Optimal state derivative feedback control for singular systems

In this paper, a linear quadratic optimal control problem for linear descriptor systems is investigated. The optimal control is synthesized as derivative state feedback which guarantees that the closed loop system is stable and that minimizes quadratic criteria expressed a performance level. The steady state derivative feedback optimal gain can be computed by the use of the algebraic Riccati equations (ARE) or linear matrix inequalities (LMI). The proposed methods are checked by example.