I. Introduction
The robotic manipulator has become a necessary condition for performing specific tasks. With the development of Industry 5.0 [1], they are used in modern industrial processing, intelligent manufacturing and other fields. In the traditional impression, the manipulator works on the fixed base, while the manipulator working on the mobile platform has been widely used, such as vehicle mounted manipulator [2], ship mounted manipulator [3] and so on. The existing achievements mainly deal with the performance and compliance of the end motion of the manipulator directly through torque control. The research on the end motion trajectory of the movable multi-task manipulator needs to be further explored.