Domain of Attraction

Analysis and Control via SOS Programming
 Taschenbuch
Sofort lieferbar | Lieferzeit:3-5 Tage I
ISBN-13:
9780857299581
Einband:
Taschenbuch
Erscheinungsdatum:
01.10.2011
Seiten:
286
Autor:
Graziano Chesi
Gewicht:
436 g
Format:
236x159x20 mm
Serie:
415, Lecture Notes in Control and Information Sciences
Sprache:
Englisch
Beschreibung:

Offers instructors a concise and simple description of the main features of SOS programming which can be used in the classroom Gives readers a systematic strategy for the estimation and control of the domain of attraction in dynamical systems
 Allows the reader to tackle stability problems through a thorough knowledge of the domain of attraction of equilibrium points
SOS Polynomials.- Optimization with SOS Polynomials.- Preliminaries of Nonlinear Systems.- Domain of Attraction in Polynomial Systems.- Domain of Attraction in Uncertain Polynomial Systems.- Domain of Attraction in Non-polynomial Systems.- Domain of Attraction via Multiple Lyapunov Function.- Miscellaneous.
For nonlinear dynamical systems, which represent the majority of real devices, any study of stability requires the investigation of the domain of attraction of an equilibrium point, i.e. the set of initial conditions from which the trajectory of the system converges to equilibrium. Unfortunately, both estimating and attempting to control the domain of attraction are very difficult problems, because of the complex relationship of this set with the model of the system. Domain of Attraction addresses the estimation and control of the domain of attraction of equilibrium points via SOS programming, i.e. optimization techniques based on the sum of squares of polynomials (SOS) that have been recently developed and that amount to solving convex problems with linear matrix inequality constraints. A unified framework for addressing these issues is presented for in various cases depending on the nature of the nonlinear systems considered, including the cases of polynomial, non-polynomial, certain and uncertain systems. The methods proposed are illustrated various example systems such as electric circuits, mechanical devices, and nuclear plants. Domain of Attraction also deals with related problems that can be considered within the proposed framework, such as characterizing the equilibrium points and bounding the trajectories of nonlinear systems, and offers a concise and simple description of the main features of SOS programming, which can be used for general purpose in research and teaching.

Kunden Rezensionen

Zu diesem Artikel ist noch keine Rezension vorhanden.
Helfen sie anderen Besuchern und verfassen Sie selbst eine Rezension.

Google Plus
Powered by Inooga