Reduced-order H . filter with controller design for switched systems

This paper deals with reduced -order H . filter with controller design for switched systems when the states are not directly observable. A reduced -order H . filter is firstly used to achieve state estimation for the considered switched system. Then, a controller is designed based on the reduced -order H . filter's states and switched system's outputs. In this way, not only state estimation but also feedback control can be realized at the same time. A sufficient condition is given to achieve exponential stability with a weighted H . performance for the generalized error system by Lyapunov function method. A co -design method is also shown for the reducedorder H . filter and controller. Finally, feasibilities of this study are illustrated by a practically classical railway system model and a numerical example.