Stable control of robotic manipulator with collision phenomena

A methodology using the Lyapunov direct method is proposed to analyze the stability of a 1-DOF (degree-of-freedom) manipulator system which is positioned against a deformable wall with collision phenomena. The stability and response of the system are examined by parameter studies of extensive numerical simulations. A Herz-type model with an energy loss parameter was adopted to express the impact force between the manipulator and the wall. Using this model, the stabilization effect of collision was demonstrated using a nonlinear Lyapunov function. The effect is confirmed by the simulation. Therefore, stable positioning of the manipulator against the deformable wall is possible.<<ETX>>

[1]  Toshio Fukuda,et al.  Adaptive force control of manipulators with consideration of object dynamics , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[2]  Jay Kahng,et al.  Impact force analysis in mechanical hand design , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[3]  Kamal Youcef-Toumi,et al.  Impact and force control , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[4]  T. Fujita,et al.  Periodic Vibration and Impact Characteristics of a Nonlinear System with Collision , 1980 .

[5]  Toshio Fukuda,et al.  Bilateral Remote Control with Dynamics Reflection , 1987 .

[6]  Toshio Fukuda,et al.  Flexible handling by gripper with consideration of characteristics of objects , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[7]  Neville Hogan,et al.  An analysis of contact instability in terms of passive physical equivalents , 1989, Proceedings, 1989 International Conference on Robotics and Automation.