Reliability Analysis of Residual Vibration Suppression in Flexible Servo Systems under S-curve Trajectory with Bounded Uncertainty
S-shape vibration suppression trajectory planning method is widely used in residual vibration suppression of flexible servo system because of its high efficiency and convenience.However,the actual vibration suppression effect is affected by following error generated by servo systems.Based on interval process model,a reliability analysis method for residual vibration suppression of flexible servo system considering following error is proposed.Firstly,a mapping model between the uncertainty of the displacement following error and the vibration response interval of the flexible end is established.In order to measure the reliability of residual vibration suppression,reliability evaluation models for residual vibration energy suppression and robustness of residual vibration suppression are proposed respectively.The effectiveness of the proposed method is verified by an engineering example,and the influence degree of the characteristic parameters(radius function and auto-correlation function)on the reliability index is quantified.The reliability analysis method provides theoretical support for the evaluation of residual vibration suppression effect of flexible servo system considering following error.