1984
DOI: 10.1016/0005-1098(84)90099-2
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Control method of biped locomotion giving asymptotic stability of trajectory

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Cited by 126 publications
(12 citation statements)
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“…This approach has been used successfully to generate movement of ®sh (Ekeberg 1993), bipeds (Taga 1995a,b), and multi-legged insects (Kimura et al 1993). In robotics, the oscillating unit has been modeled by a set of coupled van der Pol's equations to produce walking cycles for bipeds (Katoh and Mori 1984;Bay and Hemami 1987;Jalics et al 1997) and quadrupeds (Berkemeier 1995). The oscillating units, or central pattern generators (CPGs), might be thought of as an indispensable component for the existence of limit cycle behavior.…”
Section: Introductionmentioning
confidence: 99%
“…This approach has been used successfully to generate movement of ®sh (Ekeberg 1993), bipeds (Taga 1995a,b), and multi-legged insects (Kimura et al 1993). In robotics, the oscillating unit has been modeled by a set of coupled van der Pol's equations to produce walking cycles for bipeds (Katoh and Mori 1984;Bay and Hemami 1987;Jalics et al 1997) and quadrupeds (Berkemeier 1995). The oscillating units, or central pattern generators (CPGs), might be thought of as an indispensable component for the existence of limit cycle behavior.…”
Section: Introductionmentioning
confidence: 99%
“…It has been modelled as a system of neural oscillators, such as Ellias-Grossberg oscillator [15], Matsuoka oscillator [16], RIO [17], van der Pol oscillator [18]. These CPG models can not only generate robust, sustained oscillation that are necessary for many human body's movements, such as chewing, locomotion, heart beats, breathing, but also be modulated to induce gait transition or variations smoothly [19].…”
Section: Introductionmentioning
confidence: 99%
“…f (ζ) = 1 from Eq. (8) and this controller also coincides with the best COM-ZMP regulator in the same way as the longitudinal direction.…”
Section: Introductionmentioning
confidence: 57%