Closed loop shaped-input control of a class of manipulators with a single flexible link

A composite control strategy is outlined for a large class of multilink manipulators with one flexible link. The controller design is based on the inverse dynamics of the rigid manipulator and the use of a closed-loop shaped-input filter to reduce or eliminate the vibrations of the flexible link and to reject external disturbances. Both simulation and experimental results confirm the effectiveness of this design strategy. The design algorithm is a linear one, but the simulation results show that it is robust enough to compensate for vibrations in the full nonlinear system.<<ETX>>

[1]  M. Vidyasagar,et al.  Control of a single-link flexible beam using a Hankel-norm-based reduced order model , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[2]  Wayne J. Book,et al.  Modeling, design, and control of flexible manipulator arms: a tutorial review , 1990, 29th IEEE Conference on Decision and Control.

[3]  Mathukumalli Vidyasagar,et al.  Observer-controller stabilization of a class of manipulators with a single flexible link , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[4]  Stephen Yurkovich,et al.  Vibration control of a two-link flexible robot arm , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[5]  Warren P. Seering,et al.  Preshaping Command Inputs to Reduce System Vibration , 1990 .

[6]  L. Meirovitch Analytical Methods in Vibrations , 1967 .

[7]  Mark W. Spong,et al.  Robot dynamics and control , 1989 .

[8]  Mathukumalli Vidyasagar,et al.  Control of a Class of Manipulators With a Single Flexible Link: Part II—Observer-Controller Stabilization , 1991 .

[9]  Neil C. Singer,et al.  Residual Vibration Reduction in Computer controlled Machines , 1989 .

[10]  Mathukumalli Vidyasagar,et al.  Passive control of a single flexible link , 1990, Proceedings., IEEE International Conference on Robotics and Automation.