Control based in an observer scheme for first-order systems with delay

This work considers the problem of stabilization and control of first order linear systems with time delay at direct path. As it is well known, the stability analysis of this kind of systems becomes difficult due to the term dead time considered. To solve the stabilization problem as first step, the conditions that assure the stability of the systems in closed-loop with a proportional feedback are presented. These conditions are used in order to design an observer (predicting) scheme that provides adequate convergent error. The proposed scheme results similar to the traditional Smith Predictor without stability demands in the process that such approach require. The observer scheme is complemented by the use of a PI compensator to follow step references signals and disturbances rejecting of the same sort.