Simulation and Experimental Validation of Novel Trajectory Planning Strategy to Reduce Vibrations and Improve Productivity of Robotic Manipulator

This paper aims at investigating vibrational behaviors of the industrial manipulator Racer 7-1.4, designed and manufactured by COMAU S.p.A., with the target of new trajectory planning strategies to improve productivity rate without any loss of positioning accuracy. Starting from the analysis of a 9DoF multi-body system with lumped parameter, the first natural frequency of the robot was calculated in seven reference positions. Then, static and dynamic simulations were run by applying saturated ramp input and large motions to analyze the vibrational behavior of the manipulator. This research underlines that the optimal way to design the robot move is to set its duration at twice a period of free oscillation according to the first vibrational mode. Due to strong analogy of dynamic response of both 1DoF and 9DoF robot models, the closed-form solution of the 1DoF undamped system—featured by natural frequency equal to the first frequency of the 9DoF system—may be successfully adopted by the real-time trajectory planning process to predict residual vibration at move end-condition. This strategy was confirmed by experimental tests, allowing either residual vibration decrease and execution time reduction as well.

[1]  Vigen Arakelian,et al.  Torque minimisation of the 2-DOF serial manipulators based on minimum energy consideration and optimum mass redistribution , 2011 .

[2]  Khelifa Baizid,et al.  Time scheduling and optimization of industrial robotized tasks based on genetic algorithms , 2015 .

[3]  Raul Ordonez,et al.  A fast converging optimal technique applied to path planning of hyper-redundant manipulators , 2017 .

[4]  Yuxin Su,et al.  Global continuous finite‐time tracking of robot manipulators , 2009 .

[5]  Shuzhi Sam Ge,et al.  An Adaptive Backstepping Nonsingular Fast Terminal Sliding Mode Control for Robust Fault Tolerant Control of Robot Manipulators , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[6]  Antonio Bicchi,et al.  Shortest Paths for a Robot With Nonholonomic and Field-of-View Constraints , 2010, IEEE Transactions on Robotics.

[7]  R. Saravanan,et al.  Multi-objective dynamic optimal trajectory planning of robot manipulators in the presence of obstacles , 2009 .

[8]  Paolo Mercorelli,et al.  Robust approximate fixed-time tracking control for uncertain robot manipulators , 2020 .

[9]  Nikos A. Aspragathos,et al.  Task scheduling and motion planning for an industrial manipulator , 2013 .

[10]  Kaiyuan Wu,et al.  Optimal time-jerk trajectory planning for industrial robots , 2018 .

[11]  A. Gasparetto,et al.  A technique for time-jerk optimal planning of robot trajectories , 2008 .

[12]  Shiqiang Zhu Time-optimal and Jerk-continuous Trajectory Planning Algorithm for Manipulators , 2010 .

[13]  Sung-Rak Kim,et al.  A practical approach for minimum-time trajectory planning for industrial robots , 2010, Ind. Robot.

[14]  Peter Eberhard,et al.  DYNAMIC ANALYSIS OF FLEXIBLE MANIPULATORS, A LITERATURE REVIEW , 2006 .

[15]  Vicente Mata,et al.  Evolutionary indirect approach to solving trajectory planning problem for industrial robots operating in workspaces with obstacles , 2013 .