Robust optimal stabilization of the Brockett integrator via a hybrid feedback
Prieur, Christophe ; Trélat, Emmanuel
HAL, hal-00086453 / Harvested from HAL
The problem of semi-global robust stabilization of the Brockett integrator (also called Heisenberg system) in minimal time is addressed and solved by means of a hybrid feedback law. It is shown that the solutions of the closed-loop system converge to the origin in minimal time (for a given bound on the control) with a robustness property with respect to small measurement noise, external disturbance and actuator noise.
Publié le : 2004-07-05
Classification:  [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-00086453,
     author = {Prieur, Christophe and Tr\'elat, Emmanuel},
     title = {Robust optimal stabilization of the Brockett integrator via a hybrid feedback},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00086453}
}
Prieur, Christophe; Trélat, Emmanuel. Robust optimal stabilization of the Brockett integrator via a hybrid feedback. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00086453/