Orbital space operations must be executed safely and reliably to prevent unwanted failures. One way to validate these operations on Earth is by using testbed facilities that emulate zero-gravity conditions. This article presents the design and evaluation of a novel lightweight floating platform. The contributions are three-fold; the mechanical structure made from additive manufacturing using carbon-fiber material; the software packages, which are based on Robot Operating System (ROS); and the floating platform's position controller, created using disturbance rejection-based convex optimization method to suppress ground-induced mechanical disturbances and ensure stability. Two types of experiments are conducted in the multi-purpose Zero-G Lab facility of the SnT-University of Luxembourg to validate the performance of the floating platform, 1-Position control (single platform); 2-Emulation of an on-orbit cooperative docking scenario (two platforms). Results validate the use of the floating platform for emulating on-orbit scenarios. Optimized in the frequency domain, the proposed controller gives satisfying results for both disturbance rejection and set-point tracking purposes. The link to the Open-source ROS packages is available in the Appendix-B section.