Pendubot: combining of energy and intuitive approaches to swing up, stabilization in erected pose

• Published in: Multibody system dynamics Vol. 25; no. 1; pp. 65 - 80
• Main Authors: Aoustin, Yannick, Formal’skii, Alexander, Martynenko, Yuri
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01-01-2011
• Subjects: Automotive Engineering; Control; Dynamical Systems; Electrical Engineering; Engineering; Mechanical Engineering; Optimization; Vibration; Swing up; Underactuated system; Stabilization; Pendubot; Unstable equilibrium; Saturated control
• ISSN: 1384-5640; 1573-272X
• DOI: 10.1007/s11044-010-9228-5

The objective of this paper is to define a strategy for the swing up of a double-link pendulum and its stabilization in the unstable equilibrium state with both erected links. The first joint of this double-link pendulum, which is the suspension joint, is actuated and the second joint is passive. This double-link pendulum, usually called pendubot, is an underactuated system. The double-link pendulum is straightened during the energy boosting process. The swing up control switches to the balancing mode at the instant when the system comes to the basin of attraction. The limits on the torque amplitude are taken into account. The gains of the saturated balancing control are chosen to ensure the basin of attraction as large as possible. Simulation results demonstrate that our strategy is efficient.