Chain-scattering approach to H[∞] control
Author(s)
Bibliographic Information
Chain-scattering approach to H[∞] control
(Systems & control)
Birkhäuser, c1997
- : us
- : sz
- Other Title
-
Chain-scattering approach to H [infinity symbol] control
Available at 46 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographical references (p. 237-246)
Description and Table of Contents
- Volume
-
: us ISBN 9780817637873
Description
Through its rapid progress in the last decade, HOOcontrol became an established control technology to achieve desirable performances of con- trol systems. Several highly developed software packages are now avail- able to easily compute an HOOcontroller for anybody who wishes to use HOOcontrol. It is questionable, however, that theoretical implications of HOOcontrol are well understood by the majority of its users. It is true that HOOcontrol theory is harder to learn due to its intrinsic mathemat- ical nature, and it may not be necessary for those who simply want to apply it to understand the whole body of the theory. In general, how- ever, the more we understand the theory, the better we can use it. It is at least helpful for selecting the design options in reasonable ways to know the theoretical core of HOOcontrol. The question arises: What is the theoretical core of HOO control? I wonder whether the majority of control theorists can answer this ques- tion with confidence. Some theorists may say that the interpolation theory is the true essence of HOOcontrol, whereas others may assert that unitary dilation is the fundamental underlying idea of HOOcontrol.
The J- spectral factorization is also well known as a framework of HOOcontrol. A substantial number of researchers may take differential game as the most salient feature of HOOcontrol, and others may assert that the Bounded Real Lemma is the most fundamental building block.
Table of Contents
1 Introduction.- 1.1 Impacts of H?Control.- 1.2 Theoretical Background.- 2 Elements of Linear System Theory.- 2.1 State-Space Description of Linear Systems.- 2.2 Controllability and Observability.- 2.3 State Feedback and Output Insertion.- 2.4 Stability of Linear Systems.- 3 Norms and Factorizations.- 3.1 Norms of Signals and Systems.- 3.2 Hamiltonians and Riccati Equations.- 3.3 Factorizations.- 4 Chain-Scattering Representations of the Plant.- 4.1 Algebra of Chain-Scattering Representation.- 4.2 State-Space Forms of Chain-Scattering Representation.- 4.3 Dualization.- 4.4 J-Lossless and (J, J?)-Lossless Systems.- 4.5 Dual (J, J?)-Lossless Systems.- 4.6 Feedback and Terminations.- 5 J-Lossless Conjugation and Interpolation.- 5.1 J-Lossless Conjugation.- 5.2 Connections to Classical Interpolation Problem.- 5.3 Sequential Structure of J-Lossless Conjugation.- 6 J-Lossless Factorizations.- 6.1 (J, J?)-Lossless Factorization and Its Dual.- 6.2 (J, J?)-Lossless Factorization by J-Lossless Conjugation.- 6.3 (J, J?)-Lossless Factorization in State Space.- 6.4 Dual (J, J?)-Lossless Factorization in State Space.- 6.5 Hamiltonian Matrices.- 7 H? Control via (J, J?)-Lossless Factorization.- 7.1 Formulation of H? Control.- 7.2 Chain-Scattering Representations of Plants and H? Control.- 7.3 Solvability Conditions for Two-Block Cases.- 7.4 Plant Augmentations and Chain-Scattering Representations.- 8 State-Space Solutions to H? Control Problems.- 8.1 Problem Formulation and Plant Augmentation.- 8.2 Solution to H? Control Problem for Augmented Plants.- 8.3 Maximum Augmentations.- 8.4 State-Space Solutions.- 8.5 Some Special Cases.- 9 Structure of H? Control.- 9.1 Stability Properties.- 9.2 Closed-Loop Structure of H? Control.- 9.3 Examples.
- Volume
-
: sz ISBN 9783764337872
Description
The purpose of this text is to provide a natural theoretical framework that is understandable for practitioners of control system design with little mathematical background.
by "Nielsen BookData"