Stabilising controller design for uncertain systems with time-varying input delay

The design problem of a robust stabilisation controller for a class of uncertain systems with time-varying input delay is considered. The reduction method, a first-order transformation and the cone complementarity method are combined to produce a memory robust controller design method that does not need to exactly know the time delay. In the proposed method, only information on the variation range of the time delay is needed to design the controller. The effectiveness and less conservative nature of the proposed method is shown by a numerical example.