS AND TRANSFORMATIONS 8 1.2.1 SYSTEM REPRESENTATIONS 9
1.2.2 ON THE TRANSFORMATIONS 11 1.2.3 DISCRETE/DISTRIBUTED DELAYS 14
1.2.4 PROPAGATION MODELS 16 1.3 BASIC RESULTS IN RFDE 20 1.3.1 THE
NOTION OF STATE 20 1.3.2 SOLUTIONS: DEFINITIONS, EXISTENCE, UNIQUENESS
21 1.3.3 STEP METHOD AND SMOOTHNESS 22 1.4 STABILITY IN RFDE 24 1.4.1
BASIC DEFINITIONS 24 1.4.2 CHARACTERISTIC EQUATIONS 25 1.4.3 SOME
ANALYTICAL AND GRAPHICAL TESTS 27 1.4.4 LIAPUNOV S SECOND METHOD 30 1.5
BASIC NOTIONS AND STABILITY IN NFDE 33 1.5.1 BASIC RESULTS 33 1.5.2
CHARACTERISTIC EQUATIONS 34 1.5.3 LIAPUNOV S SECOND METHOD 35 1.6 BASIC
RESULTS IN LOSSLESS PROPAGATION MODELS 36 1.6.1 SOME DEFINITIONS 37
1.6.2 CHARACTERISTIC EQUATION 38 1.6.3 CONNECTIONS WITH THE SOLUTIONS OF
HYPERBOLIC PDE .... 38 1.6.4 CONNECTIONS WITH NEUTRAL SYSTEMS 39 1.6.5
STEP METHOD 40 1.6.6 SOME REMARKS ON IDE 40 1.7 SPECIAL TOPICS:
DEGENERATE LIAPUNOV 41 1.7.1 MORE DEFINITIONS 41 CONTENTS 1.7.2
STABILITY RESULT 42 1.8 NOTES AND COMMENTS 43 1.8.1 DELAY EQUATIONS: A
BRIEF HISTORY 44 1.8.2 ABOUT THE MONOGRAPH 46 EXAMPLES 47 2.1 TRANSPORT
AND COMMUNICATION DELAYS 48 2.1.1 CHEMICAL ENGINEERING 48 2.1.2
COMBUSTION MODELS 51 2.1.3 CONTROL STRATEGY IN VEHICLE FOLLOWING SYSTEMS
54 2.1.4 TELEMANIPULATION SYSTEMS 57 2.1.5 CONGESTION AVOIDANCE IN
HIGH-SPEED INTERNET 60 2.1.6 NEURAL NETWORKS 63 2.2 DELAY MEASUREMENTS
66 2.2.1 ACTIVE DISPLACEMENT CONTROL (FLEXIBLE STRUCTURE) 66 2.2.2
ROBOTS IN CONTACT WITH RIGID ENVIRONMENTS 68 2.3 HEREDITY: BIOLOGY AND
POPULATION DYNAMICS 71 2.3.1 SIMPLIFIED POPULATION GROWTH MODEL 71 2.3.2
INTERCONNECTION STRUCTURE: A SOURCE OF MODELS 72 2.3.3 SOME PULSE
CIRCULATION MODELS 74 2.4 DYNAMICS: REDUCING / INDUCING DELAYS 76 2.4.1
SMITH PRINCIPLE: REDUCING DELAYS 76 2.4.2 OSCILLATIONS AND DELAYED
OUTPUT 78 2.4.3 DELAYED FEEDBACK: CHAOTIC AND HELICOPTER DYNAMICS ....
