MEMORYLESS H-INFINITY, CONTROLLER-DESIGN FOR LINEAR-SYSTEMS WITH DELAYED STATE AND CONTROL

Abstract

We present a memoryless H-infinity control design method for linear time-invariant systems that have no parametric uncertainty but delay in the state and control. Based on the Riccati-equation approach, we design a memoryless linear time-invariant state feedback control law, which guarantees the asymptotic stability of the closed-loop control system and reduces the effect of the disturbance input on the controlled output to a prescribed level.