Singularly perturbed and weakly coupled linear control systems: a recursive approach
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hon
Springer
1990
|
| Series: | Lecture notes in control and information sciences
140 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 202 S. |
| ISBN: | 3540523332 0387523332 |
Staff View
MARC
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| 245 | 1 | 0 | |a Singularly perturbed and weakly coupled linear control systems |b a recursive approach |c Z. Gajić ; D. Petkovski ; X. Shen |
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hon |b Springer |c 1990 | |
| 300 | |a VII, 202 S. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Lecture notes in control and information sciences |v 140 | |
| 650 | 7 | |a Commande, théorie de la |2 ram | |
| 650 | 7 | |a Programmation récursive |2 ram | |
| 650 | 4 | |a Control theory | |
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| 650 | 4 | |a Recursive programming | |
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Record in the Search Index
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| adam_text |
TABLE OF CONTENTS
CHAPTER 1.
INTRODUCTION 1
CHAPTER 2.
ALGEBRAIC LYAPUNOV AND RICCATI EQUATIONS 7
21. Introduction 7
22. The recursive methods for singularly perturbed linear
systems 8
2.2.1. The recursive reduced order method for the
algebraic Lyapunov equation 10
2.2.2. The recursive reduced order method for the
algebraic Riccati equation 13
2.3. The recursive methods for weakly coupled linear
systems 18
2.3J. The recursive reduced order parallel algorithm for
solving the algebraic Lyapunov equation of
weakly coupled systems 19
2.3.2. The recursive reduced order parallel algorithm for
solving the algebraic Riccati equation of weakly
coupled systems 21
2.4. Decoupling transformation for weakly coupled linear
systems 25
2.5. Conclusion
34
CHAPTER 3.
OUTPUT FEEDBACK CONTROL OF LINEAR SINGULARLY
PERTURBED AND WEAKLY COUPLED SYSTEMS 35
3J. Introduction 35
32. Output feedback for sin'gularly perturbed linear systems 37
3.3. Case studyi Fluid catalytic cracker 45
3.4. Output feedback for linear weakly coupled systems 47
3.5. Case study: Twelve plate absorption column 56
CHAPTER 4.
LINEAR STOCHASTIC SYSTEMS 63
4.1. Recursive approach to singularly perturbed linear
stochastic systems 63
4.2. Case study: F 8 aircraft LOG controller 73
4.3. Recursive approach to weakly coupled linear stochastic
systems 78
4.4. Case study: Electric power system example 89
Appendix 4.1 92
CHAPTER S.
RECURSIVE APPROACH TO FINITE TIME SINGULARLY
PERTURBED AMD WEAKLY COUPLED CONTROL SYSTEMS 96
8.1. Reduced order recursive solution of the singularly
perturbed differential Riccati equation. 98
5.2. Case study: The synchronous machine connected to an
infinite bus 109
5.3. Reduced order recursive solution of the Riccati
differential equation of weakly coupled systems 111
5.4. Case study: The distillation column example 118
Appendix 5.1 121
CHAPTER 6.
APPLICATIONS TO THE DIFFERENTIAL GAMES 125
6.1. Weakly coupled linear quadratic Nash games 125
6.2. Solution of coupled algebraic Riccati equations 130
6.2.1. Zeroth order approximation 131
6.2.2 Solution of higher order accuracy 132
6.3. Numerical example 140
Appendix 6.1 143
CHAPTER 7.
LINEAR DISCRETE WEAKLY COUPLED CONTROL
SYSTEMS 144
T.L Optimal reduced order recursive solution of the weakly
coupled discrete Riccati equation 144
7.1.1 Computational algorithm 145
7.1.2. Case study: Discrete model of the distillation
column 147
T.2. Recursive reduced order solution of the stochastic linear
weakly coupled discrete systems 150
7.2.1. Linear quadratic Gaussian control of discrete
weakly coupled systems at steady state 151
7.2.2. Numerical example 160
Appendix T.1 161
CHAPTER 8.
