This work describes a sequence of steps for making controllers in order to contribute to the implementation of a practical study plan. Showing this sequence in a practical way in the design of three controllers, two of them using the Geometric Root Locus technique and one using the Pole Allocation technique in State Space. For this, the Pendulum-Helix was used as a system to be controlled, modeling it, obtaining both its download function and its linearization and its representation in the State Space through its controllable canonical form. Through the response to a step-type input, the system and the system with the controllers are powered by analyzing the maximum overshoot, settling time and steady-state error. The results show that using both techniques it is possible to achieve the desired design requirements, where the Pole Allocation technique proved to be simpler and more effective.
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