Keywords: Stabilization of Non-linear Systems, Dissipative (2008)
C. A. Woolsey, A. M. Bloch, N. E. Leonard, J. E. Marsden
We describe the effect of physical dissipation on stability of equilibria which have been stabilized, in the absence of damping, using the method of controlled Lagrangians. This method applies to a...
Hamiltonian attitude dynamics for a spacecraft with a point mass oscillator (2002)
Two noncanonical Hamiltonian models are presented for the dynamics of a rigid body with an constrained moving point mass. One of these models is used to analyze stability of steady principal axis...
Dissipation and controlled Euler-Poincaré systems (2001)
C. A. Woolsey, A. M. Bloch, N. E. Leonard, J. E. Marsden
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...