LINEAR DISCRETE SINGULARLY PERTURBED CONTROL
SYSTEMS 163
8.1 Recursive solution of the discrete linear quadratic
control problem of singularly perturbed systems 163
8.1.1. Introduction 163
8.1.2. Reduced order near optimal solution of the discrete
algebraic Riccati equation of singularly perturbed
systems 164
8.2. Near optimal control of linear singularly perturbed
discrete systems 171
8.2.1. Case study: Discrete model of F 8 aircraft 172
8.3. Parallel reduced order controllers for stochastic linear
singularly perturbed systems 175
8.3.1. Introduction 175
8.3.2. Linear quadratic Gaussian control of discrete
singularly perturbed systems at steady state 176
8.3.3. Case study: Discrete steam power system 183
8.4. Conclusions 185
Appendix 8.1 186
Appendix 8.2 187
REFERENCES 189 |
| any_adam_object | 1 |
| author | Gajić, Zoran Petkovski, Djordjija Shen, Xuemin 1958- |
| author_GND | (DE-588)142337242 |
| author_facet | Gajić, Zoran Petkovski, Djordjija Shen, Xuemin 1958- |
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| author_sort | Gajić, Zoran |
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| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
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| id | DE-604.BV002515778 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T07:36:12Z |
| institution | BVB |
| isbn | 3540523332 0387523332 |
| language | English |
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| physical | VII, 202 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | Gajić, Zoran Verfasser aut Singularly perturbed and weakly coupled linear control systems a recursive approach Z. Gajić ; D. Petkovski ; X. Shen Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hon Springer 1990 VII, 202 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 140 Commande, théorie de la ram Programmation récursive ram Control theory Linear control systems Recursive programming Datenverarbeitungssystem (DE-588)4125229-9 gnd rswk-swf Lineare Kontrolltheorie (DE-588)4123657-9 gnd rswk-swf Schwach gekoppeltes System (DE-588)4238352-3 gnd rswk-swf Regelungssystem (DE-588)4134712-2 gnd rswk-swf Singuläre Störung (DE-588)4055100-3 gnd rswk-swf Lineares Regelungssystem (DE-588)4167730-4 gnd rswk-swf Singuläre Störung (DE-588)4055100-3 s Regelungssystem (DE-588)4134712-2 s DE-604 Schwach gekoppeltes System (DE-588)4238352-3 s Lineares Regelungssystem (DE-588)4167730-4 s Lineare Kontrolltheorie (DE-588)4123657-9 s Datenverarbeitungssystem (DE-588)4125229-9 s Petkovski, Djordjija Verfasser aut Shen, Xuemin 1958- Verfasser (DE-588)142337242 aut Lecture notes in control and information sciences 140 (DE-604)BV005848579 140 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001618441&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gajić, Zoran Petkovski, Djordjija Shen, Xuemin 1958- Singularly perturbed and weakly coupled linear control systems a recursive approach Lecture notes in control and information sciences Commande, théorie de la ram Programmation récursive ram Control theory Linear control systems Recursive programming Datenverarbeitungssystem (DE-588)4125229-9 gnd Lineare Kontrolltheorie (DE-588)4123657-9 gnd Schwach gekoppeltes System (DE-588)4238352-3 gnd Regelungssystem (DE-588)4134712-2 gnd Singuläre Störung (DE-588)4055100-3 gnd Lineares Regelungssystem (DE-588)4167730-4 gnd |
| subject_GND | (DE-588)4125229-9 (DE-588)4123657-9 (DE-588)4238352-3 (DE-588)4134712-2 (DE-588)4055100-3 (DE-588)4167730-4 |
| title | Singularly perturbed and weakly coupled linear control systems a recursive approach |
| title_auth | Singularly perturbed and weakly coupled linear control systems a recursive approach |
| title_exact_search | Singularly perturbed and weakly coupled linear control systems a recursive approach |
| title_full | Singularly perturbed and weakly coupled linear control systems a recursive approach Z. Gajić ; D. Petkovski ; X. Shen |
| title_fullStr | Singularly perturbed and weakly coupled linear control systems a recursive approach Z. Gajić ; D. Petkovski ; X. Shen |
| title_full_unstemmed | Singularly perturbed and weakly coupled linear control systems a recursive approach Z. Gajić ; D. Petkovski ; X. Shen |
| title_short | Singularly perturbed and weakly coupled linear control systems |
| title_sort | singularly perturbed and weakly coupled linear control systems a recursive approach |
| title_sub | a recursive approach |
| topic | Commande, théorie de la ram Programmation récursive ram Control theory Linear control systems Recursive programming Datenverarbeitungssystem (DE-588)4125229-9 gnd Lineare Kontrolltheorie (DE-588)4123657-9 gnd Schwach gekoppeltes System (DE-588)4238352-3 gnd Regelungssystem (DE-588)4134712-2 gnd Singuläre Störung (DE-588)4055100-3 gnd Lineares Regelungssystem (DE-588)4167730-4 gnd |
| topic_facet | Commande, théorie de la Programmation récursive Control theory Linear control systems Recursive programming Datenverarbeitungssystem Lineare Kontrolltheorie Schwach gekoppeltes System Regelungssystem Singuläre Störung Lineares Regelungssystem |
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| volume_link | (DE-604)BV005848579 |
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