Title :
Robust pole-clustering for descriptor systems a strict LMI characterization
Author :
Marx, B. ; Koenig, D. ; Georges, D.
Author_Institution :
Laboratoire d´Automatique de Grenoble B.P. 46, 38402 Saint Martin d´Hères Cedex, France
Abstract :
This paper tackles the problem of the characterization of robust pole-clustering for descriptor systems using linear matrix inequalities (LMI). It states a necessary and sufficient condition for a descriptor system to be impulse free and to have its finite poles in a specified convex region of the complex plane. A sufficient condition to guarantee this result in the presence of norm-bounded uncertainties is established. The results are expressed in terms of strict LMIs, thus they are numerically tractable with LMI optimization tools. Numerical examples are given.
Keywords :
Control systems; Eigenvalues and eigenfunctions; Robustness; Strips; Sufficient conditions; Symmetric matrices; Uncertainty; LMI; descriptor systems; robust pole-clustering;
Conference_Titel :
European Control Conference (ECC), 2003
Conference_Location :
Cambridge, UK
Print_ISBN :
978-3-9524173-7-9