Abstract
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 reduced-order H∞ filter and controller. Finally, feasibilities of this study are illustrated by a practically classical railway system model and a numerical example.
Published Version
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