Delay-dependent sampled-data control of LTI systems

In this paper the sampled-data stabilization of linear time-invariant systems with feedback delay is considered. We assume that the delay is time-varying and that its value is approximatively known. We investigate how to use the available information about the evolution of delays for adapting the control law. Numerical methods for the design of a delay-dependent controller are presented. This procedure may be used for providing a control for some cases in which the stabilization cannot be ensured using a controller with a fixed structure.