中文摘要：

针对现有高精度气动位置伺服控制算法复杂、难于工程实现的问题,以灰色关联分析理论为基础,提出基于传统控制算法的灰色关联补偿控制新方法。该方法将灰色关联控制与传统控制相结合,在传统控制回路中增加灰色关联补偿控制器。该补偿控制器根据控制系统实际输出与期望输出数据序列之间的几何形状相似性和距离,计算两者之间的加权灰色关联度,设计灰色关联补偿控制律,对传统控制器的控制输出进行动态补偿。以DGPL型无杆气缸为控制对象,进行气动位置伺服控制的仿真与试验研究,对比灰色关联补偿控制方法与传统控制方法（比例积分微分（Proportional-integral-differential,PID）控制、模糊控制）的控制精度。仿真与试验结果表明,在相同的控制器参数下,灰色关联补偿控制的控制效果优于常规控制器的控制效果,补偿控制器参数经过适当调整,可以实现气动位置伺服系统的高精度控制。

英文摘要：

The existing algorithm of the high precision pneumatic position servo control is rather complicated, and it is difficult to apply in engineering. To this problem, taking grey relational analysis theory as its foundation, a new method of grey relational compensation control is proposed, which is based on traditional control algorithm. This method combines the grey relational control with the traditional control, adding a grey relational compensation controller in the traditional control loop. Based on the geometrical similarity and the distance between the control system＇s actual output and the desired output data sequences, the weighted grey relational degree between them is calculated by this compensation controller, the grey relational compensation control law is designed, and the control output of traditional controller is dynamically compensated. Taking DGPL type rod-less cylinder as controlled device, the simulations and experimental studies on pneumatic position servo controlling are carried out, the control accuracy of grey relational compensation control method and that of traditional control methods （PID control, fuzzy control） are compared. Simulation and experimental results show that： with the same controller parameters, the control effect of grey relational compensation control is obviously superior to that of conventional controller, and after the parameters of compensating controller being adjusted, the pneumatic position servo system can be precisely controlled.