Stabilization of rectangular descriptor systems

In this paper a new feedback structure, dynamic output feedback (dynamic compensator) plus state feedback, is utilized to stabilize rectangular descriptor systems. A necessary and sufficient condition is derived such that the resultant closed-loop system is regular, impulse-free and stable (it is called admissible). In addition, it is shown that, using this type compensator, the admissible condition is weaker than that using only dynamic compensator. Moreover, a condition for the dynamic order of the proposed compensator being free or not is also derived. Finally, an algorithm for constructing a full order compensator is also presented.