H control and its applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Springer
1998
|
| Series: | Lecture notes in control and information sciences
235 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 337 - 347 |
| Physical Description: | XI, 351 S. graph. Darst. |
| ISBN: | 1852330260 |
Staff View
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| 245 | 1 | 0 | |a H control and its applications |c Ben M. Chen |
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| 300 | |a XI, 351 S. |b graph. Darst. | ||
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| 490 | 1 | |a Lecture notes in control and information sciences |v 235 | |
| 500 | |a Literaturverz. S. 337 - 347 | ||
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Record in the Search Index
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| adam_text | Contents
1 Introduction 1
1.1 Introduction 1
1.2 Notations and Terminology 3
1.3 Statement of # » Optimization Problem 4
1.4 Preview of Chapters 8
2 Linear System Tools 11
2.1 Jordan and Real Jordan Canonical Forms 12
2.2 Brunovsky and Block Diagonal Controllability Forms 14
2.3 Special Coordinate Basis 20
2.4 Proofs of Properties of Special Coordinate Basis 37
3 Existence Conditions of H^ Suboptimal Controllers 49
3.1 Continuous time Systems 49
3.2 Discrete time Systems 54
4 Bilinear Transformations and Discrete Riccati Equations 59
4.1 Structural Mappings of Bilinear Transformations 60
4.1.1 Continuous time to Discrete time 61
4.1.2 Discrete time to Continuous time 67
4.1.3 Proof of Theorem 4.1.1 72
4.2 Solutions to Discrete time Riccati Equations 86
4.2.1 Solution to a General DARE 86
4.2.2 Solution to an iJoo DARE 90
5 Infima in Continuous time H^ Optimization 101
5.1 Full Information Feedback Case 102
5.2 Output Feedback Case Ill
5.3 Plants with Imaginary Axis Zeros 121
ix
x Contents
6 Solutions to Continuous time Hoo Problem 131
6.1 Full State Feedback 132
6.2 Full Order Output Feedback 140
6.3 Reduced Order Output Feedback 146
6.4 Proofs of Main Results 153
7 Continuous time Hoo Almost Disturbance Decoupling 165
7.1 Introduction 165
7.2 Solvability Conditions 168
7.3 Solutions to Full State Feedback Case 172
7.4 Solutions to Output Feedback Case 179
7.4.1 Full Order Output Feedback 180
7.4.2 Reduced Order Output Feedback 182
7.5 Proofs of Main Results 186
8 Infima in Discrete time Hoo Optimization 203
8.1 Full Information Feedback Case 203
8.2 Output Feedback Case 215
8.3 Plants with Unit Circle Zeros 220
9 Solutions to Discrete time Hoo Problem 223
9.1 Full Information and State Feedbacks 224
9.2 Full Order Output Feedback 229
9.3 Reduced Order Output Feedback 234
10 Discrete time Hoo Almost Disturbance Decoupling 241
10.1 Introduction 241
10.2 Solvability Conditions 243
10.3 Solutions to State and Full Information Feedback Cases 246
10.4 Solutions to Measurement Feedback Case 254
10.4.1 Full Order Output Feedback 255
10.4.2 Reduced Order Output Feedback 258
10.5 Proofs of Main Results 262
11 A Piezoelectric Actuator System Design 283
11.1 Introduction 283
11.2 Linearization of the Nonlinear Hysteretic Dynamics 287
11.3 Formulation of the Problem as an/foo ADDPMS 289
11.4 Final Controller and Simulation Results 297
Contents xi
12 A Gyro stabilized Mirror Targeting System Design 309
12.1 Introduction 309
12.2 The Free Gyro stabilized Mirror System 310
12.3 Controller Design Using an .ffoo Approach 316
12.4 Simulation and Implementation Results 321
13 An Open Problem 333
Bibliography 337
Index 349
|
| adam_txt |
Contents
1 Introduction 1
1.1 Introduction 1
1.2 Notations and Terminology 3
1.3 Statement of # » Optimization Problem 4
1.4 Preview of Chapters 8
2 Linear System Tools 11
2.1 Jordan and Real Jordan Canonical Forms 12
2.2 Brunovsky and Block Diagonal Controllability Forms 14
2.3 Special Coordinate Basis 20
2.4 Proofs of Properties of Special Coordinate Basis 37
3 Existence Conditions of H^ Suboptimal Controllers 49
3.1 Continuous time Systems 49
3.2 Discrete time Systems 54
4 Bilinear Transformations and Discrete Riccati Equations 59
4.1 Structural Mappings of Bilinear Transformations 60
4.1.1 Continuous time to Discrete time 61
4.1.2 Discrete time to Continuous time 67
4.1.3 Proof of Theorem 4.1.1 72
4.2 Solutions to Discrete time Riccati Equations 86
4.2.1 Solution to a General DARE 86
