Abstract: Acceleration and deceleration control technology is an important technology in the electrical actuator control system. In order to reduce the vibration caused by the traditional non-flexible acceleration and deceleration control algorithm to the motor equipment and eliminate the flexible impact of the system, three flexible control algorithms are studied. The seven segment S-type acceleration and deceleration algorithm realizes continuous change of acceleration by controlling JERK value, but there is still sudden change in acceleration. The cosine acceleration and deceleration algorithm improves the system flexibility furtherly and eliminates the flexible impact. The acceleration and deceleration algorithm with continuous JERK eliminates the sudden change of acceleration completely and has high flexibility. Through algorithm simulation and actuator system model simulation, the applicability of the three flexible control algorithms is verified, and suggestions are given for the selection of acceleration and deceleration algorithms under different demand situations. It shows that the motor control should select the appropriate algorithm based on the actual demand, system flexibility, accuracy requirements and other aspects.