Adaptive-back-stepping-based controller design for double-pendulum rotary cranes

The operating process of rotary crane is often very complicated and there are many unpredictable conditions, such as the condition of the load sway around the hook, which will undoubtedly make the sway characteristics analysis of the system and the controller design become more difficult. In addition, for the purpose of decreasing the complexity of controller design, traditional control methods often perform model linearization processing operation, which can reduce the robustness of the system to a certain extent (when the parameters of the crane are unknown or there are external disturbances, the control capability of traditional control methods will be largely degraded). Based on the above, this paper first uses kinematic analysis to derive rotary crane model, and then proposes a nonlinear controller based on adaptive back-stepping method to achieve pendulum elimination and boom positioning. Then the stability of the system is proved by Lyapunov Lemmas. Finally, the performance of the system is verified by comparing the experimental results of different methods.