“…Numerous methods have been proposed for different types of double pendulum crane systems, such as bridge cranes [4][5][6], tower cranes [7], gantry cranes [8,9] and boom cranes [10][11][12], which are mainly divided into feedback control and open-loop control. In detail, feedback control methods of the double pendulum crane system include proportional integral derivative (PID) control [13], state feedback control [14], sliding mode control [15], enhanced-coupling control [16], adaptive tracking control [17], fuzzy control [18], neural network control [19], etc.…”