Robust control design using H- methods:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Springer
2000
|
| Series: | Communications and control engineering
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 451 S. graph. Darst. |
| ISBN: | 1852331712 |
Staff View
MARC
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| 245 | 1 | 0 | |a Robust control design using H- methods |c Ian R. Petersen, Valery A. Ugrinovskii and Andrey V. Savkin |
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| 300 | |a XVI, 451 S. |b graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804127827647266816 |
|---|---|
| adam_text | Contents
Frequently used notation xv
1. Introduction 1
1.1 The concept of an uncertain system 1
1.2 Overview of the book 5
2. Uncertain systems 19
2.1 Introduction 19
2.2 Uncertain systems with norm bounded uncertainty 20
2.2.1 Special case: sector bounded nonlinearities 20
2.3 Uncertain systems with integral quadratic constraints 22
2.3.1 Integral quadratic constraints 22
2.3.2 Integral quadratic constraints with weighting coefficients . 25
2.3.3 Integral uncertainty constraints for nonlinear uncertain
systems 26
2.3.4 Averaged integral uncertainty constraints 27
2.4 Stochastic uncertain systems 30
2.4.1 Stochastic uncertain systems with multiplicative noise . . 31
2.4.2 Stochastic uncertain systems with additive noise: Finite
horizon relative entropy constraints 36
2.4.3 Stochastic uncertain systems with additive noise: Infinite
horizon relative entropy constraints 44
x Contents
3. H°° control and related preliminary results 55
3.1 Riccati equations 55
3.2 H°° control 61
3.2.1 The standard H°° control problem 63
3.2.2 H°° control with transients 74
3.2.3 H°° control of time varying systems 79
3.3 Risk sensitive control 81
3.3.1 Exponential of integral cost analysis 82
3.3.2 Finite horizon risk sensitive control 85
3.3.3 Infinite horizon risk sensitive control 89
3.4 Quadratic stability 94
3.5 A connection between H°° control and the absolute stabilizability
of uncertain systems 95
3.5.1 Definitions 96
3.5.2 The equivalence between absolute stabilization and H°°
control 98
4. The S procedure 103
4.1 Introduction 103
4.2 An S procedure result for a quadratic functional and one quadratic
constraint 105
4.2.1 Proof of Theorem 4.2.1 106
4.3 An S procedure result for a quadratic functional and k quadratic
constraints 110
4.4 An S procedure result for nonlinear functionals 114
4.5 An S procedure result for averaged sequences 121
4.6 An S procedure result for probability measures with constrained
relative entropies . 121
5. Guaranteed cost control of time invariant uncertain systems 125
5.1 Introduction 125
5.2 Optimal guaranteed cost control for uncertain linear systems with
norm bounded uncertainty 127
5.2.1 Quadratic guaranteed cost control 127
5.2.2 Optimal controller design 129
5.2.3 Illustrative example 135
5.3 State feedback minimax optimal control of uncertain systems
with structured uncertainty 137
5.3.1 Definitions 138
5.3.2 Construction of a guaranteed cost controller 141
5.3.3 Illustrative example 151
5.4 Output feedback minimax optimal control of uncertain systems
with unstructured uncertainty 155
5.4.1 Definitions 155
Contents xi
5.4.2 A necessary and sufficient condition for guaranteed cost
stabilizability 157
5.4.3 Optimizing the guaranteed cost bound 160
5.4.4 Illustrative example 164
5.5 Guaranteed cost control via a Lyapunov function of the Lur e
Postnikov form 168
5.5.1 Problem formulation 168
5.5.2 Controller synthesis via a Lyapunov function of the
Lur e Postnikov form 172
5.5.3 Illustrative Example 177
5.6 Conclusions 179
6. Finite horizon guaranteed cost control 181
6.1 Introduction 181
6.2 The uncertainty averaging approach to state feedback minimax
optimal control 182
6.2.1 Problem statement 182
6.2.2 A necessary and sufficient condition for the existence of
a state feedback guaranteed cost controller 185
6.3 The uncertainty averaging approach to output feedback optimal
guaranteed cost control 193
6.3.1 Problem statement 193
6.3.2 A necessary and sufficient condition for the existence of
a guaranteed cost controller 195
6.4 Robust control with a terminal state constraint 200
6.4.1 Problem statement 200
6.4.2 A criterion for robust controllability with respect to a ter¬
minal state constraint 202
