Linear Multivariable Control: A Geometric Approach
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1985
|
| Ausgabe: | Third Edition |
| Schriftenreihe: | Applications of Mathematics
10 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In writing this monograph my aim has been to present a "geometric" 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 involved in control systems research and development, and to mathematicians interested in systems control theory. The label "geometric" in the title is applied for several reasons. First and obviously, the setting is linear state space and the mathematics chiefly linear algebra in abstract (geometric) style. The basic ideas are the familiar system concepts of controllability and observability, thought of as geometric 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, around fifteen years ago. But secondly and of greater interest, the geometric setting rather quickly suggested new methods of attacking synthesis which have proved to be intuitive and economical; they are also easily reduced to matrix arithmetic as soon as you want to compute. The essence of the "geometric" 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 Y. Then, if all is well, you may calculate F from Y quite easily |
| Beschreibung: | 1 Online-Ressource (XVI, 334 p) |
| ISBN: | 9781461210825 9781461270058 |
| ISSN: | 0172-4568 |
| DOI: | 10.1007/978-1-4612-1082-5 |
Internformat
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| 490 | 1 | |a Applications of Mathematics |v 10 |x 0172-4568 | |
| 500 | |a In writing this monograph my aim has been to present a "geometric" 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 involved in control systems research and development, and to mathematicians interested in systems control theory. The label "geometric" in the title is applied for several reasons. First and obviously, the setting is linear state space and the mathematics chiefly linear algebra in abstract (geometric) style. The basic ideas are the familiar system concepts of controllability and observability, thought of as geometric 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, around fifteen years ago. But secondly and of greater interest, the geometric setting rather quickly suggested new methods of attacking synthesis which have proved to be intuitive and economical; they are also easily reduced to matrix arithmetic as soon as you want to compute. The essence of the "geometric" 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 Y. Then, if all is well, you may calculate F from Y quite easily | ||
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Datensatz im Suchindex
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| edition | Third Edition |
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| institution | BVB |
| isbn | 9781461210825 9781461270058 |
| issn | 0172-4568 |
| language | English |
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| spelling | Wonham, W. Murray Verfasser aut Linear Multivariable Control A Geometric Approach by W. Murray Wonham Third Edition New York, NY Springer New York 1985 1 Online-Ressource (XVI, 334 p) txt rdacontent c rdamedia cr rdacarrier Applications of Mathematics 10 0172-4568 In writing this monograph my aim has been to present a "geometric" 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 involved in control systems research and development, and to mathematicians interested in systems control theory. The label "geometric" in the title is applied for several reasons. First and obviously, the setting is linear state space and the mathematics chiefly linear algebra in abstract (geometric) style. The basic ideas are the familiar system concepts of controllability and observability, thought of as geometric 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, around fifteen years ago. But secondly and of greater interest, the geometric setting rather quickly suggested new methods of attacking synthesis which have proved to be intuitive and economical; they are also easily reduced to matrix arithmetic as soon as you want to compute. The essence of the "geometric" 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 Y. Then, if all is well, you may calculate F from Y quite easily Mathematics Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 s 1\p DE-604 Multivariate Analyse (DE-588)4040708-1 s 2\p DE-604 Applications of Mathematics 10 (DE-604)BV000895226 10 https://doi.org/10.1007/978-1-4612-1082-5 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 | Wonham, W. Murray Linear Multivariable Control A Geometric Approach Applications of Mathematics Mathematics Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Kontrolltheorie (DE-588)4032317-1 gnd Multivariate Analyse (DE-588)4040708-1 gnd |
| subject_GND | (DE-588)4032317-1 (DE-588)4040708-1 |
| 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_full | Linear Multivariable Control A Geometric Approach by W. Murray Wonham |
| title_fullStr | Linear Multivariable Control A Geometric Approach by W. Murray Wonham |
| title_full_unstemmed | Linear Multivariable Control A Geometric Approach by W. Murray Wonham |
| title_short | Linear Multivariable Control |
| title_sort | linear multivariable control a geometric approach |
| title_sub | A Geometric Approach |
| topic | Mathematics Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Kontrolltheorie (DE-588)4032317-1 gnd Multivariate Analyse (DE-588)4040708-1 gnd |
| topic_facet | Mathematics Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Kontrolltheorie Multivariate Analyse |
| url | https://doi.org/10.1007/978-1-4612-1082-5 |
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