This paper introduces a high-performance, single-stage photovoltaic solar pumping system that operates without a battery. Its primary focus is on the design and control of a low-voltage squirrel cage asynchronous motor powered by renewable photovoltaic energy. The system employs the Hill-Of-the-Abscissa (HOA)-based Maximum Power Point Tracking (MPPT) technique to optimize the power balance between the motor and the solar panels, ensuring its operation at the global maximum power point (GMPP). Additionally, the rotational speed of the motor is controlled using Predictive Torque Control (PTC), which is based on torque and flux. The control scheme proposed in this paper is thoroughly modeled and simulated using MATLAB/Simulink software. The simulations aim to evaluate the system's performance under variations in irradiance and partial shading. The obtained results from the simulations run using the suggested control strategies are then compared to other methods found in the literature, such as the Grey Wolf Optimizer (GWO), Flower Pollination Algorithm (FPA), Cuckoo Search Algorithm (CSA), and Perturb and Observe (P&O). The simulation results indicate that the proposed system performs satisfactorily, as the HOA outperforms all MPPT in terms of speed and stability at the access GMPP. The combination of a single-stage design, enhanced power extraction, and precise motor speed control positions the system as a promising solution both technically and economically. Overall, our findings suggest that the presented photovoltaic solar pumping system has the potential to be a reliable and efficient solution for pumping water using renewable energy sources.