Title
Differentially Flat Design Of Bipeds Ensuring Limit-Cycles
Abstract
In bipedal walking, a trajectory is acceptable as long as it is repetitive and allows the foot to clear the ground, while allowing the biped to move forward. Since the actual trajectory followed by a biped is not as important, a biped having more than one passive joints can also meet the motion requirements. Due to physical constraints, a biped is under-actuated at the ground contact with the feet. A biped should exhibit limit cycles when moving continuously in an environment. In general, it is difficult to prove existence of limit cycles for nonlinear systems. In this work, we generate limit cycles for a class of nonlinear under-actuated bipeds using differential flatness. A specific inertia distribution renders the biped design differentially flat. Differential Flatness allows generation of a family of limit cycles amenable to numerical optimization. The results are illustrated by two DOF biped.
Year
DOI
Venue
2007
10.1109/ROBOT.2007.364027
PROCEEDINGS OF THE 2007 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION, VOLS 1-10
Keywords
Field
DocType
nonlinear system,mechanical systems,leg,control systems,limit cycle,foot,robots,nonlinear systems,gravity,motion control,actuators
Motion control,Nonlinear system,Control theory,Control engineering,Control system,Inertia,Underactuation,Trajectory,Mathematics,Mechanical system,Actuator
Conference
Volume
Issue
ISSN
2007
1
1050-4729
Citations 
PageRank 
References 
4
0.53
6
Authors
2
Name
Order
Citations
PageRank
Vivek Sangwan1133.68
Sunil Kumar Agrawal229957.97