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Stability Analysis of a Clock-Driven Rigid-Body SLIP Model for RHex
Oleh:
Altendorfer, Richard
;
Koditschek, Daniel E.
;
Holmes, Philip
Jenis:
Article from Journal - ilmiah internasional
Dalam koleksi:
The International Journal of Robotics Research vol. 23 no. 10-11 (Oct. 2004)
,
page 1001-1012.
Topik:
legged locomotion
;
return map
;
spring loaded inverted pendulum
;
stability
Fulltext:
1001.pdf
(418.28KB)
Isi artikel
We apply the stability analysis for hybrid legged locomotion systems, introduced in our companion paper in this issue, to a new simple clock-driven SLIP model inspired by the robot RHex. We adopt in stance phase the three-degrees-of-freedom (3DoF) spring loaded inverted pendulum (SLIP) model introduced in our companion paper to capture RHex's pitching dynamics in the sagittal plane. The coordinating influence of RHex's open-loop clock controller is subsumed into a leg placement strategy derived from a bipedal abstraction of RHex. The "symmetric" factorization analysis introduced in our companion paper yields a necessary condition for gait stability expressed in closed form, which can be imposed directly on the clock parameter space. This represents the first reported analytical insight into how a dynamical runner might be stabilized by a completely feedforward rhythmic limb coordination pattern. Correspondence in steady-state gait location and stability characteristics with an appropriately tuned 24DoF model of RHex provides numerical evidence that the 3DoF SLIP model offers a descriptive explanation for the robot's empirical running behavior.
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