Optimum design of planar redundant cable-suspended robots for minimum time trajectory tracking

In this paper, the optimum configuration of superfluous cables in redundant planar cable-suspended robots for minimum time trajectory is investigated. Both cable tensions and cable velocities are assumed to be limited. The bounds on the cable tensions and velocities are transformed into the bounds on the acceleration and velocity along the specified path. Assuming bang-bang control and using genetic algorithm, optimum configuration of superfluous cables and the corresponded switching points are obtained. Moreover, the effect of number of superfluous cables on the minimum time is investigated.