Robust Nonlinear Control Design: State-Space and Lyapunov Techniques
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1996
|
| Schriftenreihe: | Modern Birkhäuser Classics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book presents advances in the theory and design of robust nonlinear control systems. In the first part of the book, the authors provide a unified framework for state-space and Lyapunov techniques by combining concepts from set-valued analysis, Lyapunov stability theory, and game theory. Within this unified framework, the authors then develop a variety of control design methods suitable for systems described by low-order nonlinear ordinary differential equations. Emphasis is placed on global controller designs, that is, designs for the entire region of model validity. Because linear theory deals well with local system behavior (except for critical cases in which Jacobian linearization fails), the authors focus on achieving robustness and performance for large deviations from a given operation condition. The purpose of the book is to summarize Lyapunov design techniques for nonlinear systems and to raise important issues concerning large-signal robustness and performance. The authors have been the first to address some of these issues, and they report their findings in this text. For example, they identify two potential sources of excessive control effort in Lyapunov design techniques and show how such effort can be greatly reduced. The researcher who wishes to enter the field of robust nonlinear control could use this book as a source of new research topics. For those already active in the field, the book may serve as a reference to a recent body of significant work. Finally, the design engineer faced with a nonlinear control problem will benefit from the techniques presented here. "The text is practically self-contained. The authors offer all necessary definitions and give a comprehensive introduction. Only the most basic knowledge of nonlinear analysis and design tools is required, including Lyapunov stability theory and optimal control. The authors also provide a review of set-valued maps for those readers who are not familiar with set-valued analysis. The book is intended for graduate students and researchers in control theory, serving as both a summary of recent results and a source of new research problems. In the opinion of this reviewer the authors do succeed in attaining these objectives." — Mathematical Reviews |
| Beschreibung: | 1 Online-Ressource (XVI, 257 p) |
| ISBN: | 9780817647599 9780817647582 |
| DOI: | 10.1007/978-0-8176-4759-9 |
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| 500 | |a This book presents advances in the theory and design of robust nonlinear control systems. In the first part of the book, the authors provide a unified framework for state-space and Lyapunov techniques by combining concepts from set-valued analysis, Lyapunov stability theory, and game theory. Within this unified framework, the authors then develop a variety of control design methods suitable for systems described by low-order nonlinear ordinary differential equations. Emphasis is placed on global controller designs, that is, designs for the entire region of model validity. Because linear theory deals well with local system behavior (except for critical cases in which Jacobian linearization fails), the authors focus on achieving robustness and performance for large deviations from a given operation condition. The purpose of the book is to summarize Lyapunov design techniques for nonlinear systems and to raise important issues concerning large-signal robustness and performance. | ||
| 500 | |a The authors have been the first to address some of these issues, and they report their findings in this text. For example, they identify two potential sources of excessive control effort in Lyapunov design techniques and show how such effort can be greatly reduced. The researcher who wishes to enter the field of robust nonlinear control could use this book as a source of new research topics. For those already active in the field, the book may serve as a reference to a recent body of significant work. Finally, the design engineer faced with a nonlinear control problem will benefit from the techniques presented here. "The text is practically self-contained. The authors offer all necessary definitions and give a comprehensive introduction. Only the most basic knowledge of nonlinear analysis and design tools is required, including Lyapunov stability theory and optimal control. | ||
| 500 | |a The authors also provide a review of set-valued maps for those readers who are not familiar with set-valued analysis. The book is intended for graduate students and researchers in control theory, serving as both a summary of recent results and a source of new research problems. In the opinion of this reviewer the authors do succeed in attaining these objectives." — Mathematical Reviews | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Differential Equations | |
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| 650 | 4 | |a Dynamical Systems and Ergodic Theory | |
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Datensatz im Suchindex
| _version_ | 1804153089443233792 |
|---|---|
| any_adam_object | |
| author | Freeman, Randy A. |
| author_facet | Freeman, Randy A. |
| author_role | aut |
| author_sort | Freeman, Randy A. |
| author_variant | r a f ra raf |
| building | Verbundindex |
| bvnumber | BV042419156 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)725054737 (DE-599)BVBBV042419156 |
| dewey-full | 519 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519 |
| dewey-search | 519 |
| dewey-sort | 3519 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-0-8176-4759-9 |
| format | Electronic eBook |
