“…In this paper, following the comparative experiments performed by Wang et al [4], trajectory planning was carried out by using the sixth-order polynomial interpolation method and the excavation process of the MRS was divided into x direction and y direction motion, as shown in Figure 8. The design variables were determined as x = [a x0 , a x1 , a x2 , a x3 , a x4 , a x5 , a x6 , a y0 , a y1 , a y2 , a y3 ,a y4 , a y5 , a y6 ] and the excavation trajectory of the MRS can be represented as The intersection point of the material surface and the horizontal plane, which is the initial position of the bucket tooth tip, was set as the excavation starting point (0,0).…”