This paper presents a methodology to design a hybrid predictor of continuous signals to solve the stabilization problema of unstable linear systems with time delay, specifically systems with an unstable pole and a pair of stable conjugate complex poles. Among the main contributions of this work is to guarantee the existence of the predictor device, regardless of the size of the delay. To solve the stabilization problem, the necessary and sufficient conditions are obtained for a Proportional-Integral (PI) controller that can guarantee the stability of the system using the designed predictor. The performance of this control strategy is evaluated by means of a numerical simulation.

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