Abstract
The paper formulates the inverse kinematic problem for the robotic manipulator with six degrees of freedom. For the solution if this problem, the geometric method combined with the Denavit–Hartenberg transformation was applied. The Denavit–Hartenberg method offers the advantage of reducing the number of coordinates that determine the special position of the solid body from six to four. This method provides for an accurate positioning of the working tool. The inverse kinematic problem was solved. This problem aims at calculating the rotating angle of each axis. The geometric solution of the problems for each of the axes is presented. Based on the calculation data, the algorithm of determining the rotating angles of the robotic manipulator was developed. This algorithm was implemented in the Matlab environment. The control flow chart of the algorithm is presented and its operation is described. The paper offers an example of solving the inverse kinematic problem using the developed algorithm. The calculation results were verified and shown to be consistent with the preset position, which confirms the adequacy of the developed model.
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