摘要
为了降低分数阶PID控制器的设计难度,并解决其自整定问题,提出了一种简单有效的自整定分数阶PID^(μ)控制器。首先,根据Ziegler-Nichols型PID控制器的整定公式计算出开环系统幅相曲线的约束点坐标;然后,令PID^(μ)控制系统的幅相曲线穿越相同的约束点,从而建立方程组,求解出PID^(μ)控制器的各个参数;最后,整理出一张PID^(μ)控制器的整定公式表,并设计出一个图形用户界面,方便进行工程应用与人机交互。仿真实验的结果表明,PID^(μ)控制器具有调节时间短、超调量小、抗干扰能力强和足够简单有效等特点。
In order to reduce the design difficulties of fractional-order PID controllers and solve the problems of auto-tuning,a simple but effective auto-tuning fractional-order PID^(μ)controller is proposed.Firstly,according to the tuning formulas of the Ziegler-Nichols type PID controller,the constrained-point coordinates of the amplitude-phase curves of the open-loop systems are obtained.Then,the amplitude-phase curves of PID^(μ)control systems are traversed through the same constrained-point and a set of equations can be established.All parameters of the PID^(μ)controller are obtained by solving the equations.Finally,a tuning-formulas table for PID^(μ)controller is compiled,and a graphical user interface(GUI)is designed to facilitate human-computer interaction and engineering applications.The simulation results show that the PID^(μ)controller has the characteristics of short adjustment time,small overshoot,strong anti-interference ability,and simple enough but effective.
作者
唐鸣政
李创
唐荣年
TANG Mingzheng;LI Chuang;TANG Rongnian(School of Mechanical and Electrical Engineering,Hainan University,Haikou 570228,China)
出处
《控制工程》
北大核心
2025年第9期1548-1555,共8页
Control Engineering of China
基金
海南省自然科学基金创新研究团队项目(320CXTD431)
海南省重大科技计划项目(ZDKJ2020013)
海南省重点研发计划项目(ZDY2019048)
国家自然科学基金资助项目(61803131,32060413)。
