Robust Control Theory in Hilbert Space:
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Bibliographische Detailangaben
Beteilige Person: Feintuch, Avraham (VerfasserIn)
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