Michurinsky Pr. 1, Moscow, 119192, Russia
Research Institute of Mechanics, M.V. Lomonosov Moscow State University
Belotelov V. N.
The problem of determining the inclination angle of a pendulum on a cylinder
2011, Vol. 7, No. 4, pp. 837-844
The problem of determining the phase coordinates of a pendulum on a cylinder by measurements of the inclination angle of the cylinder relative to the pendulum is formulated and solved. A necessary and sufficient condition for observability is found. A linear Luenberger observer is constructed whose output variables are used to close a linear feedback control system. Numerical experiments are performed showing the possibility of using this type of control (by means of variables of the observer) in a nonlinear model of controlled motion of a pendulum on a cylinder.