This paper investigates the enhanced performance of a lighter-than-air aerial drone through a comprehensive analysis of dynamic modeling, propulsion system dynamics, and the implementation of an LQR-based control system. The dynamic modeling section presents a thorough examination of the drone's equations of motion, considering aerodynamic and buoyancy forces to accurately capture its behavior in various operational scenarios. The propulsion system analysis focuses on modeling techniques for the chosen propulsion system, identifying key parameters affecting its efficiency. The integration of an LQR-based control system is explored, highlighting the principles and benefits associated with its application in the context of aerial drones. Through simulation and analysis, the paper provides insights into the synergistic effects of dynamic modeling, propulsion system characteristics, and LQR-based control on the overall performance of the lighter-than-air drone. The results contribute valuable information for optimizing design considerations and operational capabilities, emphasizing the significance of this integrated approach in advancing the capabilities of aerial drone technology.