基于稳定裕度的新型IMC-PID整定方法  

A novel IMC-PID tuning method based on stability margin

作　　者：汤赵建 蒋北艳[1] 靳其兵[1] TANG ZhaoJian JIANG BeiYan JIN QiBing(College of Information Science ＆ Technology, Beijing University of Chemical Technology, Beijing 100029, China)

机构地区：[1]北京化工大学信息科学与技术学院,北京100029

出　　处：《北京化工大学学报（自然科学版）》2017年第5期105-110,共6页Journal of Beijing University of Chemical Technology(Natural Science Edition)

基　　金：国家自然科学基金(61273132);中央高校基本科研业务费(ZY1619)

摘　　要：提出了一种针对稳定过程的内模proportion integration differentiation(IMC-PID)控制器整定方法。通过在频域内保证系统达到期望的相位裕度和幅值裕度,将内模控制器转化成PID控制器。转化过程中选用欧拉公式替代内模控制器分母中的非线性部分,并应用拟合方法得到了内模控制系统中滤波器参数与稳定裕度之间的解析关系。在整个转化过程中没有应用任何近似方法,所以最终得到的PID控制器与经典内模控制器能够取得相同的控制效果。最后通过仿真实例验证了本方法的有效性。A tuning method based on internal model control-proportion integration differentiation （IMC-PID） is proposed for a stable process. By guaranteeing the desired phase margin and gain margin, we converted the IMC in- to a PID controller. In the transformation process, the Euler formula was used to replace the nonlinear part of controller＇s denominator. In addition, the analytical relationship between filter parameter and stability region was obtained by fitting techniques. No approximation method is involved in the whole transformation, so the resulting PID can achieve the same control effect as the classical IMC. Finally, simulation examples are given to illustrate the effectiveness of the proposed method.

关 键 词：内模proportion integration differentiation(IMC-PID) 相位裕度 幅值裕度 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]