Hybrid dynamic systems are the complicated systems that consist of discrete event dynamic and continuous variables dynamic, and impulsive hybrid systems is the hybrid systems with impulsive phenomenon. Hybrid systems are widely used in hybrid automata, aircraft control system, automotive control systems, flexible manufacturing systems, networked control systems, etc.An impulsive hybrid system and its asymptotic stability, finite time stability are studied in this thesis, a kind of hybrid observer and controller are also designed in this thesis. The main original ideas included in this thesis are summarized as follows.Firstly, according to an impulsive system, an impulsive hybrid controller is de-signed with Backstepping method, and the closed-loop system is proved asymptotic stability by multiple Lyapunov functions. A simulation is given to illustrate the effec-tiveness of the proposed controller.Secondly, a high gain observer is designed for an impulsive hybrid system, and it is proved to be a finite time observer using finite time stability theory. A simulation is given to illustrate the effectiveness of the proposed observer.At last, a hybrid observer and a hybrid controller based on the hybrid observer are designed for an impulsive hybrid system, under their influence, the closed-loop system is asymptotic stable. A multi-Lyapunov function is constructed and used to prove as-ymptotic stability of the closed-loop system. Finally, a simulation is given to illustrate the effectiveness of the proposed approach. |