In recent years, energy conservation has become an increasingly important aspect of everyday life and a goal to be actively pursued in corporate policies. In this context, optimization strategies have been developed to reduce the energy consumption of mechatronic systems. This work focuses on the optimization of the motion profile of a belt-driven positioning mechanism that moves a mass along linear guides. In fact, while the displacement and timing of moving units in automation systems, such as precision positioning systems, are generally predefined, the motion profile typically remains variable, allowing optimizations aimed at, e.g., reducing torque peaks, minimizing vibrations, or decreasing maximum power requirements. The paper follows a two-step structure: in the first part, a functional model of the system is developed, to accurately characterize the kinematic chain of the positioner, and in the second, a single parameter motion law is proposed to simplify profile optimization, together with an application example. The functional model includes variables derived through parametric identification from experimental tests on horizontal positioners (as load mass, friction models, and inertial effects). The friction model includes load-induced friction and dynamic considerations, either derived from models proposed in previous literature, or ad-hoc developed for the system under investigation. The motion law optimization process implements the proposed approach to minimize the torque peak (directly correlated to the belt tension). This profile adjustment could improve the dynamics of the system, favoring a decrease in the energy consumption of each duty cycle. Future developments include the implementation of a parametric motion law in the experimental setups to validate the improvements in motion planning and performance.