Stable synchronization of rigid body networks

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Abstract

We address stable synchronization of a network of rotating and translating rigid bodies in three-dimensional space. Motivated by applications that require coordinated spinning spacecraft or diving underwater vehicles, we prove control laws that stably couple and coordinate the dynamics of multiple rigid bodies. We design decentralized, energy shaping control laws for each individual rigid body that depend on the relative orientation and relative position of its neighbors. Energy methods are used to prove stability of the coordinated multi-body dynamical system. To prove exponential stability, we break symmetry and consider a controlled dissipation term that requires each individual to measure its own velocity. The control laws are illustrated in simulation for a network of spinning rigid bodies.

Original languageEnglish (US)
Pages (from-to)597-626
Number of pages30
JournalNetworks and Heterogeneous Media
Volume2
Issue number4
DOIs
StatePublished - Jan 1 2007

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Engineering(all)
  • Computer Science Applications
  • Applied Mathematics

Keywords

  • Coordinated control
  • Lagrangian reduction
  • Rigid body dynamics
  • Stable synchronization

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