Title
The Reaction Mass Biped: Equations of motion, hybrid model for walking and trajectory tracking control
Abstract
Pendulum models have been studied as benchmark problems for development of nonlinear control schemes, as well as reduced-order models for the dynamics analysis of locomotion of humanoid robots. This work provides a generalization of the previously introduced Reaction Mass Pendulum (RMP), which is a multibody inverted pendulum model, to a bipedal model that can better model bipedal locomotion. The RMP consists of an extensible “leg” and a “body” with moving proof masses that give rise to a variable rotational inertia. The Reaction Mass Biped (RMB) introduced here has two legs, one of which takes the role of a stance leg and the other performs as a swing leg during bipedal locomotion. The bipedal walking dynamics model of the RMB is therefore hybrid, with the roles of stance leg and swing leg interchanged after each cycle. The dynamics model is developed using a variational mechanics approach, without using generalized coordinates for the rotational degrees of freedom. This dynamics model has thirteen degrees of freedom, all of which are considered to be actuated in the control design. A set of desired state trajectories that can enable bipedal walking in straight and curved lines are generated. A control scheme is then designed for asymptotically stable tracking of this set of trajectories with an almost global domain of attraction. Numerical simulation results confirm the stability of this tracking control scheme for different walking trajectories of the RMB.
Year
DOI
Venue
2015
10.1109/ICRA.2015.7140003
IEEE International Conference on Robotics and Automation
Keywords
Field
DocType
asymptotic stability,control system synthesis,legged locomotion,nonlinear control systems,reduced order systems,robot dynamics,trajectory control,RMB,RMP,asymptotic stability tracking,bipedal locomotion model,control design,curved lines,equation of motion,humanoid robot locomotion dynamics analysis,hybrid bipedal walking dynamics model,moving proof masses,multibody inverted pendulum model,nonlinear control schemes,numerical simulation,pendulum models,reaction mass biped model,reaction mass pendulum,reduced-order models,rotational degrees of freedom,stance leg,state trajectory,straight lines,swing leg,trajectory tracking control scheme,variable rotational inertia,variational mechanics approach,walking control
Moment of inertia,Inverted pendulum,Nonlinear control,Control theory,Control engineering,Equations of motion,Generalized coordinates,Pendulum,Trajectory,Humanoid robot,Physics
Conference
Volume
Issue
ISSN
2015
1
1050-4729
Citations 
PageRank 
References 
1
0.37
10
Authors
2
Name
Order
Citations
PageRank
Koushil Sreenath135833.41
Amit K. Sanyal215427.99