An LMI approach to admissibilization of descriptor systems via state derivative feedback

This paper provides a technique for admissibilization of linear descriptor systems by state derivative feedback. Sufficient conditions are derived for the closed-loop system to be admissible are given in terms of linear matrix inequalities (LMIs). So, these conditions are reliable using numerical computations. An explicit expression of the desired derivative state feedback control law is also given. Finally, numerical examples are included to show the effectiveness of the proposed methods.