Dissipation and controlled Euler-Poincaré systems

C. A. Woolsey, A. M. Bloch, N. E. Leonard, J. E. Marsden

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations


The method of controlled Lagrangians is a technique for stabilizing underactuated mechanical systems which involves modifying a system's energy and dynamic structure through feedback. These modifications can obscure the effect of physical dissipation in the closed-loop. For example, generic damping can destabilize an equilibrium which is closed-loop stable for a conservative system model. In this paper, we consider the effect of damping on Euler-Poincaré (special reduced Lagrangian) systems which have been stabilized about an equilibrium using the method of controlled Lagrangians. We describe a choice of feedback dissipation which asymptotically stabilizes a sub-class of controlled Euler-Poincaré systems subject to physical damping. As an example, we consider intermediate axis rotation of a damped rigid body with a single internal rotor.

Original languageEnglish (US)
Pages (from-to)3378-3383
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 2001
Externally publishedYes
Event40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States
Duration: Dec 4 2001Dec 7 2001

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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