Special relevance is given to achieve passenger comfort in ground vehicles, and the suspension system is a key element involved in this objective. The contribution of this research is the modeling of a quarter vehicle as a 7-DOF system composed of a 4-DOF biodynamic model and a 3-DOF one-quarter of vehicle (QoV) suspension model. Moreover, a skyhook control strategy is being developed with the purpose of improving passenger comfort. Performance indices in the frequency domain are applied to validate comfort for the passenger and road holding. The theoretical work in this research is supported by simulation work, in which numerical values were taken from experimental work. The herein reported results hold importance for the advancement of suspension studies and set precedence for work on similar systems with other control strategies towards half and full vehicle suspensions.