书目名称 | Robust Control Theory in Hilbert Space |
编辑 | Avraham Feintuch |
视频video | |
概述 | The necessary operator theory is developed from first principles - The book is as self-contained as possible - All competition is aimed at the engineering community; this book is aimed at mathematicia |
丛书名称 | Applied Mathematical Sciences |
图书封面 |  |
描述 | 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 |
出版日期 | Book 1998 |
关键词 | Hilbert space; Operator theory; control; control theory; optimal control; robust control; stability; stabil |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4612-0591-3 |
isbn_softcover | 978-1-4612-6829-1 |
isbn_ebook | 978-1-4612-0591-3Series ISSN 0066-5452 Series E-ISSN 2196-968X |
issn_series | 0066-5452 |
copyright | Springer Science+Business Media New York 1998 |