Hybrid feedback control based on hybrid observer

The stabilization of a class of hybrid system based on hybrid observer is studied in this paper. A hybrid Lyapunov function for the overall system is firstly established through a Lyapunov function of the linear part and that of the discrete event. A hybrid feedback is then designed respectively to stabilize the system. The closed-loop system is also verified to be stable. Finally, a simulation example is given to show the effectiveness of the proposed approach.