Observer Design and Stabilization for a class of Switched System

This paper presents a novel and general approach, which is based on the Lyapunov stability theorem, to synthesize the observer and stabilization of the switched systems. On stability analysis, we can choose a particular state transformation matrix to transfer the observer-based switched system such that all subsystems can be decomposed into stable and unstable blocks. Some sufficient conditions are derived under a switching law such that the observer-based switched system is asymptotically stable. Finally, an example is presented to illustrate the proposed schemes.