Singular perturbation analysis of discrete control systems
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| Hauptverfasser: | , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1985
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| Schriftenreihe: | Lecture notes in mathematics
1154 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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MARC
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| 100 | 1 | |a Naidu, Desineni S. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Singular perturbation analysis of discrete control systems |c D. S. Naidu ; A. K. Rao |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1985 | |
| 300 | |a X, 195 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1154 | |
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| 650 | 4 | |a Perturbations singulières (Mathématiques) | |
| 650 | 7 | |a Perturbations singulières (mathématiques) |2 ram | |
| 650 | 4 | |a Systèmes, Analyse de | |
| 650 | 7 | |a Systèmes, Analyse de |2 ram | |
| 650 | 7 | |a commande optimale |2 inriac | |
| 650 | 7 | |a perturbation singulière |2 inriac | |
| 650 | 7 | |a système contrôle discret |2 inriac | |
| 650 | 7 | |a équation différentielle |2 inriac | |
| 650 | 4 | |a Control theory | |
| 650 | 4 | |a Singular perturbations (Mathematics) | |
| 650 | 4 | |a System analysis | |
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| 700 | 1 | |a Rao, Ayalasomayajula K. |e Verfasser |4 aut | |
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Datensatz im Suchindex
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| adam_text |
CONTENTS
CHAPTER 1. SINGULAR PERTURBATION ANALYSIS OF
DIFFERENCE EQUATIONS IN CLASSICAL FORM 1
1.1 Small Parameter at the Right End:
R Type 1
1.2 Small Parameter at the Left End:
L Type 12
1.3 Higher Order Difference Equations 18
1.4 Two Time Scale Property 37
1.5 Conclusions 49
CHAPTER 2. MODELLING AND ANALYSIS OF SINGULARLY PERTURBED
DIFFERENCE EQUATIONS IN STATE SPACE FORM 41
2.1 State Space Formulation 41
2.2 Test for Two Time Scale Property 49
2.3 Discrete Models of Singularly Perturbed
Continuous Systems 50
2.4 Sampled Data Control Systems 63
2.5 Singular Perturbation Analysis of State
Space Models 64
2.6 Analysis of R Model 91
2.7 Analysis of D Model 103
2.8 Two Time Scale Property 113
2.9 Asymptotic Correctness of Series
Expans ions 118
2.10 Conclusions 118
CHAPTER 3 THREE TIME SCALE DIFFERENCE EQUATIONS WITH
APPLICATION TO OPEN LOOP OPTIMAL CONTROL
PROBLEM 120
3.1 Three Time Scale Difference Equations 120
3.2 Open Loop Optimal Control Problem 126
3.3 Development of Singular Perturbation
Method 133
3.4 Conclusions 142
CHAPTER 4 SINGULARLY PERTURBED NONLINEAR DIFFERENCE
EQUATIONS AND CLOSED LOOP DISCRETE OPTIMAL
CONTROL PROBLEM 148
4.1 Nonlinear Difference Equations 148
4.2 Closed Loop Optimal Control Problem 153
4.3 Boundary Layer Correction 156
X
4.4 Development of the Method 159
4.5 Steady State Solution 176
4.6 Conclusions 179
REFERENCES 189
SUBJECT INDEX 194 |
| any_adam_object | 1 |
| author | Naidu, Desineni S. Rao, Ayalasomayajula K. |
| author_facet | Naidu, Desineni S. Rao, Ayalasomayajula K. |
| author_role | aut aut |
| author_sort | Naidu, Desineni S. |
| author_variant | d s n ds dsn a k r ak akr |
| building | Verbundindex |
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| callnumber-first | Q - Science |
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| callnumber-raw | QA3 |
| callnumber-search | QA3 |
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| classification_rvk | SI 850 |
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| dewey-full | 003 510 |
| dewey-hundreds | 000 - Computer science, information, general works 500 - Natural sciences and mathematics |
| dewey-ones | 003 - Systems 510 - Mathematics |
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| dewey-search | 003 510 |
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| dewey-tens | 000 - Computer science, information, general works 510 - Mathematics |
| discipline | Informatik Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik |
| format | Book |
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| id | DE-604.BV000421310 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-25T17:07:22Z |
| institution | BVB |
| isbn | 3540159819 0387159819 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000260397 |
| oclc_num | 230824621 |
| open_access_boolean | |
| owner | DE-12 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-12 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-11 DE-188 |
| physical | X, 195 S. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spellingShingle | Naidu, Desineni S. Rao, Ayalasomayajula K. Singular perturbation analysis of discrete control systems Lecture notes in mathematics Commande, Théorie de la Commande, Théorie de la ram Perturbations singulières (Mathématiques) Perturbations singulières (mathématiques) ram Systèmes, Analyse de Systèmes, Analyse de ram commande optimale inriac perturbation singulière inriac système contrôle discret inriac équation différentielle inriac Control theory Singular perturbations (Mathematics) System analysis Zeitdiskretes System (DE-588)4127297-3 gnd Regelungssystem (DE-588)4134712-2 gnd Singuläre Störung (DE-588)4055100-3 gnd Kontrollsystem (DE-588)4126040-5 gnd |
| subject_GND | (DE-588)4127297-3 (DE-588)4134712-2 (DE-588)4055100-3 (DE-588)4126040-5 |
| title | Singular perturbation analysis of discrete control systems |
| title_auth | Singular perturbation analysis of discrete control systems |
| title_exact_search | Singular perturbation analysis of discrete control systems |
| title_full | Singular perturbation analysis of discrete control systems D. S. Naidu ; A. K. Rao |
| title_fullStr | Singular perturbation analysis of discrete control systems D. S. Naidu ; A. K. Rao |
| title_full_unstemmed | Singular perturbation analysis of discrete control systems D. S. Naidu ; A. K. Rao |
| title_short | Singular perturbation analysis of discrete control systems |
| title_sort | singular perturbation analysis of discrete control systems |
| topic | Commande, Théorie de la Commande, Théorie de la ram Perturbations singulières (Mathématiques) Perturbations singulières (mathématiques) ram Systèmes, Analyse de Systèmes, Analyse de ram commande optimale inriac perturbation singulière inriac système contrôle discret inriac équation différentielle inriac Control theory Singular perturbations (Mathematics) System analysis Zeitdiskretes System (DE-588)4127297-3 gnd Regelungssystem (DE-588)4134712-2 gnd Singuläre Störung (DE-588)4055100-3 gnd Kontrollsystem (DE-588)4126040-5 gnd |
| topic_facet | Commande, Théorie de la Perturbations singulières (Mathématiques) Perturbations singulières (mathématiques) Systèmes, Analyse de commande optimale perturbation singulière système contrôle discret équation différentielle Control theory Singular perturbations (Mathematics) System analysis Zeitdiskretes System Regelungssystem Singuläre Störung Kontrollsystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000260397&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT naidudesinenis singularperturbationanalysisofdiscretecontrolsystems AT raoayalasomayajulak singularperturbationanalysisofdiscretecontrolsystems |