Dynamical Feedback Algorithm for Calculating the Moving Position of Bench Dragon' s Path

The paper considers the problem of determining the position of each handle as the bench dragon coils along the spiral. First, the quantitative searching range of the corresponding polar angle of the handle is given according to the traveling path characteristics of each handle coiled in, offering the initial value for the proposed algorithm. Then, a dynamical feedback algorithm for calculating the position of the latter handle is proposed, which avoids the multi-solution problem of solving nonlinear equations. Furthermore, to promote the computational efficiency, the design of iterative parameters based on varying polar angles is discussed. In the simulation environment, the effectiveness of the proposed dynamical feedback algorithm is illustrated.