
Robust Control Theory in Hilbert Space
Avraham Feintuch(Author)
Springer (Publisher)
Published on 30. September 2012
Book
Paperback/Softback
XV, 228 pages
978-1-4612-6829-1 (ISBN)
Description
Motivation The latest texts on linear systems for engineering students have begun incorpo rating 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 develop ments of HOC control theory, presents a natural context for analysis and controller synthesis for time-invariant linear systems, whether of finite or infinite dimen sions. 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 ad vantages 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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1998
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XV, 228 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 14 mm
Weight
382 gr
ISBN-13
978-1-4612-6829-1 (9781461268291)
DOI
10.1007/978-1-4612-0591-3
Schweitzer Classification
Other editions
Additional editions

Avraham Feintuch
Robust Control Theory in Hilbert Space
Book
11/1997
Springer
€106.99
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Content
1 Basic Hilbert Space Theory.- 2 Operator Theoretic Preliminaries.- 3 A Distance Formula and Some Consequences.- 4 Factorization Theorems.- 5 Linear Systems.- 6 Stabilization.- 7 Uniform Optimal Control.- 8 Robustness of Time-Varying Systems.- 9 The Gap Metric and Internal Stability.- 10 Robust Stabilization in the Gap Metric.- 11 Orthogonal Embedding of Time-Varying Systems.