H∞ generalized dynamic observer-based control for uncertain descriptor systems

The present paper considers the H∞ generalized dynamic observer-based control for uncertain descriptor systems by using a generalized dynamic observer (GDO), which is more general than the proportional observer (PO) and the proportional-integral observer (PIO). The objective is to stabilize an uncertain descriptor system that normally is unstable by using the estimates given by the GDO while a given level of disturbance attenuation is assured. The stability conditions for the existence of this H∞ GDO-based control are given in terms of a set of linear matrix inequalities (LMIs). A numerical example is given to show the present approach.