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| id | DE-604.BV042419156 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9780817647599 9780817647582 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854573 |
| oclc_num | 725054737 |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XVI, 257 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Birkhäuser Boston |
| record_format | marc |
| series2 | Modern Birkhäuser Classics |
| spelling | Freeman, Randy A. Verfasser aut Robust Nonlinear Control Design State-Space and Lyapunov Techniques by Randy A. Freeman, Petar Kokotović Boston, MA Birkhäuser Boston 1996 1 Online-Ressource (XVI, 257 p) txt rdacontent c rdamedia cr rdacarrier Modern Birkhäuser Classics This book presents advances in the theory and design of robust nonlinear control systems. In the first part of the book, the authors provide a unified framework for state-space and Lyapunov techniques by combining concepts from set-valued analysis, Lyapunov stability theory, and game theory. Within this unified framework, the authors then develop a variety of control design methods suitable for systems described by low-order nonlinear ordinary differential equations. Emphasis is placed on global controller designs, that is, designs for the entire region of model validity. Because linear theory deals well with local system behavior (except for critical cases in which Jacobian linearization fails), the authors focus on achieving robustness and performance for large deviations from a given operation condition. The purpose of the book is to summarize Lyapunov design techniques for nonlinear systems and to raise important issues concerning large-signal robustness and performance. The authors have been the first to address some of these issues, and they report their findings in this text. For example, they identify two potential sources of excessive control effort in Lyapunov design techniques and show how such effort can be greatly reduced. The researcher who wishes to enter the field of robust nonlinear control could use this book as a source of new research topics. For those already active in the field, the book may serve as a reference to a recent body of significant work. Finally, the design engineer faced with a nonlinear control problem will benefit from the techniques presented here. "The text is practically self-contained. The authors offer all necessary definitions and give a comprehensive introduction. Only the most basic knowledge of nonlinear analysis and design tools is required, including Lyapunov stability theory and optimal control. The authors also provide a review of set-valued maps for those readers who are not familiar with set-valued analysis. The book is intended for graduate students and researchers in control theory, serving as both a summary of recent results and a source of new research problems. In the opinion of this reviewer the authors do succeed in attaining these objectives." — Mathematical Reviews Mathematics Differentiable dynamical systems Differential Equations Systems theory Systems Theory, Control Dynamical Systems and Ergodic Theory Ordinary Differential Equations Mathematik Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd rswk-swf Robuste Regelung (DE-588)4206985-3 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Zustandsraum (DE-588)4132647-7 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 s Robuste Regelung (DE-588)4206985-3 s Ljapunov-Stabilitätstheorie (DE-588)4167992-1 s Zustandsraum (DE-588)4132647-7 s 1\p DE-604 Kokotović, Petar Sonstige oth https://doi.org/10.1007/978-0-8176-4759-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Freeman, Randy A. Robust Nonlinear Control Design State-Space and Lyapunov Techniques Mathematics Differentiable dynamical systems Differential Equations Systems theory Systems Theory, Control Dynamical Systems and Ergodic Theory Ordinary Differential Equations Mathematik Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd Robuste Regelung (DE-588)4206985-3 gnd Nichtlineares System (DE-588)4042110-7 gnd Zustandsraum (DE-588)4132647-7 gnd |
| subject_GND | (DE-588)4167992-1 (DE-588)4206985-3 (DE-588)4042110-7 (DE-588)4132647-7 |
| title | Robust Nonlinear Control Design State-Space and Lyapunov Techniques |
| title_auth | Robust Nonlinear Control Design State-Space and Lyapunov Techniques |
| title_exact_search | Robust Nonlinear Control Design State-Space and Lyapunov Techniques |
| title_full | Robust Nonlinear Control Design State-Space and Lyapunov Techniques by Randy A. Freeman, Petar Kokotović |
| title_fullStr | Robust Nonlinear Control Design State-Space and Lyapunov Techniques by Randy A. Freeman, Petar Kokotović |
| title_full_unstemmed | Robust Nonlinear Control Design State-Space and Lyapunov Techniques by Randy A. Freeman, Petar Kokotović |
| title_short | Robust Nonlinear Control Design |
| title_sort | robust nonlinear control design state space and lyapunov techniques |
| title_sub | State-Space and Lyapunov Techniques |
| topic | Mathematics Differentiable dynamical systems Differential Equations Systems theory Systems Theory, Control Dynamical Systems and Ergodic Theory Ordinary Differential Equations Mathematik Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd Robuste Regelung (DE-588)4206985-3 gnd Nichtlineares System (DE-588)4042110-7 gnd Zustandsraum (DE-588)4132647-7 gnd |
| topic_facet | Mathematics Differentiable dynamical systems Differential Equations Systems theory Systems Theory, Control Dynamical Systems and Ergodic Theory Ordinary Differential Equations Mathematik Ljapunov-Stabilitätstheorie Robuste Regelung Nichtlineares System Zustandsraum |
| url | https://doi.org/10.1007/978-0-8176-4759-9 |
| work_keys_str_mv | AT freemanrandya robustnonlinearcontroldesignstatespaceandlyapunovtechniques AT kokotovicpetar robustnonlinearcontroldesignstatespaceandlyapunovtechniques |