6.4.3 Illustrative example 205
6.5 Robust control with rejection of harmonic disturbances 208
6.5.1 Problem statement 208
6.5.2 Design of a robust controller with harmonic disturbance
rejection 210
6.6 Conclusions 214
7. Absolute stability, absolute stabilization and structured dissipativity 215
7.1 Introduction 215
7.2 Robust stabilization with a Lyapunov function of the Lur e Post¬
nikov form 217
7.2.1 Problem statement 217
7.2.2 Design of a robustly stabilizing controller 218
7.3 Structured dissipativity and absolute stability for nonlinear uncer¬
tain systems 230
7.3.1 Preliminary remarks 230
7.3.2 Definitions 231
xii Contents
7.3.3 A connection between dissipativity and structured dissi
pativity 233
7.3.4 Absolute stability for nonlinear uncertain systems 237
7.4 Conclusions 243
8. Robust control of stochastic uncertain systems 245
8.1 Introduction 245
8.2 H°° control of stochastic systems with multiplicative noise . . . .247
8.2.1 A stochastic differential game 249
8.2.2 Stochastic H°° control with complete state measurements 265
8.2.3 Illustrative example 273
8.3 Absolute stabilization and minimax optimal control of stochastic
uncertain systems with multiplicative noise 276
8.3.1 The stochastic guaranteed cost control problem 276
8.3.2 Stochastic absolute stabilization 280
8.3.3 State feedback minimax optimal control 285
8.4 Output feedback finite horizon minimax optimal control of
stochastic uncertain systems with additive noise 290
8.4.1 Definitions 290
8.4.2 Finite horizon minimax optimal control with stochastic
uncertainty constraints 294
8.4.3 Design of a finite horizon minimax optimal controller . .300
8.5 Output feedback infinite horizon minimax optimal control of
stochastic uncertain systems with additive noise 307
8.5.1 Definitions 307
8.5.2 Absolute stability and absolute stabilizability 310
8.5.3 A connection between risk sensitive optimal control and
minimax optimal control 316
8.5.4 Design of the infinite horizon minimax optimal controller 330
8.5.5 Connection to H°° control 338
8.5.6 Illustrative example 339
8.6 Conclusions 344
9. Nonlinear versus linear control 347
9.1 Introduction 347
9.2 Nonlinear versus linear control in the absolute stabilizability of
uncertain systems with structured uncertainty 348
9.2.1 Problem statement 348
9.2.2 Output feedback nonlinear versus linear control 351
9.2.3 State feedback nonlinear versus linear control 361
9.3 Decentralized robust state feedback H°° control for uncertain
large scale systems 361
9.3.1 Preliminary remarks 361
9.3.2 Uncertain large scale systems 364
9.3.3 Decentralized controller design 367
Contents xiii
9.4 Nonlinear versus linear control in the robust stabilizability of lin¬
ear uncertain systems via a fixed order output feedback controller 375
9.4.1 Definitions 375
9.4.2 Design of a fixed order output feedback controller .... 378
9.5 Simultaneous H°° control of a finite collection of linear plants
with a single nonlinear digital controller 383
9.5.1 Problem statement 383
9.5.2 The design of a digital output feedback controller 384
9.6 Conclusions 392
10. Missile autopilot design via minimax optimal control of stochastic un¬
certain systems 393
10.1 Introduction 393
10.2 Missile autopilot model 394
10.2.1 Uncertain system model 395
10.3 Robust controller design 399
10.3.1 State feedback controller design 399
10.3.2 Output feedback controller design 399
10.4 Conclusions 401
11. Robust control of acoustic noise in a duct via minimax optimal LQG
control 403
11.1 Introduction 403
11.2 Experimental setup and modeling 404
11.2.1 Experimental setup 404
11.2.2 System identification and nominal modelling 405
11.2.3 Uncertainty modelling 405
11.3 Controller design 408
11.4 Experimental results 414
11.5 Conclusions 417
A. Basic duality relationships for relative entropy 419
B. Metrically transitive transformations 421
References 427
Index 449
|
| any_adam_object | 1 |
| author | Petersen, Ian R. 1956- Ugrinovskii, Valery A. Savkin, Andrey V. 1965- |
| author_GND | (DE-588)121477908 (DE-588)121477916 |
| author_facet | Petersen, Ian R. 1956- Ugrinovskii, Valery A. Savkin, Andrey V. 1965- |
| author_role | aut aut aut |
| author_sort | Petersen, Ian R. 1956- |
| author_variant | i r p ir irp v a u va vau a v s av avs |
| building | Verbundindex |
| bvnumber | BV013127902 |
