In this paper we investigate the stabi-lizability problem of a class of multi-input multi-output nonlinear systems which linearization at the origin is controllable and observable. Under assumptions on the nonlinear part we prove : (a) the system is globally exponentially stabilizable (G.E.S) by means of linear feedback law. (b) the system can be G.E.S using a state estimation given by an observer.
Publié le : 1993-06-28
Classification:
exponential stabilization,
feedback,
non-linear systems,
Lyapunov functions,
observer,
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],
[SPI.AUTO]Engineering Sciences [physics]/Automatic
@article{hal-01862880,
author = {Iggidr, Abderrahman and Sallet, Gauthier},
title = {Exponential Stabilization of Nonlinear Systems by an Estimated State Feedback},
journal = {HAL},
volume = {1993},
number = {0},
year = {1993},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01862880}
}
Iggidr, Abderrahman; Sallet, Gauthier. Exponential Stabilization of Nonlinear Systems by an Estimated State Feedback. HAL, Tome 1993 (1993) no. 0, . http://gdmltest.u-ga.fr/item/hal-01862880/