Memoryless H∞ controller for singular systems with delayed state and control

In this paper, the memoryless H∞ controllers for singular systems with delayed state and control are presented. Based on the modified Riccati-equation approach, a memoryless linear time-invariant state feedback control law is developed. The controller, which is a delay-independent stabilizer for the singular delayed system will simultaneously reduce the H∞ norm of the closed-loop transfer function from the disturbance to the controlled output to a prescribed level. An illustrative example is included to demonstrate our proposed approach.