Stability Analysis and Control Design for an Underactuated Walking Robot Via Computation of a Transverse Linearization

نویسندگان

  • Leonid B. Freidovich
  • Anton S. Shiriaev
  • Ian R. Manchester
چکیده

Abstract: The problem is to create a hybrid periodic motion, reminiscent of walking, for a model of an underactuated biped robot. We show how to construct a transverse linearization analytically and how to use it for stability analysis and for design of an exponentially orbitally stabilizing controller. In doing so, we extend a technique recently developed for continuous-time controlled mechanical systems with degree of underactuation one. All derivations are shown on an example of a three-link walking robot, modeled as a system with impulse effects.

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تاریخ انتشار 2008