Stabilization and tracking control for an extended Heisenberg system with a drift
Résumé
In this paper, we present sliding mode control algorithms, that are designed to practically stabilize (which means that the system state is stabilized to an ɛɛ neighborhood of the origin) the perturbed multidimensional Heisenberg system (therefore, with a drift) with additional two multidimensional integrators in the control inputs path. This result is then used to solve a tracking problem for the class of system which unperturbed model fails Brockett's necessary condition for the existence of a continuous, time independent feedback law.