Artículos de revistas
A new discrete-time robust stability conditions
Registro en:
Systems & Control Letters. Elsevier Science Bv, v. 37, n. 4, n. 261, n. 265, 1999.
0167-6911
WOS:000165573200009
10.1016/S0167-6911(99)00035-3
Autor
de Oliveira, MC
Bernussou, J
Geromel, JC
Institución
Resumen
A new robust stability condition for uncertain discrete-time systems with convex polytopic uncertainty is given. It enables to check stability using parameter-dependent Lyapunov functions which an derived from LMI conditions. It is shown that this new condition provides better results than the classical quadratic stability. Besides the use of a parameter-dependent Lyapunov function, this condition exhibits a kind of decoupling between the Lyapunov and the system matrices which may be explored for control synthesis purposes. A numerical example illustrates the results. (C) 1999 Elsevier Science B.V. All rights reserved. 37 4 261 265