Generation of energy efficient trajectories for NIMS3D, a three-dimensional cabled robot

In this paper we describe an algorithm to generate energy efficient trajectories for NIMS3D, a three-dimensional cabled robotic platform. Optimized parabolic paths are used to exploit the relatively low I2R loss associated with operation in lower regions of the workspace. Trajectory optimization is sufficiently fast to enable real time operation. Experimental results on a physical system for a three cable deployment show substantial reductions in energy consumption as compared to linear trajectories.

[1]  Todd Graham,et al.  On the inverse kinematics, statics, and fault tolerance of cable-suspended robots , 1998, J. Field Robotics.

[2]  Wei-Jung Shiang,et al.  Dynamic analysis of the cable array robotic crane , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[3]  Maxim A. Batalin,et al.  NIMS3D: A Novel Rapidly Deployable Robot for 3-Dimensional Applications , 2006, 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[4]  Robert L. Williams,et al.  A Concept for Rapidly-Deployable Cable Robot Search and Rescue Systems , 2005 .

[5]  G. Dantzig,et al.  Notes on Linear Programming: Part 1. The Generalized Simplex Method for Minimizing a Linear Form under Linear Inequality Restraints , 1954 .

[6]  T. Coleman,et al.  On the Convergence of Reflective Newton Methods for Large-scale Nonlinear Minimization Subject to Bounds , 1992 .

[7]  Guilin Yang,et al.  Dynamic analysis of cable-driven parallel mechanisms , 2005, Proceedings, 2005 IEEE/ASME International Conference on Advanced Intelligent Mechatronics..

[8]  F. Bekes,et al.  Motion control of a tendon-based parallel manipulator using optimal tension distribution , 2004, IEEE/ASME Transactions on Mechatronics.

[9]  Thomas F. Coleman,et al.  An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds , 1993, SIAM J. Optim..

[10]  Peter I. Corke,et al.  Air Vehicle Simulator: an Application for a Cable Array Robot , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[11]  Bodo Heimann,et al.  Adapted Time-Optimal Trajectory Planning for Parallel Manipulators with Full Dynamic Modelling , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[12]  Wei-Jung Shiang,et al.  Optimal force distribution applied to a robotic crane with flexible cables , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[13]  M. Hiller,et al.  Design, analysis and realization of tendon-based parallel manipulators. , 2005 .

[14]  Thomas F. Coleman,et al.  On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds , 1994, Math. Program..