Redundancy Resolution by Minimization of JointDisturbance Torque for Independent Joint Controlled Kinematically Redundant Manipulators

Majority of industrial robots are controlled by a simple independent joint control of joint actuators rather than complex controllers based on the nonlinear dynamic model of the robot manipulator. In this independent joint control scheme, the performance of actuator control is influenced significantly by the joint disturbance torques including gravity, Coriolis and centrifugal torques, which result in the trajectory tracking error in the joint control system. The control performance of a redundant manipulator under independent joint control can be improved by minimizing this joint disturbance torque in resolving the kinematic redundancy. A 3 DOF planar robot is studied as an example, and the dynamic programming method is used to find the globally optimal joint trajectory that minimize the joint disturbance torque over the entire motion. The resulting solution is compared with the solution obtained by the conventional joint torque minimization, and it is shown that joint disturbance can be reduced using the kinematic redundancy.

[1]  E. Freund Fast Nonlinear Control with Arbitrary Pole-Placement for Industrial Robots and Manipulators , 1982 .

[2]  J. Y. S. Luh,et al.  Resolved-acceleration control of mechanical manipulators , 1980 .

[3]  Kyeonah Yu Planning of Compliant Motions for Fixture Loading , 2000 .

[4]  John M. Hollerbach,et al.  Redundancy resolution of manipulators through torque optimization , 1985, Proceedings. 1985 IEEE International Conference on Robotics and Automation.

[5]  Tien C. Hsia,et al.  Adaptive control of robot manipulators - A review , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[6]  Myoung Hwan Choi,et al.  A formulation of joint disturbance torque and its application for independent joint controlled robotic manipulators , 1998, SMC'98 Conference Proceedings. 1998 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.98CH36218).

[7]  Donald E. Kirk,et al.  Optimal control theory : an introduction , 1970 .

[8]  Richard P. Paul,et al.  Robotics research : the First International Symposium , 1984 .

[9]  C. S. G. Lee,et al.  Robotics: Control, Sensing, Vision, and Intelligence , 1987 .

[10]  Yong-San Yoon,et al.  Global Torque Optimization of Redundent Manipulator Using Dynamic Programming , 1997 .

[11]  Zhaoyu Wang,et al.  Global versus Local Optimization in Redundancy Resolution of Robotic Manipulators , 1988, Int. J. Robotics Res..

[12]  Tsuneo Yoshikawa,et al.  Analysis and Control of Robot Manipulators with Redundancy , 1983 .

[13]  Steven Dubowsky,et al.  The application of model-referenced adaptive control to robotic manipulators , 1979 .

[14]  Daniel E. Whitney,et al.  Resolved Motion Rate Control of Manipulators and Human Prostheses , 1969 .