Robust optimal stabilization of the Brockett integrator via a hybrid feedback
Résumé
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.