2020
DOI: 10.1109/tro.2019.2923971
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Capturability-Based Pattern Generation for Walking With Variable Height

Abstract: Capturability analysis of the linear inverted pendulum (LIP) model enabled walking with constrained height based on the capture point. We generalize this analysis to the variableheight inverted pendulum (VHIP) and show how it enables 3D walking over uneven terrains based on capture inputs. Thanks to a tailored optimization scheme, we can compute these inputs fast enough for real-time model predictive control. We implement this approach as open-source software and demonstrate it in dynamic simulations.

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Cited by 53 publications
(63 citation statements)
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“…[29][30][31] address the balance control of humanoid robot using VHIP model for planar motions. [32] further extends it to consider 3D movements, and develops an analytical tool to determine capturability in the VHIP model. [9] proposes an efficient analytical tool to compute zero-step capturability for multi-contact configuration using a centroidal dynamics model.…”
Section: Related Workmentioning
confidence: 99%
“…[29][30][31] address the balance control of humanoid robot using VHIP model for planar motions. [32] further extends it to consider 3D movements, and develops an analytical tool to determine capturability in the VHIP model. [9] proposes an efficient analytical tool to compute zero-step capturability for multi-contact configuration using a centroidal dynamics model.…”
Section: Related Workmentioning
confidence: 99%
“…We consider varying the height of the VRP. In that case, it is proposed in [14], [15] to vary λ accordingly so that (6) and (7) always hold, but this results in a nonlinear problem. We propose instead to keep λ constant.…”
Section: Com and Cop Trajectories For Walking On A Piecewise Horimentioning
confidence: 99%
“…It is formulated as a linear problem which can be solved very efficiently with off-the-shelf solvers, by bounding nonlinearities conservatively (making sure to maintain kinematic and dynamic feasibility) in a very effective way: the CoM and Center of Pressure (CoP) trajectories obtained with this approach have been observed to be only a few millimeters away from the true optimum [13]. Comparable schemes typically consider predefined vertical motion [14] or predefined step placement [15] and don't provide complete kinematic and dynamic feasibility guarantees [7], which are all significant limitations.…”
Section: Introductionmentioning
confidence: 99%
“…Reduced models have been applied in balance and locomotion robotics [6,12,22] to derive critical properties such as capturability. Capturability is the ability of the model to keep balance from a given state and steer towards stable equilibrium configurations [4,7,16,26,30]. Capturability cannot be computed with full avatar body dynamics in the present state of art, as it would require nonlinear receding-horizon computations running in real time, but it is tractable within reduced models.…”
Section: Inverted Pendulum Modelmentioning
confidence: 99%
“…Lower-body motions of the avatar are reconstructed in accordance with the upper body. This reconstruction is based on a capturability-based locomotion control [4] that relies on the Inverted Pendulum Model (Section 2. The animation of the avatar is described in Section 3.…”
Section: Introduction Virtual Humans (Vh)mentioning
confidence: 99%