80 2.5 PROPAGATION PHENOMENA 83 2.5.1 ELECTRICAL-CIRCUIT MODELS 83 2.5.2
HYDRAULIC ENGINEERING MODELS 85 STABILITY SETS AND REGIONS 87 3.1
DEFINITIONS AND BASIC IDEAS 87 3.1.1 DISCRETE DELAYS: DEFINITIONS AND
RELATED REMARKS 87 3.1.2 EXTENSIONS TO TIME-VARYING DELAYS 95 3.1.3 MORE
GENERAL DISTRIBUTED DELAYS 96 3.1.4 ON NEUTRAL SYSTEMS AND LOSSLESS
PROPAGATION 98 3.2 MODEL TRANSFORMATIONS: RETARDED CASE 100 3.2.1 FIXED
FIRST-ORDER TRANSFORMATION 100 3.2.2 FIXED SECOND-ORDER TRANSFORMATIONS
103 3.2.3 NEUTRAL TRANSFORMATIONS 106 3.2.4 PARAMETRIZED FIRST-ORDER
TRANSFORMATIONS 107 3.2.5 CONTROL INTERPRETATIONS ILL 3.3 MODEL
TRANSFORMATIONS: NEUTRAL CASE 112 3.3.1 FIXED FIRST-ORDER
TRANSFORMATIONS 112 3.3.2 NEUTRAL TRANSFORMATIONS 113 3.3.3 PARAMETRIZED
FIRST-ORDER TRANSFORMATIONS 115 3.3.4 ON LOSSLESS PROPAGATION MODEL
TRANSFORMATIONS 116 3.4 SCALAR SYSTEMS 118 CONTENTS XI 3.4.1 RETARDED
CASE 119 3.4.2 NEUTRAL CASE 124 3.5 ANALYSIS CONTROL-BASED TECHNIQUES
127 3.5.1 FREQUENCY-DOMAIN: REDUCING TECHNIQUES 127 3.5.2 LIAPUNOV
METHOD: LMI SOLUTIONS 129 4 REDUCIBLE DISCRETE DELAYS AND LTIS 131 4.1
INTRODUCTORY REMARKS 131 4.1.1 TSYPKIN AND FREQUENCY-SWEEPING 132 4.1.2
KAMEN AND MULTIVARIABLE POLYNOMIALS 133 4.1.3 PSEUDO-DELAY TECHNIQUE AND
QUASIPOLYNOMIALS 136 4.1.4 SOME NECESSARY DELAY-INDEPENDENT CONDITIONS
138 4.2 LAGRANGE MULTIPLIERS 140 4.2.1 MODEL TRANSFORMATIONS 140 4.2.2
DELAY TRANSFORMATIONS AND APPROXIMATIONS 142 4.2.3 CONSTRUCTING SCALINGS
145 4.3 WELL-POSSEDNESS OF ASSOCIATED SYSTEMS 147 4.3.1 DEFINING
INTERCONNECTION SCHEMES 149 4.3.2 FREQUENCY-SWEEPING TESTS 150 4.3.3
VARIOUS CRITERIA AND RELATED REMARKS 160 4.3.4 SPECTRAL RADIUS AND
CONTROL INTERPRETATIONS 166 4.3.5 STILL MAXIMUM PRINCIPLE IDEA 167 4.3.6
ON THE COMPLEXITY ISSUES 168 4.4 MATRIX PENCILS TECHNIQUES 169 4.4.1
DELAY-INDEPENDENT CRITERIA 169 4.4.2 DELAY-DEPENDENT CRITERIA: FIRST
DELAY INTERVAL 173 4.4.3 DELAY SWITCHES: GENERAL DELAY INTERVALS 174
4.4.4 HYPERBOLICITY 177 4.4.5 RELATED REMARKS IN THE GENERAL CASE 180
4.5 DELAY REDUCTION IN LOSSLESS PROPAGATION 180 4.5.1 FREQUENCY-SWEEPING
TESTS 181 4.5.2 CONTROL INTERPRETATIONS 184 4.5.3 FURTHER COMMENTS 186
4.6 SOME EXAMPLES 187 4.6.1 CONTROLLING SIMPLE DELAY SYSTEMS 187 4.6.2 A
LINEARIZED NEURAL NETWORK MODEL 189 4.6.3 DELAY MEASUREMENTS IN ACTIVE
DISPLACEMENT 190 4.6.4 INTEGRO-DIFFERENTIAL MODELS FOR COMMODITY MARKETS
.... 192 4.6.5 DELAY CIRCUITS ANALYSIS IN VLSI SYSTEMS 193 4.6.6
LOSSLESS PROPAGATION 193 5 LIAPUNOV S SECOND METHOD AND LMIS 197 5.1
SIMPLE QUADRATIC LIAPUNOV CANDIDATES 198 5.1.1 SCALAR CASE 198 5.1.2
LIAPUNOV-RAZUMIKHIN FUNCTIONS 205 5.1.3 LIAPUNOV-KRASOVSKII FUNCTIONALS
207 XII CONTENTS 5.2 COMPLETE QUADRATIC LIAPUNOV CANDIDATES 209 5.3
CONSTRUCTING AND INTERPRETING LIAPUNOV 212 5.3.1 AN ENERGY-BASED
CONSTRUCTION 213 5.3.2 CONTROL LIAPUNOV FUNCTIONS 216 5.3.3 GENERALIZED
POPOV THEORY INTERPRETATIONS 218 5.3.4 LIAPUNOV AND FREQUENCY-DOMAIN
INTERPRETATIONS 219 5.3.5 MODEL TRANSFORMATIONS AND DISCRETIZATION 220
5.4 MODEL TRANSFORMATIONS IN RETARDED SYSTEMS 220 5.4.1 NEUTRAL MODEL