4.2.2 Solution to an iJoo DARE 90
5 Infima in Continuous time H^ Optimization 101
5.1 Full Information Feedback Case 102
5.2 Output Feedback Case Ill
5.3 Plants with Imaginary Axis Zeros 121
ix
x Contents
6 Solutions to Continuous time Hoo Problem 131
6.1 Full State Feedback 132
6.2 Full Order Output Feedback 140
6.3 Reduced Order Output Feedback 146
6.4 Proofs of Main Results 153
7 Continuous time Hoo Almost Disturbance Decoupling 165
7.1 Introduction 165
7.2 Solvability Conditions 168
7.3 Solutions to Full State Feedback Case 172
7.4 Solutions to Output Feedback Case 179
7.4.1 Full Order Output Feedback 180
7.4.2 Reduced Order Output Feedback 182
7.5 Proofs of Main Results 186
8 Infima in Discrete time Hoo Optimization 203
8.1 Full Information Feedback Case 203
8.2 Output Feedback Case 215
8.3 Plants with Unit Circle Zeros 220
9 Solutions to Discrete time Hoo Problem 223
9.1 Full Information and State Feedbacks 224
9.2 Full Order Output Feedback 229
9.3 Reduced Order Output Feedback 234
10 Discrete time Hoo Almost Disturbance Decoupling 241
10.1 Introduction 241
10.2 Solvability Conditions 243
10.3 Solutions to State and Full Information Feedback Cases 246
10.4 Solutions to Measurement Feedback Case 254
10.4.1 Full Order Output Feedback 255
10.4.2 Reduced Order Output Feedback 258
10.5 Proofs of Main Results 262
11 A Piezoelectric Actuator System Design 283
11.1 Introduction 283
11.2 Linearization of the Nonlinear Hysteretic Dynamics 287
11.3 Formulation of the Problem as an/foo ADDPMS 289
11.4 Final Controller and Simulation Results 297
Contents xi
12 A Gyro stabilized Mirror Targeting System Design 309
12.1 Introduction 309
12.2 The Free Gyro stabilized Mirror System 310
12.3 Controller Design Using an .ffoo Approach 316
12.4 Simulation and Implementation Results 321
13 An Open Problem 333
Bibliography 337
Index 349 |
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| dewey-full | 629.8/312 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
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| dewey-search | 629.8/312 |
| dewey-sort | 3629.8 3312 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| discipline_str_mv | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
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| index_date | 2024-07-02T16:16:23Z |
| indexdate | 2024-07-09T20:50:59Z |
| institution | BVB |
| isbn | 1852330260 |
| language | English |
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| physical | XI, 351 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | Chen, Ben M. 1963- Verfasser (DE-588)121913821 aut H control and its applications Ben M. Chen London [u.a.] Springer 1998 XI, 351 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 235 Literaturverz. S. 337 - 347 Commande h (symbole infini) ram H [infinity symbol] control H-unendlich-Kontrolltheorie (DE-588)4488490-4 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 s DE-604 H-unendlich-Kontrolltheorie (DE-588)4488490-4 s Lecture notes in control and information sciences 235 (DE-604)BV005848579 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015339141&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chen, Ben M. 1963- H control and its applications Lecture notes in control and information sciences Commande h (symbole infini) ram H [infinity symbol] control H-unendlich-Kontrolltheorie (DE-588)4488490-4 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4488490-4 (DE-588)4032317-1 |
| title | H control and its applications |
| title_auth | H control and its applications |
| title_exact_search | H control and its applications |
| title_exact_search_txtP | H control and its applications |
| title_full | H control and its applications Ben M. Chen |
| title_fullStr | H control and its applications Ben M. Chen |
| title_full_unstemmed | H control and its applications Ben M. Chen |
| title_short | H control and its applications |
| title_sort | h control and its applications |
| topic | Commande h (symbole infini) ram H [infinity symbol] control H-unendlich-Kontrolltheorie (DE-588)4488490-4 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Commande h (symbole infini) H [infinity symbol] control H-unendlich-Kontrolltheorie Kontrolltheorie |
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