Band 390
Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems
Aus der Reihe
Lecture Notes in Control and Information Sciences
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Form:Einzelkauf Download
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Sprache:Englisch
98,99 €
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Produktdetails
Format
Kopierschutz
Nein
Family Sharing
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Text-to-Speech
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Erscheinungsdatum
13.07.2009
Verlag
Springer LondonSeitenzahl
198 (Printausgabe)
Dateigröße
2835 KB
Sprache
Englisch
EAN
9781848827813
Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems presents a number of techniques for robustness analysis of uncertain systems in a unified framework. The theoretical basis for their development is derived from the application of convex optimization tools to problems involving positivity of homogeneous polynomial forms.
The stability and performance analysis of dynamic systems affected by structured uncertainties usually requires the solution of non-convex optimization problems. A possible way to tackle such problems is to construct a family of convex relaxations which provide upper or lower bounds to the solution of the original problem. In this book convex relaxations for several robustness problems are derived by exploiting classical and new results on the theory of homogeneous polynomial forms. In particular, a general framework is introduced for dealing with positivity of forms via the solution of linear matrix inequalities, which are a special class of convex problems. Lyapunov analysis of uncertain systems affected by time-invariant or time-varying uncertainty, computation of the parametric robust stability margin, robust performance analysis for polytopic systems, are examples of problems addressed within the proposed framework.
The stability and performance analysis of dynamic systems affected by structured uncertainties usually requires the solution of non-convex optimization problems. A possible way to tackle such problems is to construct a family of convex relaxations which provide upper or lower bounds to the solution of the original problem. In this book convex relaxations for several robustness problems are derived by exploiting classical and new results on the theory of homogeneous polynomial forms. In particular, a general framework is introduced for dealing with positivity of forms via the solution of linear matrix inequalities, which are a special class of convex problems. Lyapunov analysis of uncertain systems affected by time-invariant or time-varying uncertainty, computation of the parametric robust stability margin, robust performance analysis for polytopic systems, are examples of problems addressed within the proposed framework.
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