“…As a result, the angle tracking and vibration inhibition of the flexible manipulator have received extensive attention from scholars. Different control laws are proposed to solve this question, for example, PID control [2], adaptive control [3,4], sliding mode control [5,6], neural network control [7], and fuzzy control [8]. However, these traditional control methods are mainly based on with finite-dimensional truncation model described by the ordinary differential equations (ODEs), which ignores some high-frequency modes, leading to model information loss and control spillover problems so as to reduce the control accuracy [9].…”