“…However, the flexible manipulator is uncertain and nonlinear, due to the change of terminal load, the hysteresis of driving joint, the flexibility of link and other reasons, it is difficult to establish an accurate real-time model of the flexible manipulator. In order to overcome this problem, sliding mode control (Ullah et al, 2021), robust control (Yang et al, 2019), neural networks control (Gao et al, 2019), fuzzy control (Ethem et al, 2019; Ozguney and Burkan, 2021), and other intelligent control methods (Rahimi and Nazemizadeh, 2014) had achieved certain control effect in theory and application, but there are still many problems, such as large computation, difficult real-time guarantee, parameter drift, and chattering phenomenon. Adaptive control adjusts the control parameters online according to the system state feedback information, which is widely used in the position and vibration control of flexible manipulator (Pradhan and Subudhi, 2014; Schnelle and Eberhard, 2017; Zhang and Liu, 2013).…”