Switching max-plus models for legged locomotion

  • Authors:
  • G. A. D. Lopes;R. Babuška;B. De Schutter;A. J. J. Van Den Boom

  • Affiliations:
  • Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands;Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands;Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands;Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands

  • Venue:
  • ROBIO'09 Proceedings of the 2009 international conference on Robotics and biomimetics
  • Year:
  • 2009

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Abstract

We present a new class of gait generation and control algorithms based on the Switching Max-Plus modeling framework that allows for the synchronization of multiple legs of walking robots. Transitions between stance and swing phases of each leg are modeled as discrete events on a system described by max-plus-linear state equations. Different gaits and gait parameters can be interleaved by using different system matrices. Switching in max-plus-linear systems offers a powerful collection of modeling, analysis, and control tools that, in particular, allow for safe transitions between different locomotion gaits that may involve breaking/enforcing synchronization or changing the order of leg lift off events. Experimental validation of the proposed algorithms is presented by the implementation of various horse gaits on a simple quadruped robot.