Stability Analysis using Lyapunov–Krasovskii Functional in Discrete Systems with Time–Delays*

In this paper the problem of stabilization of continuous systems with time delay in input which are discretized is addressed. Using a predictor based controller capable of stabilizing and compensating the discrete model and continuous model as well, is obtained. This scheme allows using a digital controller for stabilizing an analog plant. The performance of such a control scheme is tested in the case of simplified attitude control of a vehicle.