Robust Control Theory in Hilbert Space:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY
Springer New York
1998
|
| Schriftenreihe: | Applied Mathematical Sciences
130 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-1-4612-0591-3 |
| Beschreibung: | Motivation The latest texts on linear systems for engineering students have begun incorporating chapters on robust control using the state space approach to HOC control for linear finite dimensional time-invariant systems. While the pedagogical and computational advantages of this approach are not to be underestimated, there are, in my opinion, some disadvantages. Among these disadvantages is the narrow viewpoint that arises from the amputation of the finite dimensional time-invariant case from the much more general theory that had been developed using frequency domain methods. The frequency domain, which occupied center stage for most of the developments of HOC control theory, presents a natural context for analysis and controller synthesis for time-invariant linear systems, whether of finite or infinite dimensions. A fundamental role was played in this theory by operator theoretic methods, especially the theory of Toeplitz and skew-Toeplitz operators. The recent lecture notes of Foias, Ozbay, and Tannenbaum [3] display the power of this theory by constructing robust controllers for the problem of a flexible beam. Although controller synthesis depends heavily on the special computational advantages of time-invariant systems and the relationship between HOC optimization and classical interpolation methods, it turns out that the analysis is possible without the assumption that the systems are time-invariant |
| Umfang: | 1 Online-Ressource (XV, 228 p) |
| ISBN: | 9781461205913 9781461268291 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/978-1-4612-0591-3 |
Internformat
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| 500 | |a Motivation The latest texts on linear systems for engineering students have begun incorporating chapters on robust control using the state space approach to HOC control for linear finite dimensional time-invariant systems. While the pedagogical and computational advantages of this approach are not to be underestimated, there are, in my opinion, some disadvantages. Among these disadvantages is the narrow viewpoint that arises from the amputation of the finite dimensional time-invariant case from the much more general theory that had been developed using frequency domain methods. The frequency domain, which occupied center stage for most of the developments of HOC control theory, presents a natural context for analysis and controller synthesis for time-invariant linear systems, whether of finite or infinite dimensions. A fundamental role was played in this theory by operator theoretic methods, especially the theory of Toeplitz and skew-Toeplitz operators. The recent lecture notes of Foias, Ozbay, and Tannenbaum [3] display the power of this theory by constructing robust controllers for the problem of a flexible beam. Although controller synthesis depends heavily on the special computational advantages of time-invariant systems and the relationship between HOC optimization and classical interpolation methods, it turns out that the analysis is possible without the assumption that the systems are time-invariant | ||
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Datensatz im Suchindex
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| id | DE-604.BV042419563 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:40Z |
| institution | BVB |
| isbn | 9781461205913 9781461268291 |
| issn | 0066-5452 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854980 |
| oclc_num | 863699255 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XV, 228 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer New York |
| record_format | marc |
| series2 | Applied Mathematical Sciences |
| spellingShingle | Feintuch, Avraham Robust Control Theory in Hilbert Space Mathematics Mathematical optimization Calculus of Variations and Optimal Control; Optimization Mathematik Kontrolltheorie (DE-588)4032317-1 gnd Robuste Kontrolle (DE-588)4232797-0 gnd Zeitvariantes System (DE-588)4190654-8 gnd Operatortheorie (DE-588)4075665-8 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| subject_GND | (DE-588)4032317-1 (DE-588)4232797-0 (DE-588)4190654-8 (DE-588)4075665-8 (DE-588)4159850-7 |
| title | Robust Control Theory in Hilbert Space |
| title_auth | Robust Control Theory in Hilbert Space |
| title_exact_search | Robust Control Theory in Hilbert Space |
| title_full | Robust Control Theory in Hilbert Space by Avraham Feintuch |
| title_fullStr | Robust Control Theory in Hilbert Space by Avraham Feintuch |
| title_full_unstemmed | Robust Control Theory in Hilbert Space by Avraham Feintuch |
| title_short | Robust Control Theory in Hilbert Space |
| title_sort | robust control theory in hilbert space |
| topic | Mathematics Mathematical optimization Calculus of Variations and Optimal Control; Optimization Mathematik Kontrolltheorie (DE-588)4032317-1 gnd Robuste Kontrolle (DE-588)4232797-0 gnd Zeitvariantes System (DE-588)4190654-8 gnd Operatortheorie (DE-588)4075665-8 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| topic_facet | Mathematics Mathematical optimization Calculus of Variations and Optimal Control; Optimization Mathematik Kontrolltheorie Robuste Kontrolle Zeitvariantes System Operatortheorie Hilbert-Raum |
| url | https://doi.org/10.1007/978-1-4612-0591-3 |
| work_keys_str_mv | AT feintuchavraham robustcontroltheoryinhilbertspace |