Linear Multivariable Control: A Geometric Approach
In writing this monograph my objective is to present arecent, 'geometrie' approach to the structural synthesis of multivariable control systems that are linear, time-invariant, and of finite dynamic order. The book is addressed to graduate students specializing in control, to engineering s...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1974
|
| Ausgabe: | 1st ed. 1974 |
| Schriftenreihe: | Lecture Notes in Economics and Mathematical Systems
101 |
| Schlagworte: | |
| Online-Zugang: | BTU01 Volltext |
| Zusammenfassung: | In writing this monograph my objective is to present arecent, 'geometrie' approach to the structural synthesis of multivariable control systems that are linear, time-invariant, and of finite dynamic order. The book is addressed to graduate students specializing in control, to engineering scientists engaged in control systems research and development, and to mathematicians with some previous acquaintance with control problems. The label 'geometrie' is applied for several reasons. First and obviously, the setting is linear state space and the mathematics chiefly linear algebra in abstract (geometrie) style. The basic ideas are the familiar system concepts of controllability and observability, thought of as geometrie properties of distinguished state subspaces. Indeed, the geometry was first brought in out of revulsion against the orgy of matrix manipulation which linear control theory mainly consisted of, not so long ago. But secondlyand of greater interest, the geometrie setting rather quickly suggested new methods of attacking synthesis which have proved to be intuitive and economical; they are also easily reduced to matrix arith metic as soonas you want to compute. The essence of the 'geometrie' approach is just this: instead of looking directly for a feedback laW (say u = Fx) which would solve your synthesis problem if a solution exists, first characterize solvability as a verifiable property of some constructible state subspace, say J. Then, if all is weIl, you may calculate F from J quite easily |
| Beschreibung: | 1 Online-Ressource (X, 347 p) |
| ISBN: | 9783662226735 |
| DOI: | 10.1007/978-3-662-22673-5 |
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| 100 | 1 | |a Wonham, W. M. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Linear Multivariable Control |b A Geometric Approach |c by W. M. Wonham |
| 250 | |a 1st ed. 1974 | ||
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1974 | |
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| 490 | 0 | |a Lecture Notes in Economics and Mathematical Systems |v 101 | |
| 520 | |a In writing this monograph my objective is to present arecent, 'geometrie' approach to the structural synthesis of multivariable control systems that are linear, time-invariant, and of finite dynamic order. The book is addressed to graduate students specializing in control, to engineering scientists engaged in control systems research and development, and to mathematicians with some previous acquaintance with control problems. The label 'geometrie' is applied for several reasons. First and obviously, the setting is linear state space and the mathematics chiefly linear algebra in abstract (geometrie) style. The basic ideas are the familiar system concepts of controllability and observability, thought of as geometrie properties of distinguished state subspaces. Indeed, the geometry was first brought in out of revulsion against the orgy of matrix manipulation which linear control theory mainly consisted of, not so long ago. But secondlyand of greater interest, the geometrie setting rather quickly suggested new methods of attacking synthesis which have proved to be intuitive and economical; they are also easily reduced to matrix arith metic as soonas you want to compute. The essence of the 'geometrie' approach is just this: instead of looking directly for a feedback laW (say u = Fx) which would solve your synthesis problem if a solution exists, first characterize solvability as a verifiable property of some constructible state subspace, say J. Then, if all is weIl, you may calculate F from J quite easily | ||
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| edition | 1st ed. 1974 |
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| indexdate | 2024-07-10T08:56:08Z |
| institution | BVB |
| isbn | 9783662226735 |
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| spelling | Wonham, W. M. Verfasser aut Linear Multivariable Control A Geometric Approach by W. M. Wonham 1st ed. 1974 Berlin, Heidelberg Springer Berlin Heidelberg 1974 1 Online-Ressource (X, 347 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Economics and Mathematical Systems 101 In writing this monograph my objective is to present arecent, 'geometrie' approach to the structural synthesis of multivariable control systems that are linear, time-invariant, and of finite dynamic order. The book is addressed to graduate students specializing in control, to engineering scientists engaged in control systems research and development, and to mathematicians with some previous acquaintance with control problems. The label 'geometrie' is applied for several reasons. First and obviously, the setting is linear state space and the mathematics chiefly linear algebra in abstract (geometrie) style. The basic ideas are the familiar system concepts of controllability and observability, thought of as geometrie properties of distinguished state subspaces. Indeed, the geometry was first brought in out of revulsion against the orgy of matrix manipulation which linear control theory mainly consisted of, not so long ago. But secondlyand of greater interest, the geometrie setting rather quickly suggested new methods of attacking synthesis which have proved to be intuitive and economical; they are also easily reduced to matrix arith metic as soonas you want to compute. The essence of the 'geometrie' approach is just this: instead of looking directly for a feedback laW (say u = Fx) which would solve your synthesis problem if a solution exists, first characterize solvability as a verifiable property of some constructible state subspace, say J. Then, if all is weIl, you may calculate F from J quite easily Systems Theory, Control Calculus of Variations and Optimal Control; Optimization System theory Calculus of variations Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 s DE-604 Kontrolltheorie (DE-588)4032317-1 s Erscheint auch als Druck-Ausgabe 9783662226759 Erscheint auch als Druck-Ausgabe 9783662226742 Erscheint auch als Druck-Ausgabe 9783540069560 https://doi.org/10.1007/978-3-662-22673-5 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Wonham, W. M. Linear Multivariable Control A Geometric Approach Systems Theory, Control Calculus of Variations and Optimal Control; Optimization System theory Calculus of variations Multivariate Analyse (DE-588)4040708-1 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4040708-1 (DE-588)4032317-1 |
| title | Linear Multivariable Control A Geometric Approach |
| title_auth | Linear Multivariable Control A Geometric Approach |
| title_exact_search | Linear Multivariable Control A Geometric Approach |
| title_exact_search_txtP | Linear Multivariable Control A Geometric Approach |
| title_full | Linear Multivariable Control A Geometric Approach by W. M. Wonham |
| title_fullStr | Linear Multivariable Control A Geometric Approach by W. M. Wonham |
| title_full_unstemmed | Linear Multivariable Control A Geometric Approach by W. M. Wonham |
| title_short | Linear Multivariable Control |
| title_sort | linear multivariable control a geometric approach |
| title_sub | A Geometric Approach |
| topic | Systems Theory, Control Calculus of Variations and Optimal Control; Optimization System theory Calculus of variations Multivariate Analyse (DE-588)4040708-1 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Systems Theory, Control Calculus of Variations and Optimal Control; Optimization System theory Calculus of variations Multivariate Analyse Kontrolltheorie |
| url | https://doi.org/10.1007/978-3-662-22673-5 |
| work_keys_str_mv | AT wonhamwm linearmultivariablecontrolageometricapproach |