While conventional control techniques for stabilizing power electronic converters with constant-power load (CPL) often rely on complete system state information, the associated challenges, including the cost and increased size due to the installation of multiple sensors, necessitate exploration of alternative methodologies. To address these concerns, a novel observer-based sliding-mode control approach is proposed. This approach aims to enhance cost-effectiveness and reliability in the context of a DC-DC buck converter supplying power to an unknown CPL. The core concept involves designing a state observer to estimate the system's current based on voltage measurements. A non-certainty equivalent adaptive update law is then introduced to estimate the unknown CPL, incorporating feedback from voltage measurements and current estimation. To guarantee stability in the face of uncertainties in system parameters, a thorough analysis utilizing the Lyapunov theorem is conducted on the closed-loop system. The efficacy and feasibility of the proposed control algorithm are substantiated through experimental results on the OPAL-RT platform, showcasing its promising performance.