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In this paper, we introduce the pyramidal robot, a novel kind of parallel cable-based robot that has been constructed and designed with five cables. Last, we suggested a control method. In this context, we studied the application of the Runge-Kutta method of fourth order for resolving the non-linear partial differential equations of our system, which is frequently employed for managing uncertainties in linear systems. The primary contribution of this study is firstly the design of a reel prototype and the creation and implementation of a graphical user interface (GUI) for displaying the position of the end effector. Second, to test the precision of the tracking of the object, we analyse the system’s response using cutting-edge methods such as predictive control. Finally, using the advanced technique proposed, we present the simulation results on this cable-based robot. These results demonstrate the performance of the technique as proposed.