L 2 gain and passivity techniques in nonlinear control:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London [u.a.]
Springer
2000
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Communications and control engineering
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 229 - 246 |
| Beschreibung: | XII, 249 S. graph. Darst. |
| ISBN: | 1852330732 |
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Datensatz im Suchindex
| _version_ | 1804127371522998272 |
|---|---|
| adam_text | ARJAN VAN DER SCHAFT L 2 - GAIN AND PASSIVITY TECHNIQUES IN NONLINEAR
CONTROL WITH 27 FIGURES MS SPRINGER CONTENTS 1 INPUT-OUTPUT STABILITY 1
1.1 L G -SPACES AND THEIR EXTENSIONS; INPUT-OUTPUT MAPS 1 1.2
LQ-STABILITY AND L 9 -GAIN; CLOSED-LOOP STABILITY 4 1.3 NOTES FOR
CHAPTER 1 9 2 SMALL-GAIN AND PASSIVITY OF INPUT-OUTPUT MAPS 11 2.1 THE
SMALL-GAIN THEOREM 11 2.2 PASSIVITY AND THE PASSIVITY THEOREM 14 2.3
RELATION BETWEEN PASSIVITY AND Z,2-GAIN 23 2.4 NOTES FOR CHAPTER 2 27 3
DISSIPATIVE SYSTEMS THEORY 31 3.1 DISSIPATIVE SYSTEMS 31 3.2 STABILITY
OF DISSIPATIVE SYSTEMS 37 3.3 STABILIZATION OF PASSIVE SYSTEMS 44 3.4
THE SMALL-GAIN AND PASSIVITY THEOREMS REVISITED 45 3.4.1 INTERCONNECTION
OF PASSIVE SYSTEMS 46 3.4.2 THE SMALL-GAIN THEOREM 50 3.5 DISSIPATIVITY
AND OPTIMAL CONTROL 56 3.6 NOTES FOR CHAPTER 3 58 4 HARR.ILTONIAN
SYSTEMS AS PASSIVE SYSTEMS 63 4.1 EULER-LAGRANGE EQUATIONS AND PASSIVITY
63 4.1.1 TRACKING CONTROL OF A ROBOT MANIPULATOR 68 4.1.2 PASSIVITY AND
RIEMANNIAN GEOMETRY 69 4.2 HAMILTONIAN CONTROL SYSTEMS 72 4.2.1
PORT-CONTROLLED HAMILTONIAN SYSTEMS 72 4.2.2 PROPERTIES OF
PORT-CONTROLLED HAMILTONIAN SYSTEMS . . 80 4.2.3 PORT-CONTROLLED
HAMILTONIAN SYSTEMS WITH DISSIPATION . 85 4.2.4 STABILIZATION BY DAMPING
INJECTION 90 XII CONTENTS 4.3 CONTROL OF PORT-CONTROLLED HAMILTONIAN
SYSTEMS WITH DISSIPATION 92 4.3.1 CONTROL BY INTERCONNECTION 92 4.3.2
PASSIVITY-BASED CONTROL OF PORT-CONTROLLED HAMILTONIAN SYSTEMS WITH
DISSIPATION 102 4.4 IMPLICIT PORT-CONTROLLED HAMILTONIAN SYSTEMS 109
4.4.1 POWER-CONSERVING INTERCONNECTIONS 109 4.4.2 IMPLICIT
PORT-CONTROLLED HAMILTONIAN SYSTEMS 112 4.4.3 SCATTERING REPRESENTATIONS
OF POWER-CONSERVING INTER- CONNECTIONS 117 4.5 NOTES FOR CHAPTER 4 121 5
PASSIVITY BY FEEDBACK 125 5.1 FEEDBACK EQUIVALENCE TO A PASSIVE SYSTEM
125 5.2 STABILIZATION OF CASCADED SYSTEMS 130 5.3 NOTES FOR CHAPTER 5
136 6 FACTORIZATIONS OF NONLINEAR SYSTEMS 137 6.1 STABLE KERNEL AND
IMAGE REPRESENTATIONS; L2-GAIN PERTURBATION MODEIS 137 6.1.1 STABLE
KERNEL AND IMAGE REPRESENTATIONS 137 6.1.2 L2-GAIN PERTURBATION MODEIS
144 6.2 STABLE KERNEL REPRESENTATIONS AND PARAMETRIZATION OF STABILIZ-
ING CONTROLLERS 146 6.3 ALL-PASS FACTORIZATIONS 154 6.4 NOTES FOR
CHAPTER 6 159 7 NONLINEAR H^ CONTRO L 163 7.1 STATE FEEDBACK H^ CONTROL
164 7.2 OUTPUT FEEDBACK HX CONTROL 175 7.3 NOTES FOR CHAPTER 7 189 8
HAMILTON-JACOBI INEQUALITIES 193 8.1 SOLVABILITY OF HAMILTON-JACOBI
INEQUALITIES 193 8.2 AN ASIDE ON OPTIMAL CONTROL 205 8.3 DISSIPATIVITY
OF A NONLINEAR SYSTEM AND ITS LINEARIZATION .... 211 8.4 !H X CONTROL
OF A NONLINEAR SYSTEM AND ITS LINEARIZATION 216 8.5 NOTES FOR CHAPTER 8
226 BIBLIOGRAPHY 229 INDEX 247
|
| any_adam_object | 1 |
| author | Schaft, Arjan van der |
| author_facet | Schaft, Arjan van der |
| author_role | aut |
| author_sort | Schaft, Arjan van der |
| author_variant | a v d s avd avds |
| building | Verbundindex |
| bvnumber | BV012708308 |
| classification_rvk | SI 845 SK 880 |
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| dewey-full | 629.836 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.836 |
| dewey-search | 629.836 |
