Ionescu / Stoica Robust Stabilisation and H_ Problems

1999
ISBN: 978-94-011-4702-6
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 482, 187 Seiten, eBook

Reihe: Mathematics and Its Applications

OO It is a matter of general consensus that in the last decade the H _ optimization for robust control has dominated the research effort in control systems theory. Much attention has been paid equally to the mathematical instrumentation and the computational aspects. There are several excellent monographs that cover the standard topics in the area. Among the recent issues we have to cite here Linear Robust Control authored by Green and Limebeer (Prentice Hall 1995), Robust Controller Design Using Normalized Coprime Factor Plant Descriptions - by McFarlane and Glover (Springer Verlag 1989), Robust and Optimal Control - by Zhou, Doyle and Glover (Prentice Hall 1996). Thus, when the authors of the present monograph decided to start the work they were confronted with a very rich literature on the subject. However two reasons motivated their initiative. The first concerns the theory in which the whole development of the book was embedded. As is well known, there are several ways of approach oo ing H and robust control theory. Here we mention three relevant direc tions chronologically ordered: a) the first makes use of a generalization of the Beurling-Lax theorem to Krein spaces; b) the second makes use of a generalization of Nevanlinna-Pick interpolation theory and commutant lifting theorem; c) the third, and probably the most attractive from an el evate engineering viewpoint, is the two Riccati equations based approach which offers a complete solution in state space form.

Zielgruppe

Research

Autoren/Hrsg.

Ionescu, Vlad

Stoica, Adrian-Mihail

Inhaltsverzeichnis

Preface. Acronyms, Notations, and Symbols. 1. Linear Systems: Some Prerequisites. 2. The Kalman-Popov-Yakubovich System of Indefinite Sign. 3. HINFINITY Control: A Signature Condition Based Approach. 4. The Nehari Problem. 5. Optimal HINFINITY Problems: A Singular Perturbation Approach. 6. Singular HINFINITY Problems. Bibliography. Index.