Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems / Lecture Notes in Control and Information Sciences Bd.390 (PDF)
(Sprache: Englisch)
This book presents a number of techniques for robustness analysis of uncertain systems. The theoretical basis for their development is derived from the application of convex optimization tools to problems involving positivity of homogeneous polynomial...
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This book presents a number of techniques for robustness analysis of uncertain systems. The theoretical basis for their development is derived from the application of convex optimization tools to problems involving positivity of homogeneous polynomial forms. Usually, stability and performance analysis of dynamic systems affected by structured uncertainties, requires the solution of non-convex optimization problems. Constructing a family of convex relaxations, namely convex optimisations, can provide upper or lower bound to the original problem. In this book convex relaxations for several robustness problems are derived by exploiting and providing new results on the theory of homogeneous polynomial forms. A framework is introduced for dealing with positivity of homogeneous forms via the solution of linear matrix inequalities, with examples including Lyapunov analysis of uncertain systems, computation of the parametric robust stability margin, and robust performance analysis for polytopic systems.
Bibliographische Angaben
- Autoren: Graziano Chesi , Andrea Garulli , Alberto Tesi , Antonio Vicino
- 2009, 2009, 198 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 1848827814
- ISBN-13: 9781848827813
- Erscheinungsdatum: 13.07.2009
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- Größe: 2.77 MB
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Pressezitat
From the reviews:“The book describes convex optimization techniques to deal with stability and performance evaluation for linear dynamical systems subject to parametric uncertainty. … In summary, the book is a welcome and timely addition to the technical literature, written by leading experts in the field. It is aimed at systems and control researchers willing to explore further than mainstream LMI Lyapunov analysis techniques, with the possibility of trading off between conservatism and computational burden.” (Didier Henrion, Mathematical Reviews, Issue 2010 g)
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