THE ESTIMATION OF A ROBUST DOMAIN OF ATTRACTION USING GERSHGORIN THEOREM

Authors
KAZAKOVAFREHSE N FRICK K
Citation
N. Kazakovafrehse et K. Frick, THE ESTIMATION OF A ROBUST DOMAIN OF ATTRACTION USING GERSHGORIN THEOREM, International journal of robust and nonlinear control, 8(3), 1998, pp. 295-303
Citations number
18
Categorie Soggetti
Mathematics,"Robotics & Automatic Control",Mathematics,"Engineering, Eletrical & Electronic","Robotics & Automatic Control
Journal title
International journal of robust and nonlinear control → ACNP
ISSN journal
10498923
Volume
8
Issue
3
Year of publication
1998
Pages
295 - 303
Database
ISI
SICI code
1049-8923(1998)8:3<295:TEOARD>2.0.ZU;2-A
Abstract
In this paper a method of determining a radius of a guaranteed robust region of attraction for nonlinear closed-loop uncertain systems is pr esented. The radius formula contains parameter-dependent eigenvalues o f 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 con cept of Gershgorin discs is used. A numerical example is included for a second-order system. (C) 1998 John Wiley & Sons, Ltd.