火力与指挥控制2025，Vol.50Issue(3)：56-61,70,7.DOI:10.3969/j.issn.1002-0640.2025.03.008
一种新的直流调速系统分数阶内模PID控制方法
A New Fractional-order Internal Model PID Control Method for DC Speed Regulation System
摘要
Abstract
A fractional-order PID control method for the DC speed regulation system based on the internal model control(IMC)is proposed.According to the dynamic mathematical model of a DC servo motor,a fractional order internal model PID(FO-IMC-PID)controller is devised by integrating IMC with fractional calculus.In contrast to the conventional fractional order PID controller,this newly proposed controller streamlines its structure by incorporating only three adjustable parameters,the proposed method can effectively simplify the controller structure.Additionally,based on the amplitude criterion,the phase margin,the flat phase and other robust design criteria,a non-linear set of equations is established between controller parameters and system performance metrics,an optimization methodology for solving controller parameters is provided.The effectiveness and the superiority of the proposed method are verified through the simulation and the experiment results.关键词
分数阶PID控制器/直流调速系统/内模控制/鲁棒性Key words
fractional order PID controller/DC speed regulation system/internal model control/ro-bustness分类
计算机与自动化引用本文复制引用
张宇,赵志诚,刘宁,李明杰..一种新的直流调速系统分数阶内模PID控制方法[J].火力与指挥控制,2025,50(3):56-61,70,7.基金项目
国家自然科学基金(62003077) （62003077）
山西省科技成果转化引导专项基金(202204021301059) （202204021301059）
中央引导地方科技发展基金(YDZJSX20231A047) （YDZJSX20231A047）
优秀来晋博士科研基金资助项目(20232097) （20232097）
