TY - JOUR
AU - Yagasaki, K.
AB - We study chaotic dynamics of a pendulum subjected to linear feedback control with periodic desired motions. The pendulum is assumed to be driven by a servo-motor with small inductance, so that the feedback control system reduces to a periodic perturbation of a planar Hamiltonian system. This Hamiltonian system can possess multiple saddle points with non-transverse homoclinic and/or heteroclinic orbits. Using Melnikov's method, we obtain criteria for the existence of chaos in the pendulum motion. The computation of the Melnikov functions is performed by a numerical method. Several numerical examples are given and the theoretical predictions are compared with numerical simulation results for the behavior of invariant manifolds.
TI - Chaos in a pendulum with feedback control
JF - Nonlinear Dynamics
DO - 10.1007/BF00044981
DA - 2004-04-29
UR - https://www.deepdyve.com/lp/springer-journals/chaos-in-a-pendulum-with-feedback-control-PFTIns0EhS
SP - 125
EP - 142
VL - 6
IS - 2
DP - DeepDyve
ER -