## Abstract

In this paper, we propose an algorithm to determine sub-optimal paths and trajectories for cooperative multiple manipulators which hold an object and transfer it from a given start point to a given goal point. The dynamic equations of manipulators and the object are expressed by a path parameter's which is the length along the path and does not depend on the time 't' explicitly. Using this parameter 's', we express the position of the center of gravity and the attitude of the object as p(s) and φ(s), respectively. And the joint path θ_{i} of the i-th manipulator is also expressed by this parameter 's' and written as θ_{i}(s). A quality λ(s) which connects the time 't' and the path parameter 's' is introduced. θ_{i}(s) and λ(s) are approximated by B-spline. Sub-optimal θ_{i}(s) and λ(s) are determined by considering the boundary conditions of both end points and the driving torque/force constraint of each joint of each manipulator. The proposed algorithm is applied to a two-manipulator system. Numerical results show the effectiveness of the algorithm.

Original language | English |
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Pages (from-to) | 898-903 |

Number of pages | 6 |

Journal | Proceedings of the IEEE International Conference on Systems, Man and Cybernetics |

Volume | 1 |

Publication status | Published - 1995 |

Event | Proceedings of the 1995 IEEE International Conference on Systems, Man and Cybernetics. Part 2 (of 5) - Vancouver, BC, Can Duration: Oct 22 1995 → Oct 25 1995 |

## All Science Journal Classification (ASJC) codes

- Control and Systems Engineering
- Hardware and Architecture