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Hybrid second-order sliding-mode tracking control for Acrobot

In this paper we propose a variable structure controller to solve the tracking control problem of Acrobot. The controller consists of a swing-up phase and a stabilization phase. The desired trajectory is centered at the upright position, while the Acrobot starts from the stable position. A stability analysis of the closed-loop dynamic system in question was performed within the framework of Lyapunov functions. Simulation results show the effectiveness of the proposed controller