Power Quality (PQ) characteristics, such as Power Factor, Total Harmonic Distortion (THD), and ideal output regulation, are the main elements that have a considerable impact on the effective operation of power electronic converters. The uncontrolled diode bridge rectifier in this investigation is shown to have pulsing input current. However, this problem may be solved by implementing a powerful active wave shaping control mechanism. The THD requirements can be satisfied, and the power factor (PF) can be enhanced to go closer to unity. It also controls the voltage that is generated. The control system under discussion has a cascade architecture, with a fractional-order PID controller that has been optimized using the Antlion Optimization (ALO) algorithm making up the outer loop of the system. This controller modifies the amplitude of the reference current for the inductor based on the output voltage. Contrarily, the inner loop uses a Lyapunov-based Backstepping Control (BSC) technique to guarantee that the system's asymptotic stability and convergence. Additionally, the suggested system does not need a precise mathematical model since the Black-box approach is used. This method results in a less computing burden, a more straightforward implementation, and less dependency on the model's states. The suggested strategy makes use of a cascade controller to provide enough performance and results in preserving power quality. As a consequence, the simulation results analysis shows the significant robustness and rapid dynamics seen in a variety of complicated circumstances.