Guaranteed Performance Control and Its Application for a Class of Uncertain Hybrid Systems

Motivated by applications of automatic gear boxes to automobiles, this paper investigates the guaranteed performance control problem for uncertain impulsive hybrid systems. A method is proposed for designing the guaranteed performance control laws via hybrid state feedback. Using the obtained controllers, the perturbed impulsive hybrid systems can be robust stabilized and the closed loop performance is guaranteed. Finally, an example is given to show the potential of the proposed techniques.