DocumentCode
2186459
Title
An improved LMI condition for robust D-stability of uncertain polytopic systems
Author
Leite, Valter J S ; Peres, Pedro L D
Author_Institution
CEFET-MG, UnED Divinopolis, Brazil
Volume
1
fYear
2003
fDate
4-6 June 2003
Firstpage
833
Abstract
A sufficient condition for robust D-stability of linear systems with polytope type uncertainties is proposed. The result is based on a linear parameter dependent Lyapunov function obtained from the feasibility test of a set of linear matrix inequalities defined at the vertices of the polytope. This improved linear matrix inequality condition encompasses previous results based on additional inequalities as well as results based on extra variables, as illustrated by numerical examples.
Keywords
Lyapunov methods; linear matrix inequalities; linear systems; robust control; uncertain systems; LMI; Lyapunov function; feasibility test; linear matrix inequality; linear systems; numerical examples; polytope type uncertainties; robust D stability; sufficient condition; uncertain polytopic systems; Linear matrix inequalities; Linear systems; Lyapunov method; Robust control; Robust stability; Robustness; Stability analysis; Sufficient conditions; Testing; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2003. Proceedings of the 2003
ISSN
0743-1619
Print_ISBN
0-7803-7896-2
Type
conf
DOI
10.1109/ACC.2003.1239125
Filename
1239125
Link To Document