预磨机磨矿系统的IMC-PID串联解耦控制
IMC-PID Series Decoupling Control of the Pre-mill Grinding System
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摘要: 针对预磨机磨矿系统是一个纯迟延、强耦合的多变量系统,传统的单变量PID控制方法无法满足要求的问题,在满足预磨机设备的粒度生产要求及低功耗的前提下,考虑多种不同因素对磨矿系统的影响,设计了二输入二输出的控制系统,对于系统模型中含有的不确定性时滞环节,根据时滞与时间常数比值情况,选择采用一阶Pade模型近似来对其滞后模型进行转化,进而对模型传递函数进行对角矩阵解耦获得对角传递函数矩阵,并作为内部模型设计出IMC-PID控制器,最后对预磨机系统加入解耦环节的内模控制整定的PID控制系统与常规PID控制系统进行阶跃响应对比仿真验证.结果表明:所设计的加入解耦环节的IMC-PID控制系统具有较强的鲁棒性和满意的调节品质,能有效地解决磨矿系统输出间的耦合和时滞问题,且具有更好的动态性能和抗干扰能力,有很好的工程应用价值.Abstract: The traditional single variable PID control method cannot meet the requirements of the pre-mill grinding system which is a pure delay and strong coupling multivariable system. To meet the production requirements of the grain size and low energy consumption,a diagonal transfer function of matrix was designed by considering the effects of various factors of the grinding system. The transfer function matrix was obtained through having the diagonalisation of transfer function of a system model that contained an uncertainty of time-delay link,whose lagging model was approximated by the first-order Pade model according to the ratio of time delay and time constant,and then it was regarded as internal model control model for designing a IMC-PID controller,in which the control system added was performed step response comparative simulation with conventional PID control system. The results show that the IMC-PID control system with decoupling link has strong robustness and satisfactory regulation quality,which can effectively solve the problem of coupling and time lag between the grinding system output,and has a better dynamic performance and robustness ability,which have a good engineering application value.