The parametric study of model-based dynamic control methods holds significant importance in biped robot motion control. This research delves into a detailed examination of the parameters of model-based dynamic control methods, specifically the Hybrid Zero Dynamics (HZD) and Proportional-Derivative (PD) feedback control methods, to enhance the locomotion of underactuated biped robots. A three-link underactuated biped robot without a knee joint with three degrees of freedom is used as a case study, and the dynamic equations for this model are extracted in continuous and impact phases. Robot simulations are executed in MATLAB software by comparing and analyzing the control parameters in the two mentioned methods, and the results are compared and discussed. Furthermore, the effect of variations in control parameters in the Proportional-Derivative feedback control method is evaluated and compared. The results indicate that the Hybrid Zero Dynamics method generates more symmetrical and uniformly paced movements than the Proportional-Derivative feedback control method, with lower control effort. Increasing the control parameters in the Proportional-derived feedback control method brings its results closer to those of the hybrid zero dynamics method, accompanied by a reduction in control effort. In addition to presenting results, this study meticulously examines and analyzes control parameters, which can enhance bipedal robot performance.