TRANSFORMATIONS 221 5.4.2 PARAMETRIZED MODEL TRANSFORMATION 223 5.5
MODEL TRANSFORMATION IN NEUTRAL SYSTEMS 227 5.5.1 NEUTRAL
TRANSFORMATIONS 228 5.5.2 PARAMETRIZED MODEL TRANSFORMATIONS 233 5.6
SIMPLE DISTRIBUTED DELAY SYSTEMS 236 5.6.1 ON SOME MODEL TRANSFORMATIONS
236 5.6.2 DISCRETIZATION OF LIAPUNOV FUNCTIONALS 237 5.7 ON COMPARISON
PRINCIPLE 245 5.7.1 MATRIX MEASURES: CONSTANT DELAYS 245 5.7.2 MATRIX
MEASURES: TIME-VARYING DELAYS 246 5.7.3 OTHER MEASURES: M-MATRICES 248
5.8 EXAMPLES 248 5.8.1 TRANSPORT DELAY IN CHEMICAL REACTIONS 249 5.8.2 A
SIMPLE MODEL WITH DELAY IN FORCE FEEDBACK 250 5.8.3 ON SOME NUCLEAR
REACTORS MODELS 251 6 ROBUSTNESS ISSUES IN CLOSED-LOOP 253 6.1 GENERAL
IDEAS 253 6.1.1 MEMORYLESS CONTROLLERS 254 6.1.2 INPUT DELAYS 254 6.1.3
NOTES AND COMMENTS 255 6.2 DELAY ROBUSTNESS OF SMITH CONTROLLERS 255
6.2.1 PROBLEM FORMULATION 255 6.2.2 DELAY EFFECTS 256 6.3 CLOSED-LOOP
STABILITY OF DELAY INPUT SYSTEMS 259 6.3.1 PROBLEM FORMULATION 259 6.3.2
RAZUMIKHIN APPROACH 261 6.3.3 IQC APPROACH 261 6.3.4 ARTSTEIN S MODEL
REDUCTION 263 6.4 GENERALIZED POPOV THEORY IN DELAY SYSTEMS 265 6.4.1
DISCRETE DELAYS CASE 265 6.4.2 EXTENSIONS TO CONVOLUTION EQUATIONS 270
6.5 PASSIVITY OF DELAY SYSTEMS 277 6.5.1 POINTWISE DELAY CASE 278 6.5.2
EXTENSIONS TO SOME CONVOLUTION OPERATORS 280 CONTENTS XIII 7
APPLICATIONS 283 7.1 DELAY EFFECTS IN COMBUSTION MODELS STABILITY 283
7.1.1 ASSOCIATED LOW-ORDER SYSTEMS 283 7.1.2 SECOND-ORDER SYSTEM 285
7.1.3 THIRD-ORDER SYSTEM 289 7.2 DELAY EFFECTS IN AUTONOMOUS CRUISE
CONTROL 294 7.2.1 PROBLEM FORMULATION 295 7.2.2 INDIVIDUAL VEHICLE
STABILITY 295 7.2.3 AVOIDING SLINKY EFFECTS 297 7.3 SIMPLE TIME-DELAY
ADAPTIVE CONTROLLERS 298 7.3.1 PROBLEM FORMULATION AND SPECIAL CASES 299
7.3.2 MODEL TRANSFORMATION AND STABILITY ANALYSIS 305 7.3.3 FURTHER
COMMENTS 308 7.3.4 EXTENSIONS TO THE CASE WHEN ALL STATES ARE ACCESSIBLE
. . . 310 7.4 OUTPUT FEEDBACK IN PRESENCE OF DELAYS 312 7.4.1 PROBLEM
FORMULATION 313 7.4.2 EXISTENCE RESULTS 314 7.4.3 CONSTRUCTING
ALGORITHMS: A CASE STUDY 316 7.4.4 STABILIZING OSCILLATIONS BY DELAYED
OUTPUT 317 7.5 CONTACT INSTABILITY PHENOMENON 318 7.5.1 PROBLEM
FORMULATION 318 7.5.2 CONDITIONS FOR INTERACTION FORCE CONSTANT NEGATIVE
SIGN . . 319 7.5.3 BOUNCING PHASE ANALYSIS 321 7.5.4 FURTHER REMARKS 325
A VARIOUS DEFINITIONS 327 A.I MATRIX MEASURES AND M-MATRICES 327 A.1.1
MATRIX MEASURES: DEFINITIONS AND PROPERTIES 327 A.1.2 M-MATRICES:
DEFINITIONS AND PROPERTIES 328 A.2 //-ANALYSIS 328 A.2.1 STRUCTURED
SINGULAR VALUE 328 A.2.2 SIMPLE PROPERTIES 329 A.3 ON THE COMPLEXITY OF
DECISION PROBLEMS 330 A.3.1 V AND AFV PROBLEMS 330 A.3.2
A/ P-COMPLETENESS, A/ P-HARDNESS 330 A.4 MATRIX PENCILS 330 A.4.1
DEFINITIONS 330 A.4.2 DICHOTOMY 331 A.5 PASSIVITY THEORY 331 A.5.1
PASSIVE SYSTEMS 331 A.5.2 STRICTLY PASSIVE SYSTEMS 331 B USEFUL LEMMAS
333 B.I BARBALAT LEMMA 333 B.2 KYP LEMMA 333 B.3 IQC FILTER CONSTRUCTION
334 XIV CONTENTS C COMPUTATIONAL ASPECTS 335 C.I KRONECKER SUMS AND
PRODUCTS 335 C.I.I DEFINITIONS 335 C.I.2 BASIC PROPERTIES 335 C.I.3 MORE