| callnumber-first | T - Technology |
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| callnumber-search | TJ217.2 |
| callnumber-sort | TJ 3217.2 |
| callnumber-subject | TJ - Mechanical Engineering and Machinery |
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| classification_tum | MSR 618f |
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| dewey-full | 629.8/312 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.8/312 |
| dewey-search | 629.8/312 |
| dewey-sort | 3629.8 3312 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Book |
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| id | DE-604.BV013127902 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:39:32Z |
| institution | BVB |
| isbn | 1852331712 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008944457 |
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| owner | DE-703 DE-91 DE-BY-TUM DE-706 |
| owner_facet | DE-703 DE-91 DE-BY-TUM DE-706 |
| physical | XVI, 451 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| series2 | Communications and control engineering |
| spelling | Petersen, Ian R. 1956- Verfasser (DE-588)121477908 aut Robust control design using H- methods Ian R. Petersen, Valery A. Ugrinovskii and Andrey V. Savkin London [u.a.] Springer 2000 XVI, 451 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Communications and control engineering Commande H-infini ram Commande automatique ram Commande robuste ram Commande, Théorie de la ram Robust control H-unendlich-Kontrolltheorie (DE-588)4488490-4 gnd rswk-swf Regelungssystem (DE-588)4134712-2 gnd rswk-swf Unsicherheit (DE-588)4186957-6 gnd rswk-swf Reglerentwurf (DE-588)4177447-4 gnd rswk-swf Robuste Kontrolle (DE-588)4232797-0 gnd rswk-swf Robuste Regelung (DE-588)4206985-3 gnd rswk-swf Regelungssystem (DE-588)4134712-2 s Unsicherheit (DE-588)4186957-6 s Reglerentwurf (DE-588)4177447-4 s Robuste Regelung (DE-588)4206985-3 s H-unendlich-Kontrolltheorie (DE-588)4488490-4 s 1\p DE-604 Robuste Kontrolle (DE-588)4232797-0 s 2\p DE-604 Ugrinovskii, Valery A. Verfasser aut Savkin, Andrey V. 1965- Verfasser (DE-588)121477916 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008944457&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Petersen, Ian R. 1956- Ugrinovskii, Valery A. Savkin, Andrey V. 1965- Robust control design using H- methods Commande H-infini ram Commande automatique ram Commande robuste ram Commande, Théorie de la ram Robust control H-unendlich-Kontrolltheorie (DE-588)4488490-4 gnd Regelungssystem (DE-588)4134712-2 gnd Unsicherheit (DE-588)4186957-6 gnd Reglerentwurf (DE-588)4177447-4 gnd Robuste Kontrolle (DE-588)4232797-0 gnd Robuste Regelung (DE-588)4206985-3 gnd |
| subject_GND | (DE-588)4488490-4 (DE-588)4134712-2 (DE-588)4186957-6 (DE-588)4177447-4 (DE-588)4232797-0 (DE-588)4206985-3 |
| title | Robust control design using H- methods |
| title_auth | Robust control design using H- methods |
| title_exact_search | Robust control design using H- methods |
| title_full | Robust control design using H- methods Ian R. Petersen, Valery A. Ugrinovskii and Andrey V. Savkin |
| title_fullStr | Robust control design using H- methods Ian R. Petersen, Valery A. Ugrinovskii and Andrey V. Savkin |
| title_full_unstemmed | Robust control design using H- methods Ian R. Petersen, Valery A. Ugrinovskii and Andrey V. Savkin |
| title_short | Robust control design using H- methods |
| title_sort | robust control design using h methods |
| topic | Commande H-infini ram Commande automatique ram Commande robuste ram Commande, Théorie de la ram Robust control H-unendlich-Kontrolltheorie (DE-588)4488490-4 gnd Regelungssystem (DE-588)4134712-2 gnd Unsicherheit (DE-588)4186957-6 gnd Reglerentwurf (DE-588)4177447-4 gnd Robuste Kontrolle (DE-588)4232797-0 gnd Robuste Regelung (DE-588)4206985-3 gnd |
| topic_facet | Commande H-infini Commande automatique Commande robuste Commande, Théorie de la Robust control H-unendlich-Kontrolltheorie Regelungssystem Unsicherheit Reglerentwurf Robuste Kontrolle Robuste Regelung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008944457&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT petersenianr robustcontroldesignusinghmethods AT ugrinovskiivalerya robustcontroldesignusinghmethods AT savkinandreyv robustcontroldesignusinghmethods |