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
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;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1239125