GENERAL TENSOR PRODUCTS AND SUMS 337 C.2 LINEAR MATRIX INEQUALITY (LMI)
338 C.2.1 DEFINITION 338 C.2.2 OPTIMIZATION PROBLEMS 338 C.2.3 C.2.4
ELIMINATION LEMMA 339 D GENERALIZED POPOV THEORY 341 D.I POPOV OBJECTS
341 D.I.I POPOV TRIPLETS 341 D.I.2 KYP SYSTEM IN J FORM 341 D.I.3
STABILIZING SOLUTIONS 342 D.I.4 DISCONJUGACY 342 D.2 BASIC RESULTS 342
D.2.1 SOME MATRIX PENCIL CHARACTERIZATIONS 342 D.2.2 SOME REMARKS ON
LUR E SYSTEMS 343 BIBLIOGRAPHY 345 INDEX 381
|
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| id | DE-604.BV013694971 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:50:24Z |
| institution | BVB |
| isbn | 1852332913 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009359121 |
| oclc_num | 222898040 |
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| owner | DE-739 DE-703 DE-706 DE-634 DE-83 DE-20 |
| owner_facet | DE-739 DE-703 DE-706 DE-634 DE-83 DE-20 |
| physical | XVI, 383 S. Ill., graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences Engineering online library |
| spelling | Niculescu, Silviu-Iulian 1968- Verfasser (DE-588)122827368 aut Delay effects on stability a robust control approach Silviu-Iulian Niculescu Berlin [u.a.] Springer 2001 XVI, 383 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 269 Engineering online library Control theory Stability Robuste Kontrolle (DE-588)4232797-0 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 s Robuste Kontrolle (DE-588)4232797-0 s DE-604 Lecture notes in control and information sciences 269 (DE-604)BV005848579 269 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009359121&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Niculescu, Silviu-Iulian 1968- Delay effects on stability a robust control approach Lecture notes in control and information sciences Control theory Stability Robuste Kontrolle (DE-588)4232797-0 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| subject_GND | (DE-588)4232797-0 (DE-588)4199298-2 |
| title | Delay effects on stability a robust control approach |
| title_auth | Delay effects on stability a robust control approach |
| title_exact_search | Delay effects on stability a robust control approach |
| title_full | Delay effects on stability a robust control approach Silviu-Iulian Niculescu |
| title_fullStr | Delay effects on stability a robust control approach Silviu-Iulian Niculescu |
| title_full_unstemmed | Delay effects on stability a robust control approach Silviu-Iulian Niculescu |
| title_short | Delay effects on stability |
| title_sort | delay effects on stability a robust control approach |
| title_sub | a robust control approach |
| topic | Control theory Stability Robuste Kontrolle (DE-588)4232797-0 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| topic_facet | Control theory Stability Robuste Kontrolle Differentialgleichung mit nacheilendem Argument |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009359121&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005848579 |
| work_keys_str_mv | AT niculescusilviuiulian delayeffectsonstabilityarobustcontrolapproach |