快速刀具伺服分数阶PID控制仿真的研究

利用分数阶PID控制,提出了一种新的快速刀具伺服(FTS)跟踪控制方法,以改善FTS的控制性能。根据差分进化算法,讨论了分数阶PID控制器的参数整定;通过数值仿真,考察了该方法的可行性和有效性。针对FTS的轨迹跟踪,根据响应时间、跟踪精度等指标,详细比较了分数阶PID控制与传统PID控制的性能。仿真结果表明,分数阶PID控制器的阶跃响应时间约为5×10-7s,是PID控制响应时间的42%,对频率为1 kHz,幅值为1μm的正弦信号的跟踪误差约为6 nm,是PID跟踪误差的50%,验证了基于分数阶PID控制器实现FTS轨迹跟踪控制的可行性和优越性。

Simulation of fast tool servo control based on fractional PID controller

In order to improve the control performance of fast tool servo（FTS）,a new tracking control method,based on fractional PID controller,was proposed for the FTS.A differential evolution algorithm was employed for the parameter tuning of the fractional PID controller.The feasibility and availability of the proposed controller were examined by numerical simulation.The control performances of fractional and conventional PID controllers were well compared based on performance indexes,including response time and tracking accuracy.The step response time of fractional PID controller is about 5×10-7 s and is 42% of PID controller,the tracking error of a sine wave with 1 kHz frequency and 1 μm amplitude is about 6 nm and is 50% of PID controller.The results of the simulation verify that fractional PID controller is of more excellent control performance than conventional PID controller,and it is suitable for the tracking control of fast tool servo.