Stabilization of relative equilibria for underactuated systems on Riemannian manifolds

  • Authors:
  • Francesco Bullo

  • Affiliations:
  • Coordinated Science Laboratory and General Engineering Department, University of Illinois at Urbana-Champaign, 1308 W. Main St, Urbana, IL 61801, USA

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2000

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Abstract

Steady motions of mechanical systems with symmetry are stabilized via a potential shaping and damping control. A general methodology based on Riemannian geometry tools provides exponential stabilization over the full phase space.