| dewey-sort | 3629.836 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| edition | 2. ed. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:32:17Z |
| institution | BVB |
| isbn | 1852330732 |
| language | English |
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| physical | XII, 249 S. graph. Darst. |
| publishDate | 2000 |
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| publisher | Springer |
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| series2 | Communications and control engineering |
| spelling | Schaft, Arjan van der Verfasser aut L 2 gain and passivity techniques in nonlinear control Arjan van der Schaft 2. ed. London [u.a.] Springer 2000 XII, 249 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Communications and control engineering Literaturverz. S. 229 - 246 Commande non linéaire ram Systèmes non linéaires ram Systèmes à réaction ram Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf H-unendlich-Kontrolltheorie (DE-588)4488490-4 gnd rswk-swf Nichtlineare Regelung (DE-588)4132964-8 gnd rswk-swf Dissipatives System (DE-588)4209641-8 gnd rswk-swf Hamilton-Jacobi-Differentialgleichung (DE-588)4158954-3 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Hardy-Raum (DE-588)4159109-4 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 s Dissipatives System (DE-588)4209641-8 s H-unendlich-Kontrolltheorie (DE-588)4488490-4 s DE-604 Kontrolltheorie (DE-588)4032317-1 s Hardy-Raum (DE-588)4159109-4 s 1\p DE-604 Nichtlineare Regelung (DE-588)4132964-8 s 2\p DE-604 Hamilton-Jacobi-Differentialgleichung (DE-588)4158954-3 s 3\p DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008638629&sequence=000001&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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schaft, Arjan van der L 2 gain and passivity techniques in nonlinear control Commande non linéaire ram Systèmes non linéaires ram Systèmes à réaction ram Hamiltonsches System (DE-588)4139943-2 gnd H-unendlich-Kontrolltheorie (DE-588)4488490-4 gnd Nichtlineare Regelung (DE-588)4132964-8 gnd Dissipatives System (DE-588)4209641-8 gnd Hamilton-Jacobi-Differentialgleichung (DE-588)4158954-3 gnd Kontrolltheorie (DE-588)4032317-1 gnd Hardy-Raum (DE-588)4159109-4 gnd |
| subject_GND | (DE-588)4139943-2 (DE-588)4488490-4 (DE-588)4132964-8 (DE-588)4209641-8 (DE-588)4158954-3 (DE-588)4032317-1 (DE-588)4159109-4 |
| title | L 2 gain and passivity techniques in nonlinear control |
| title_auth | L 2 gain and passivity techniques in nonlinear control |
| title_exact_search | L 2 gain and passivity techniques in nonlinear control |
| title_full | L 2 gain and passivity techniques in nonlinear control Arjan van der Schaft |
| title_fullStr | L 2 gain and passivity techniques in nonlinear control Arjan van der Schaft |
| title_full_unstemmed | L 2 gain and passivity techniques in nonlinear control Arjan van der Schaft |
| title_short | L 2 gain and passivity techniques in nonlinear control |
| title_sort | l 2 gain and passivity techniques in nonlinear control |
| topic | Commande non linéaire ram Systèmes non linéaires ram Systèmes à réaction ram Hamiltonsches System (DE-588)4139943-2 gnd H-unendlich-Kontrolltheorie (DE-588)4488490-4 gnd Nichtlineare Regelung (DE-588)4132964-8 gnd Dissipatives System (DE-588)4209641-8 gnd Hamilton-Jacobi-Differentialgleichung (DE-588)4158954-3 gnd Kontrolltheorie (DE-588)4032317-1 gnd Hardy-Raum (DE-588)4159109-4 gnd |
| topic_facet | Commande non linéaire Systèmes non linéaires Systèmes à réaction Hamiltonsches System H-unendlich-Kontrolltheorie Nichtlineare Regelung Dissipatives System Hamilton-Jacobi-Differentialgleichung Kontrolltheorie Hardy-Raum |
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