Exponential Stabilization of Nonlinear Systems by an Estimated State Feedback
Iggidr, Abderrahman ; Sallet, Gauthier
HAL, hal-01862880 / Harvested from HAL
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/