<p>This paper presents a comprehensive study on the development and evaluation of an advanced control allocation algorithm for spacecraft attitude control, utilizing linear programming (LP) and relaxed quadratic programming (QP). The focus of this research is on optimizing the distribution of control forces among thrusters within the reaction control system (RCS) to enhance the precision and efficiency of spacecraft orientation maneuvers. The challenge of control allocation is addressed through an optimization framework that integrates multi-objective functions, which are solved using sophisticated convex optimization techniques. Detailed numerical experiments were conducted to assess the effectiveness of the proposed methods under varying operational conditions, ranging from straightforward to highly demanding. The findings demonstrate that both LP and relaxed QP are capable of effectively stabilizing the spacecraft’s attitude and angular velocity, with relaxed QP showing superior adaptability in handling more extreme conditions. These experiments confirmed the robustness, efficiency, and stability of the control strategies across a broad spectrum of scenarios. The successful application of these control strategies highlights their potential to significantly enhance the operational reliability and efficiency of spacecraft missions.</p>