The crawl motion of a quadruped walking robot is considered as the combination of two forms. One results from a parallel manipulator composed of the standing legs and robot's body, and the another is the swing leg's movement. The walk conditions satisfied with the constraint of robot's mechanical structure are derived and the closed-form direct kinematics solution of a quadruped robot is presented. It is shown that the direct kinematics of the robot involves solving a sixteenth-degree polynomial of a single variable. A numerical example is also presented and the results are verified by an inverse kinematics analysis. The approach can be used to derive the kinematics of the other gaits for quadruped robots.
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