Output Feedback Control in Descriptor System Admissible

In this paper, are propose new techniques for synthesis of output feedback controllers of descriptor system to attain the closed loop admissibility. A necessary and sufficient condition are shown for the existence of such a controller in terms of linearized LMIs whose solution yields a controller that satisfy the specification. Considered the existence problem and the compute of output feedback that stabilizable in descriptor systems. This paper show that based the coupled Sylvester equations and the coupled Lyapunov like equations can also be used to obtain a set of necessary and sufficient conditions for the existence of a output feedback controller, such that closed-loop system is admissible.