Swing-Up of a Weakly Actuated Double Pendulum via Nonlinear Normal Modes
Swing-Up of a Weakly Actuated Double Pendulum via Nonlinear Normal Modes
We identify the nonlinear normal modes spawning from the stable equilibrium of a double pendulum under gravity, and we establish their connection to homoclinic orbits through the unstable upright position as energy increases. This result is exploited to devise an efficient swing-up strategy for a double pendulum with weak, saturating …