Robust Stabilisation and H_ Problems: 482 (Mathematics and Its Applications) - Softcover

Ionescu, Vlad; Stoica, Adrian-Mihail

Softcover

ISBN 10: 9401059780 ISBN 13: 9789401059787

Verlag: Springer, 2012

Inhaltsangabe

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.

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Críticas

`This is a useful book oriented to researchers, control systems engineers and applied mathematicians as well as to graduate students. Specialists in numerical computations will also find interesting issues in this book.'
Mathematical Reviews

Reseña del editor

This book contains the combined treatment of several problems of control systems theory, such as the HInfinity control problem, the Nehari problem and robust stabilisation. These topics are described from a new perspective which is essentially created by an original generalisation of the algebraic Riccati theory to the indefinite sign case.
The theory is developed using methods including the Popov function, the Kalman-Popov-Yakubovich system in J-form, and the extended Hamiltonian pencil. The signature condition on the Popov function plays a crucial role in providing the unified approach to solving the control problems considered. Particular attention is paid to the optimal solutions of the HInfinity control problem and the Nehari problem for which a singular perturbation-based technique is employed to derive explicit well-conditioned computational formulae. Numerical examples, mainly from aeronautics, illustrate the performances of the proposed procedures and design algorithms.
Audience: This volume will be of interest to researchers, graduate students and control engineers working in systems and control theory, mathematical systems theory, optimal control, aerospace engineering and numerical analysis.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2012
• ISBN 10: 9401059780
• ISBN 13: 9789401059787
• Einband: Tapa blanda
• Sprache: Englisch
• Anzahl der Seiten: 208
• Kontakt zum Hersteller: Nicht verfügbar