Static output feedback control for continuous descriptor systems

The static output feedback control problem is investigated in this paper for continuous descriptor systems. New necessary and sufficient conditions are established to ensure the admissibility of the continuous descriptor systems. Then, based on the new necessary and sufficient conditions, sufficient conditions are derived for admissibility of the closed-loop systems. The desired static output feedback controllers can be derived directly via the cone complementarity linearization techniques. Finally, an illustrative example is presented to demonstrate the effectiveness of the proposed approach in this paper.