Topics in Control Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1993
|
| Schriftenreihe: | DMV Seminar
22 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | One of the key concerns in modern control theory is the design of steering strategies. The implementation of such strategies is done by a regulator. Presented here is a self-contained introduction to the mathematical background of this type of regulator design. The topics selected address the matter of greatest interest to the control community, at present, namely, when the design objective is the reduction of the influence of exogeneous disturbances upon the output of the system. In a first scenario the disturbance signal is regarded as a deterministic time series with known dynamics but unknown parameters. The design objective is then the asymptotic disturbance compensation. In a second scenario, no information about the disturbance signal is available apart from some bounds. Here, in an H-approach, control strategies are worked out which will prove efficient for all such disturbances. The intention of this book is to present ideas and methods on such a level that the beginning graduate student will be able to follow current research. New results are included, especially for nonlinear control systems, and as a service to the reader, an extensive appendix presents topics from linear algebra, invariant manifolds and calculus of variations, information which is hardly to be found in standard textbooks. Contents: Introduction - The problem of output regulation - Introduction -Problem statement - Output regulation via full information - Output regulation via full error feedback - A particular case - Well-posedness and robustness - The construction of a robust regulator - Disturbance attenuation via H-methods - Introduction - Problem statement - A characterization of the L2-gain of a linear system - Disturbance attenuation via full information - Disturbance attenuation via measured feedback - Full information regulators - Problem statement - Time-dependent control strategies - Examples - Time-independent control strategies - The local case - Nonlinear observers - Problem statement - Time-dependent observers - Error feedback regulators - Examples - Nonlinear H-techniques - Introduction - Construction of the saddle-point - The local scenario - Disturbance attenuation via linearization - Matrix equations - Linear matrix equations - Algebraic Riccati equations - Invariant manifolds - Existence theorem - Outflowing manifolds - Asymptotic phase - Convergence for T 1 - A special case - Dichotomies and Lyapunov functions - Hamilton-Jacobi-Bellman-Isaacs equation - Introduction - Method of characteristics -The equation of Isaacs - The Hamiltonian version of Isaacs' equation - Bibliography |
| Beschreibung: | 1 Online-Ressource (VI, 168 p) |
| ISBN: | 9783034885669 9783034896832 |
| DOI: | 10.1007/978-3-0348-8566-9 |
Internformat
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| 490 | 0 | |a DMV Seminar |v 22 | |
| 500 | |a One of the key concerns in modern control theory is the design of steering strategies. The implementation of such strategies is done by a regulator. Presented here is a self-contained introduction to the mathematical background of this type of regulator design. The topics selected address the matter of greatest interest to the control community, at present, namely, when the design objective is the reduction of the influence of exogeneous disturbances upon the output of the system. In a first scenario the disturbance signal is regarded as a deterministic time series with known dynamics but unknown parameters. The design objective is then the asymptotic disturbance compensation. In a second scenario, no information about the disturbance signal is available apart from some bounds. Here, in an H-approach, control strategies are worked out which will prove efficient for all such disturbances. | ||
| 500 | |a The intention of this book is to present ideas and methods on such a level that the beginning graduate student will be able to follow current research. New results are included, especially for nonlinear control systems, and as a service to the reader, an extensive appendix presents topics from linear algebra, invariant manifolds and calculus of variations, information which is hardly to be found in standard textbooks. | ||
| 500 | |a Contents: Introduction - The problem of output regulation - Introduction -Problem statement - Output regulation via full information - Output regulation via full error feedback - A particular case - Well-posedness and robustness - The construction of a robust regulator - Disturbance attenuation via H-methods - Introduction - Problem statement - A characterization of the L2-gain of a linear system - Disturbance attenuation via full information - Disturbance attenuation via measured feedback - Full information regulators - Problem statement - Time-dependent control strategies - Examples - Time-independent control strategies - The local case - Nonlinear observers - Problem statement - Time-dependent observers - Error feedback regulators - Examples - Nonlinear H-techniques - Introduction - Construction of the saddle-point - The local scenario - Disturbance attenuation via linearization - Matrix equations - Linear matrix | ||
| 500 | |a equations - Algebraic Riccati equations - Invariant manifolds - Existence theorem - Outflowing manifolds - Asymptotic phase - Convergence for T 1 - A special case - Dichotomies and Lyapunov functions - Hamilton-Jacobi-Bellman-Isaacs equation - Introduction - Method of characteristics -The equation of Isaacs - The Hamiltonian version of Isaacs' equation - Bibliography | ||
