An efficient motion planning of flexible manipulator along specified path

Motion planning under fixed travelling time between start and goal point along a specified path is considered in this study. The structure between the actuator and the end point of the robot arm is assumed flexible and is the main cause of positioning error because of residual vibration. An algorithm is developed to generate motion of the manipulator arm along the specified path that significantly reduces the residual vibration, at the goal point configuration. The problem also considers the full nonlinear dynamics of the manipulator arm. The dynamics are described by finite element method using Lagrange's equation and are expressed by the time scale factor. The performance index is optimized successfully through off-line computation for a two link flexible manipulator, one example of which is described in detail.

[1]  J. Junkins,et al.  Optimal Large-Angle Single-Axis Rotational Maneuvers of Flexible Spacecraft , 1980 .

[2]  Wayne J. Book,et al.  Experiments in optimal control of a flexible arm , 1985 .

[3]  Motoji Yamamoto,et al.  Sub-optimal trajectory planning of flexible manipulator along specified path , 1997, Proceedings of the 1997 IEEE/RSJ International Conference on Intelligent Robot and Systems. Innovative Robotics for Real-World Applications. IROS '97.

[4]  S. Choura,et al.  On the finite settling time and residual vibration control of flexible structures , 1991 .

[5]  P. H. Meckl,et al.  Minimizing Residual Vibration for Point-to-Point Motion , 1985 .

[6]  A. Akay,et al.  Vibration reduction of a flexible arm by time-optimal open-loop control , 1991 .

[7]  Motoji Yamamoto,et al.  Significance of spline curve in path planning of flexible manipulator , 1997, Proceedings of International Conference on Robotics and Automation.

[8]  Youn-Sik Park,et al.  Fourier-based optimal design of a flexible manipulator path to reduce residual vibration of the endpoint , 1993, Robotica.

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

[10]  Yasuo Tokita,et al.  On the Vibration Reduction , 1978 .

[11]  Ashitava Ghosal,et al.  Comparison of the Assumed Modes and Finite Element Models for Flexible Multilink Manipulators , 1995, Int. J. Robotics Res..

[12]  R. Nadira,et al.  A Finite Element/Lagrange Approach to Modeling Lightweight Flexible Manipulators , 1986 .