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Identification of Balanced State Domain for Single-Support Legged Mechanism

[+] Author Affiliations
Joo H. Kim, Chang B. Joo

Polytechnic Institute of New York University (NYU-Poly), Brooklyn, NY

Paper No. DSCC2011-6179, pp. 231-237; 7 pages
  • ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control
  • ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control, Volume 1
  • Arlington, Virginia, USA, October 31–November 2, 2011
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 978-0-7918-5475-4
  • Copyright © 2011 by ASME


Balancing is one of the most important issues of biped mechanism. In this presentation, an enhanced definition of a balanced state is proposed and the balanced state manifold for single-support legged mechanism is calculated by using constrained optimization method. The algorithm iteratively solves for the maximum and minimum velocities for a set of joint variables and actuation capacities. In addition to the system parameters, the necessary and sufficient conditions for balancing, such as the Zero-Moment Point, positive normal reaction force, friction, and final static equilibrium, are implemented as constraints. The calculated balanced state manifold can be used as general balance criteria for the single-support legged mechanism. The proposed framework can also be extended to form the balanced state manifold of systems with higher complexity.

Copyright © 2011 by ASME
Topics: Mechanisms



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