2016
DOI: 10.1016/j.ijsolstr.2015.09.018
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Path planning for active tensegrity structures

Abstract: This paper presents a path planning method for actuated tensegrity structures with quasi-static motion. The valid configurations for such structures lay on an equilibrium manifold, which is implicitly defined by a set of kinematic and static constraints. The exploration of this manifold is difficult with standard methods due to the lack of a global parametrization. Thus, this paper proposes the use of techniques with roots in differential geometry to define an atlas, i.e., a set of coordinated local parameteri… Show more

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Cited by 21 publications
(5 citation statements)
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References 54 publications
(65 reference statements)
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“…The bounds for the variation rates of ρ 1 and ρ 2 are chosen as ±10 /s, that is, v 11 ≤ _ ρ 1 ≤ v 12 and v 21 ≤ _ ρ 2 ≤ v 22 , where v 11 = v 21 = −10 /s and v 12 = v 22 = 10 /s. A gridding method 41 is used to convert the infinite-dimensional convex optimization problem in Equation (18) to the following finite-dimensional problem:…”
Section: Closed-loop Control Strategy For System Deploymentmentioning
confidence: 99%
See 1 more Smart Citation
“…The bounds for the variation rates of ρ 1 and ρ 2 are chosen as ±10 /s, that is, v 11 ≤ _ ρ 1 ≤ v 12 and v 21 ≤ _ ρ 2 ≤ v 22 , where v 11 = v 21 = −10 /s and v 12 = v 22 = 10 /s. A gridding method 41 is used to convert the infinite-dimensional convex optimization problem in Equation (18) to the following finite-dimensional problem:…”
Section: Closed-loop Control Strategy For System Deploymentmentioning
confidence: 99%
“…The quasistatic control technique is an effective approach to regulating motions of various systems such as tensegrity structures, [17][18][19] space systems, 20,21 and robotics. 22,23 This open-loop control method aims to drive system dynamics close to a desired equilibrium path/trajectory, and slow system motion is commonly required to reduce oscillations in system responses.…”
mentioning
confidence: 99%
“…Dynamic tensegrity locomotion involves numerous complex factors, such as a varying contact interface with the ground, that complicate the use of model-based control. Sampling-based motion planning, which has been used for quasi-static deformation [9], can also be applied to design kinodynamic paths that demonstrate the aptitude of tensegrities on complex terrain [10]. The open-loop nature of this approach, however, is inevitably fragile to errors, and it is too computationally costly to be re-applied online.…”
Section: A Related Workmentioning
confidence: 99%
“…Koohestani (2015) developed an iterative method for reshaping free standing and restrained tensegrity structures. Porta and Hernández-Juan (2016) proposed a method based on differential geometry for obtaining an equilibrium manifold from the infinitesimal mechanisms. However, there is no literature referring to these methods having been used in real applications.…”
Section: Introductionmentioning
confidence: 99%