Position control of a suspended mass through two cables under the effects of the catenary

The present article describes the use of controllers, using a profit planner algorithm, to stabilize a mass in a given reference point, using two steel cables and a metal rod, analyzing the catenary behavior of the cable in several points of operation of the system. To obtain a better uniformity of response, a control system was adopted, with reference signals type ramp, to stabilize smoothly and get to the reference quickly, in order to avoid the accelerated start of the three-phase motor and obtain better accuracy in the response of the system. The tuning of the controller is done in several stages, since being a system of non-linear type, proceeds to use the method of extended linearization, adjusting different parameters Kp, Ki and Kd, for the rise or fall of the mass due to the elongation and contraction of the cable. The graphs obtained visualize the solution of the problem and the action of the controllers in the corresponding stages, giving an efficient response to external disturbances, stabilizing the mass in the reference position given in each test performed.