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Author Bachelier, O. ♦ Henrion, D. ♦ Pradin, B. ♦ Mehdi, D.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2005
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Robustness ♦ Uncertainty ♦ Robust stability ♦ Linear matrix inequalities ♦ Frequency ♦ Riccati equations ♦ Eigenvalues and eigenfunctions ♦ Information theory ♦ Automatic control ♦ Damping
Abstract This paper considers robust stability analysis for a matrix affected by LFT-based complex uncertainty (LFT for linear fractional transformation). A method is proposed to compute a bound on the amount of uncertainty ensuring robust root-clustering in a combination (intersection and/or union) of several possibly nonsymmetric half planes, discs, and exteriors of discs. In some cases to be detailed, this bound is not conservative. The conditions are expressed in terms of (linear matrix inequalities) LMIs and derived through Lyapunov’s second method. As a distinctive feature of the approach, the Lyapunov matrices proving robust root-clustering (one per subregion) are not necessarily positive definite, but have prescribed inertias depending on the number of roots in the corresponding subregions. As a special case, when root-clustering in a single half plane, disc or exterior of a disc is concerned, the whole clustering region reduces to only one convex subregion and the corresponding unique Lyapunov matrix has to be positive definite as usual. The extension to polytopic LFT-based uncertainty is also addressed.
Description Author affiliation: Laboratoire d’Automatique et d’Informatique Industrielle (LAII) de l’Ecole Supérieure d’Ingénieurs de Poitiers (ESIP), 40 avenue du Recteur Pineau, 86022 Poitiers Cedex, France. Olivier.Bachelier@univ-potiers.fr (Bachelier, O.)
ISBN 0780395670
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2005-12-15
Publisher Place Spain
Rights Holder IEEE/EUCA
Size (in Bytes) 164.23 kB
Page Count 6
Starting Page 4548
Ending Page 4553


Source: IEEE Xplore Digital Library