一种整数阶系统的分数阶（PID）γ控制方法  

A Fractional Order （PID）γControl Method for Integer-Order Systems

作　　者：赵志诚[1] 李明杰[1] 张井岗[1] 

机构地区：[1]太原科技大学电子信息工程学院,山西太原030024

出　　处：《信息与控制》2015年第2期179-183,共5页Information and Control

基　　金：山西省自然科学基金资助项目(2012011027-4)

摘　　要：针对常见的1阶、2阶和1阶加积分系统,提出了一种分数阶(fractional order,FO)控制器设计方法.基于内模控制(internal model control,IMC)原理,采用分数阶滤波器推导出了一种分数阶(PID)γ控制器,该控制器仅包含两个可调整参数,有效降低了分数阶控制器整定的难度,并基于系统相位裕量φm和截止频率ωc,实现了分数阶(PID)γ控制器的参数整定.仿真结果表明,所提出的方法不但设计简单,参数整定方便,而且可使系统获得良好的设定值跟踪特性和干扰抑制特性,以及克服系统参数摄动的鲁棒性.For first-order,second-order,and first-order-plus-integrals systems,a design method for fractional order controllers is proposed.Based on the principle of internal model control,a fractional order （PID）γcontroller is created by using the fractional order filter.This controller only contains two adjustable parameters,so the difficulty of the fractional order controller tuning is reduced.The parameter tuning of the fractional order （PID）γcontroller is realized according to the phase margin,φm ,and the cutoff frequency,ωc ,of the sys-tem.Simulation results show that the proposed method is not only simple in design and convenient in its pa-rameter tuning,but also that it provides better performance in both command value tracking and disturbance rejection,as well as an increased robustness against system perturbation parameters.

关 键 词：内模控制 分数阶控制 (PID)γ控制器 相位裕量 鲁棒性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]