Motor S-Curve Acceleration and Deceleration

Motor S-curve acceleration and deceleration is a widely used motion control strategy that effectively reduces mechanical shock and ensures smoother motor operation. This acceleration/deceleration method derives its name from the S-shaped velocity-time curve, characterized by continuous changes in acceleration.

The core approach to implementing motor S-curve acceleration/deceleration in MATLAB involves分段计算速度曲线 (segment-wise velocity curve calculation). The entire process can be divided into 7 phases: acceleration rise phase, constant acceleration phase, acceleration fall phase, constant velocity phase, deceleration rise phase, constant deceleration phase, and deceleration fall phase. Each phase corresponds to different acceleration change patterns.

Key parameters must be determined during implementation: maximum velocity, maximum acceleration, jerk (rate of acceleration change), and target displacement. Proper configuration of these parameters ensures the motor completes the entire acceleration/deceleration process precisely upon reaching the target position.

Time discretization is crucial in algorithm implementation. The motion process can be divided into微小时间片段 (micro-time segments), where acceleration, velocity, and displacement are calculated for each time increment. By accumulating these微小位移 (micro-displacements), real-time motor position tracking can be achieved through numerical integration methods.

This S-curve algorithm is particularly suitable for applications requiring high motion平滑性 (smoothness), such as precision instrument control and industrial robotics. Compared to traditional trapezoidal acceleration/deceleration, it eliminates mechanical vibrations caused by abrupt acceleration changes, resulting in smoother motion profiles through continuous jerk control.