Guaranteed performance control for uncertain impulsive hybrid systems and its application

Motivated by the applications of the automatic transmissions and the cruise controllers to automobiles, this paper investigates the guaranteed performance control problem for uncertain impulsive hybrid dynamic systems. The method is proposed for designing the guaranteed performance control laws via hybrid state feedback. By the obtained controllers, the perturbed impulsive hybrid systems can be robustly stabilized and the close loop performance is guaranteed. Finally, an example is given to show the potential of the proposed techniques.