Time-Optimal Robotic Manipulator Task Planning

A method is presented which finds the minimum time motions for manipulators. The method considers the full nonlinear manipulator dynamics, actuator characteristics, and accounts for obstacles in the work space and restrictions on the motions of the manipulator’s joints. It is computationally practical and has been implemented in a Computer Aided Design (CAD) software package, OPTARM II, which facilitates its use. Examples of its application are presented and show that the technique yields substantial improvements in system performance.

[1]  V. T. Rajan Minimum time trajectory planning , 1985, Proceedings. 1985 IEEE International Conference on Robotics and Automation.

[2]  Bernard Roth,et al.  The Near-Minimum-Time Control Of Open-Loop Articulated Kinematic Chains , 1971 .

[3]  J. Bobrow,et al.  Time-Optimal Control of Robotic Manipulators Along Specified Paths , 1985 .

[4]  I. Faux,et al.  Computational Geometry for Design and Manufacture , 1979 .

[5]  Steven Dubowsky,et al.  Optimal Dynamic Trajectories for Robotic Manipulators , 1985 .

[6]  G. R. Walsh,et al.  Methods Of Optimization , 1976 .

[7]  R. Bronson A modified pattern search , 1980 .

[8]  John M. Hollerbach,et al.  Planning of Minimum- Time Trajectories for Robot Arms , 1986 .

[9]  John M. Hollerbach,et al.  Planning a minimum-time trajectories for robot arms , 1985, Proceedings. 1985 IEEE International Conference on Robotics and Automation.

[10]  S. Dubowsky,et al.  Time optimal robotic manipulator motions and work places for point to point tasks , 1985, 1985 24th IEEE Conference on Decision and Control.

[11]  S. Dubowsky,et al.  On the Optimal Control of Robotic Manipulators with Actuator Constraints , 1983, 1983 American Control Conference.

[12]  Z. Shiller,et al.  On the optimal control of robotic manipulators with actuator and end-effector constraints , 1985, Proceedings. 1985 IEEE International Conference on Robotics and Automation.

[13]  David M. Auslander,et al.  Optimal Control of a Robot with Obstacles , 1984 .