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The estimation of a robust domain of attraction using Gershgorin theorem

โœ Scribed by N. Kazakova-Frehse; K. Frick

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
248 KB
Volume
8
Category
Article
ISSN
1049-8923

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โœฆ Synopsis

In this paper a method of determining a radius of a guaranteed robust region of attraction for nonlinear closed-loop uncertain systems is presented. The radius formula contains parameter-dependent eigenvalues of the matrix of the parametrized quadratic Lyapunov function. As these eigenvalues usually are not analytically calculable, one can apply an algebraic estimation technique for eigenvalues. In this paper the concept of Gershgorin discs is used. A numerical example is included for a second-order system.

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