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Datensatz im Suchindex
| _version_ | 1804153096213889024 |
|---|---|
| any_adam_object | |
| author | Knobloch, Hans W. 1927-2019 |
| author_GND | (DE-588)117714224 (DE-588)1105067629 (DE-588)108920048X |
| author_facet | Knobloch, Hans W. 1927-2019 |
| author_role | aut |
| author_sort | Knobloch, Hans W. 1927-2019 |
| author_variant | h w k hw hwk |
| building | Verbundindex |
| bvnumber | BV042422168 |
| classification_tum | MAT 000 |
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| ctrlnum | (OCoLC)1184377224 (DE-599)BVBBV042422168 |
| dewey-full | 50 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 050 - General serial publications |
| dewey-raw | 50 |
| dewey-search | 50 |
| dewey-sort | 250 |
| dewey-tens | 050 - General serial publications |
| discipline | Allgemeine Naturwissenschaft Mathematik |
| doi_str_mv | 10.1007/978-3-0348-8566-9 |
| format | Electronic eBook |
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| id | DE-604.BV042422168 |
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| spelling | Knobloch, Hans W. 1927-2019 Verfasser (DE-588)117714224 aut Topics in Control Theory by Hans W. Knobloch, Dietrich Flockerzi, Alberto Isidori Basel Birkhäuser Basel 1993 1 Online-Ressource (VI, 168 p) txt rdacontent c rdamedia cr rdacarrier DMV Seminar 22 One of the key concerns in modern control theory is the design of steering strategies. The implementation of such strategies is done by a regulator. Presented here is a self-contained introduction to the mathematical background of this type of regulator design. The topics selected address the matter of greatest interest to the control community, at present, namely, when the design objective is the reduction of the influence of exogeneous disturbances upon the output of the system. In a first scenario the disturbance signal is regarded as a deterministic time series with known dynamics but unknown parameters. The design objective is then the asymptotic disturbance compensation. In a second scenario, no information about the disturbance signal is available apart from some bounds. Here, in an H-approach, control strategies are worked out which will prove efficient for all such disturbances. The intention of this book is to present ideas and methods on such a level that the beginning graduate student will be able to follow current research. New results are included, especially for nonlinear control systems, and as a service to the reader, an extensive appendix presents topics from linear algebra, invariant manifolds and calculus of variations, information which is hardly to be found in standard textbooks. Contents: Introduction - The problem of output regulation - Introduction -Problem statement - Output regulation via full information - Output regulation via full error feedback - A particular case - Well-posedness and robustness - The construction of a robust regulator - Disturbance attenuation via H-methods - Introduction - Problem statement - A characterization of the L2-gain of a linear system - Disturbance attenuation via full information - Disturbance attenuation via measured feedback - Full information regulators - Problem statement - Time-dependent control strategies - Examples - Time-independent control strategies - The local case - Nonlinear observers - Problem statement - Time-dependent observers - Error feedback regulators - Examples - Nonlinear H-techniques - Introduction - Construction of the saddle-point - The local scenario - Disturbance attenuation via linearization - Matrix equations - Linear matrix equations - Algebraic Riccati equations - Invariant manifolds - Existence theorem - Outflowing manifolds - Asymptotic phase - Convergence for T 1 - A special case - Dichotomies and Lyapunov functions - Hamilton-Jacobi-Bellman-Isaacs equation - Introduction - Method of characteristics -The equation of Isaacs - The Hamiltonian version of Isaacs' equation - Bibliography Science (General) Science, general Naturwissenschaft Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1991 Neresheim gnd-content Kontrolltheorie (DE-588)4032317-1 s 2\p DE-604 Flockerzi, Dietrich 1951- Sonstige (DE-588)1105067629 oth Isidori, Alberto 20. Jht. Sonstige (DE-588)108920048X oth https://doi.org/10.1007/978-3-0348-8566-9 Verlag Volltext 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 | Knobloch, Hans W. 1927-2019 Topics in Control Theory Science (General) Science, general Naturwissenschaft Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4032317-1 (DE-588)1071861417 |
| title | Topics in Control Theory |
| title_auth | Topics in Control Theory |
| title_exact_search | Topics in Control Theory |
| title_full | Topics in Control Theory by Hans W. Knobloch, Dietrich Flockerzi, Alberto Isidori |
| title_fullStr | Topics in Control Theory by Hans W. Knobloch, Dietrich Flockerzi, Alberto Isidori |
| title_full_unstemmed | Topics in Control Theory by Hans W. Knobloch, Dietrich Flockerzi, Alberto Isidori |
| title_short | Topics in Control Theory |
| title_sort | topics in control theory |
| topic | Science (General) Science, general Naturwissenschaft Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Science (General) Science, general Naturwissenschaft Kontrolltheorie Konferenzschrift 1991 Neresheim |
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