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This paper addresses a three-dimensional biped dynamic walking control based on Passive Dynamic Autonomous Control (PDAC). In our previous work, the robot dynamics is modeled as a two-dimensional autonomous system of a three-dimensional inverted pendulum by applying the PDAC concept. In addition, the convergence algorithm based on conservative quantities named ??PDAC constant?? was proposed, so that...
This paper proposes a 3-D biped dynamic walking algorithm based on passive dynamic autonomous control (PDAC). The robot dynamics is modeled as an autonomous system of a 3-D inverted pendulum by applying the PDAC concept that is based on the assumption of point contact of the robot foot and the virtual constraint as to robot joints. Due to autonomy, there are two conservative quantities named ldquoPDAC...
Exact analysis of step discontinuity of 3-D optical waveguide is important for exact design of optical integrated circuit. Mode theory is introduced to derive the equivalent network in lateral direction and that in waveguide direction. The former is used to calculate waveguide propagation mode, which leads to the equivalent network along waveguide direction. The latter is used for field analysis of...
As one of dynamics-based control of biped walking, some researchers presented the control method to take advantage of robot dynamics directly by use of point-contact state between a robot and the ground. We proposed passive dynamic autonomous control (PDAC) previously (2004) as one of point-contact methods. PDAC expresses the robot dynamics as a 1-dimensional autonomous system based on the two concepts:...
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