Robust H∞ control for a class of uncertain Lur´e singular systems with time-delays

In this paper, the analysis of the robust stability and the design of robust H_∞ state feedback controllers for a class of Lurie singular system with both time-delays and parameters uncertainties is studied. The sufficient conditions of robust stability for the uncertain Lurie delay singular systems are presented, and the solution of the uncertain Lurie time-delay singular system is regular, impulse free, and stable for all admissible uncertainties. Furthermore, a LMI based robust H_∞ state feedback controller is developed to guarantee both the robust stability and the H_∞ performance of the ultimate controller-included closed-loop system. Finally, illustrative examples are advanced to demonstrate the superiority of this method.