Legged systems are potentially expected to have outstanding mobility. However, they have shown only modest levels of capability to traverse on flat ground. This paper introduces a biped robot inspired by the hind limbs of cats. We present the characteristics of the system and conduct a position analysis based on vector loop equations. Afterwards, the ground clearance and parallel movement of the robotic leg are shown. We present a speed equation in an effort to verify how the major parameters affect the speed. In addition, we explore control strategies for ground speed matching, acceleration, slip, and speed control. A dynamic simulation shows that the biped robot reached 13.31 leg lengths per second (9.3km/h). This biped robot with the speed equation and its control strategies allow us to understand legged locomotion and can show us how to improve the speed.