The vibration control of flexible manipulators based on model predictive control method

This paper proposes a hierarchical control structure based on model predictive control to address the vibration suppression of flexible manipulators under the dynamic constraints. Due to the coupling relationship between the trajectory and the flexible vibration, it provides a solution to vibration reduction if the trajectory can be rationally planned. In the decision layer, an optimal reference trajectory is planned with consideration of the dynamic constraints to ensure the manipulator to locate at the desired position as soon as possible and the reduced flexible vibration is suppressed during the movement. In the execution layer, the tracking controller is designed to minimize a quadratic performance index of the prediction error. Simulations for a single-link flexible manipulator are performed to validate the proposed controllers.