Robotics: Science and Systems XVI 2020
DOI: 10.15607/rss.2020.xvi.015
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Singularity Maps of Space Robots and their Application to Gradient-based Trajectory Planning

Abstract: We present a numerical method to compute singularity sets in the configuration space of free-floating robots, comparing two different criteria based on formal methods. By exploiting specific properties of free-floating systems and an alternative formulation of the generalized Jacobian, the search space and computational complexity of the algorithm is reduced. It is shown that the resulting singularity maps can be applied in the context of trajectory planning to guarantee feasibility with respect to singularity… Show more

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Cited by 6 publications
(5 citation statements)
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“…The method could be extended with a singularity avoidance [34, p. 38] to limit the occurrence of singularity. In practice, suitably pre-planned trajectories [18,43] are normally employed to limit the occurrence of singularities, and may be employed also in the present case.…”
Section: Discussion Of the Experimental Results And Limitationsmentioning
confidence: 99%
“…The method could be extended with a singularity avoidance [34, p. 38] to limit the occurrence of singularity. In practice, suitably pre-planned trajectories [18,43] are normally employed to limit the occurrence of singularities, and may be employed also in the present case.…”
Section: Discussion Of the Experimental Results And Limitationsmentioning
confidence: 99%
“…A similar approach was presented in Agrawal et al (2009). By making use of the inverted chain formulation (Abiko et al, 2006) and of free-floating robot dynamics properties presented in Cusumano et al (2004), an efficient and complete method for generating singularity maps in the joint space of a 6-DoF freefloating robot is presented in Calzolari et al (2020). Given the location of the singularities, the singularity avoidance can be treated as a collision avoidance problem, to increase the efficiency of the motion planning task in a nonlinear programming setting.…”
Section: Singularity Avoidancementioning
confidence: 99%
“…The external wrench is measurable by an end effector-mounted force torque sensor or by an observer [24], [25]. The singularity of the controller corresponds to the singularities of the generalized Jacobian J * em and can be avoided via trajectory planning [26].…”
Section: A Controller Implementationmentioning
confidence: 99%