Title :
LMI based robust stability conditions for linear uncertain systems: a numerical comparison
Author :
de Oliveira, P.I. ; Oliveira, R. C L E ; Leite, V.J.S. ; Montagner, V.F. ; Peres, P.L.D.
Author_Institution :
DCET - UNEB, Salvador, Brazil
Abstract :
In the paper, several numerical experiments are performed in order to compare three linear matrix inequalities based sufficient conditions for the robust stability of linear systems in polytopic domains. The conditions are the quadratic stability and two robust stability conditions based on parameter dependent Lyapunov functions: one using extra variables and augmented equations and the other using a larger number of equations. From the examples, it is possible to infer about the conservativeness of the conditions and also about the cases in which an equivalence exists. Both continuous-time and discrete-time systems are investigated.
Keywords :
Lyapunov methods; continuous time systems; discrete time systems; linear matrix inequalities; linear systems; robust control; uncertain systems; LMI based robust stability conditions; continuous-time systems; discrete-time systems; linear matrix inequalities; linear uncertain systems; parameter dependent Lyapunov functions; polytopic domains; quadratic stability; Equations; Linear matrix inequalities; Linear systems; Lyapunov method; Performance evaluation; Robust stability; Sufficient conditions; Testing; Uncertain systems; Uncertainty;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184575
