Effect of Sampling Rates on the Performance of Model-Based Control Schemes

In our previous research, we experimentally implemented and evaluated the effect of dynamics compensation in model-based control algorithms. In this paper, we evaluate the effect of changing the control sampling period on the performance of the computed-torque and independent joint control schemes. While the former utilizes the complete dynamics model of the manipulator, the latter assumes a decoupled and linear model of the manipulator dynamics. We discuss the design of controller gains for both the computed- torque and the independent joint control schemes and establish a framework for comparing their trajectory tracking performance. Our experiments show that within each scheme the trajectory tracking accuracy varies slightly with the change of the sampling rate. However, at low sampling rates the computed-torque scheme outperforms the independent joint control scheme.

[1]  Vassilios D. Tourassis,et al.  Computer control of robotic manipulators using predictors , 1989, J. Intell. Robotic Syst..

[2]  Christopher G. Atkeson,et al.  Experimental determination of the effect of feedforward control on trajectory tracking errors , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[3]  Homayoun Seraji.  Linear multivariable control of robot manipulators , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[4]  Jeann-Jacques E. Slotine,et al.  Adaptive trajectory control of manipulators , 1989 .

[5]  Pradeep K. Khosla,et al.  Computational requirements of customized Newton-Euler algorithms , 1985, J. Field Robotics.

[6]  Takeo Kanade,et al.  Development of CMU Direct-Drive Arm II , 1985, 1985 American Control Conference.

[7]  John M. Hollerbach,et al.  Wrist-partitioned inverse kinematic accelerations and manipulator dynamics , 1984, ICRA.

[8]  Takeo Kanade,et al.  Parameter identification of robot dynamics , 1985, 1985 24th IEEE Conference on Decision and Control.

[9]  R. Middleton.  Hybrid adaptive control for robot manipulators , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[10]  Karl Johan Åström,et al.  Computer-Controlled Systems: Theory and Design , 1984 .

[11]  Jean-Jacques E. Slotine,et al.  Adaptive sliding controller synthesis for non-linear systems , 1986 .

[12]  Tsuneo Yoshikawa,et al.  Multivariable Control of Robot Manipulators , 1983 .

[13]  G. E. Taylor,et al.  Computer Controlled Systems: Theory and Design , 1985 .

[14]  Takeo Kanade,et al.  Experimental Evaluation of the Feedforward Compensation and Computed-Torque Control Schemes , 1986, 1986 American Control Conference.

[15]  M. Raibert.  Analytical equations vs. table look-up for manipulation: A unifying concept , 1977, 1977 IEEE Conference on Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications.

[16]  Takeo Kanade,et al.  Design of Direct-Drive Mechanical Arms' , 1983 .

[17]  M. Leahy,et al.  The effects of dynamic models on robot control , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[18]  C. S. George Lee,et al.  Adaptive control for robot manipulators in joint and cartesian coordinates , 1984, ICRA.

[19]  Suguru Arimoto,et al.  An adaptive trajectory control of manipulators , 1981 .

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

[21]  Yutaka Yasuda.  On the synthesis of model-following two-dimensional digital systems , 1981 .

[22]  A. Bejczy.  Robot arm dynamics and control , 1974 .

[23]  Takeo Kanade,et al.  Real-time control of CMU direct-drive arm II using customized inverse dynamics , 1984, The 23rd IEEE Conference on Decision and Control.

[24]  Takeo Kanade,et al.  Real-time implementation and evaluation of model-based controls on CMU DD Arm II , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[25]  Pradeep K. Khosla,et al.  Estimation of Robot Dynamics Parameters: Theory and Application , 1987 .

[26]  B. R. Markiewicz,et al.  Analysis of the computed torque drive method and comparison with conventional position servo for a computer-controlled manipulator , 1973 .