Optimal Trajectory Planning under Kino-dynamics Constraints for a 6-DOF PUMA 560
Proceedings of the The International Conference on Engineering & MIS 2015 - ICEMIS '15, 2015
We present in this paper an effective method to deal with the problem of the trajectories plannin... more We present in this paper an effective method to deal with the problem of the trajectories planning in time-efforts quadratic optimal of the robots manipulators in the point to point tasks. The technique suggested in this work, consists at the beginning to standardizing the time scale then to break up the trajectory into two functions which are modelled by Cubic Splines (Natural and Clamped) according to the properties of each function. Finally, the problem of optimization is solved by using the Genetic Algorithms to find the optimal trajectory. An algorithm is developed which makes it possible to minimize a function objective which represents a weighting between the transfer time and the efforts of the actuators, with the satisfaction of the geometrical, kinematics and dynamic constraints. Results on a robot PUMA560 6R are presented to illustrate the effectiveness of this technique.
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Papers by BENDALI Nadir
constraints of robot manipulators in pick-and-place operations is described in
this paper. In order to ensure that the resulting trajectory is smooth enough, a
cost function containing a term proportional to the integral of the squared
jerk (defined as the derivative of the acceleration) along the trajectory is
considered. Moreover, a second term, proportional to the total execution
time, is added to the expression of the cost function. A Cubic Spline
functions are then used to compose overall trajectory. This method makes it
possible to deal with the kinematic constraints as well as the dynamic
constraints imposed on the robot manipulator. The algorithm has been tested
in simulation yielding good results.