DYNAMIC ANALYSIS OF SERIAL ROBOT MANIPULATORS

This paper describes a method to analyze the dynamic performance of serial robot manipulators. The considered measures are the quadratic average of joint torques and the positioning and orientation accuracy of the robot's end-effector. A set of exciting trajectories is designed and optimized along which the robot performance is assessed. The initial points that construct the exciting trajectories are taken from the analysis of the robot workspace. A probabilistic method is adopted to simulate the uncertainty in control factors of robot models. An illustrative example on Unimation Puma 560 robot is provided to demonstrate the proposed approach. Modeling, simulation, and optimization are done in MATLAB ® . The expected outcome is a framework for the dynamic analysis of serial robot manipulators.

[1]  Philip A. Voglewede,et al.  Measuring "closeness" to singularities for parallel manipulators , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[2]  J. Hollerbach Dynamic Scaling of Manipulator Trajectories , 1983, 1983 American Control Conference.

[3]  C. J. Stone,et al.  Introduction to Stochastic Processes , 1972 .

[4]  Jorge Angeles,et al.  Optimum design of manipulators under dynamic isotropy conditions , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[5]  Sébastien Briot,et al.  Analysis of the Dynamic Performance of Serial 3R Orthogonal Manipulators , 2012 .

[6]  Charles P. Neuman,et al.  The inertial characteristics of dynamic robot models , 1985 .

[7]  Tsuneo Yoshikawa,et al.  Manipulability of Robotic Mechanisms , 1985 .

[8]  Oussama Khatib,et al.  Dynamic control of manipulator in operational space , 1983 .

[9]  James B. Rawlings,et al.  Linear programming and model predictive control , 2000 .

[10]  R. K. Mittal,et al.  Optimal design of manipulator parameter using evolutionary optimization techniques , 2009, Robotica.

[11]  Jorge Angeles,et al.  Fundamentals of Robotic Mechanical Systems , 2008 .

[12]  Zhen Wu,et al.  Dynamic dexterity of redundant manipulators , 1995, 1995 IEEE International Conference on Systems, Man and Cybernetics. Intelligent Systems for the 21st Century.

[13]  J. Denavit,et al.  A kinematic notation for lower pair mechanisms based on matrices , 1955 .

[14]  Shugen Ma,et al.  A balancing technique to stabilize local torque optimization solution of redundant manipulators , 1996, J. Field Robotics.

[15]  Jorge Angeles,et al.  Fundamentals of Robotic Mechanical Systems: Theory, Methods, and Algorithms , 1995 .

[16]  Shuzhi Sam Ge,et al.  A unified quadratic-programming-based dynamical system approach to joint torque optimization of physically constrained redundant manipulators , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[17]  Oussama Khatib,et al.  The explicit dynamic model and inertial parameters of the PUMA 560 arm , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[18]  H. Asada,et al.  A Geometrical Representation of Manipulator Dynamics and Its Application to Arm Design , 1983 .

[19]  Claudio Melchiorri,et al.  Trajectory Planning for Automatic Machines and Robots , 2010 .

[20]  Ralph Kennel,et al.  Computationally efficient trajectory optimization for linear control systems with input and state constraints , 2011, Proceedings of the 2011 American Control Conference.

[21]  Bruce H. Krogh,et al.  The acceleration radius: a global performance measure for robotic manipulators , 1988, IEEE J. Robotics Autom..

[22]  R. K. Mittal,et al.  Screening of factors influencing the performance of manipulator using combined array design of experiment approach , 2009 .

[23]  Oussama Khatib,et al.  Inertial Properties in Robotic Manipulation: An Object-Level Framework , 1995, Int. J. Robotics Res..

[24]  Friedrich Pfeiffer,et al.  A concept for manipulator trajectory planning , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[25]  Tsuneo Yoshikawa,et al.  Dynamic Manipulability of Robot Manipulators , 1985 .

[26]  Oussama Khatib,et al.  The dynamic capability equations: a new tool for analyzing robotic manipulator performance , 2005, IEEE Transactions on Robotics.

[27]  S. S. Rao,et al.  Probabilistic approach to manipulator kinematics and dynamics , 2001, Reliab. Eng. Syst. Saf..

[28]  B. Siciliano,et al.  Reformulation of dynamic manipulability ellipsoid for robotic manipulators , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.