区间二型模糊PD控制器的参数设计方法  

Parameter Design Method for Interval Type-2 Fuzzy PD Controller

作　　者：何小飞 杨盛毅[2] 陈静[3] 刘超[2] HE Xiaofei;YANG Shengyi;CHEN Jing;LIU Chao(School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China;School of Physics and Mechatronic Engineering,Guizhou Minzu University,Guiyang 550025,China;School of Information Science and Technology,Baotou Teachers'College,Baotou 014030,China)

机构地区：[1]贵州民族大学数据科学与信息工程学院,贵州贵阳550025 [2]贵州民族大学物理与机电工程学院,贵州贵阳550025 [3]包头师范学院信息科学与技术学院,内蒙古包头014030

出　　处：《现代信息科技》2025年第1期66-70,共5页Modern Information Technology

基　　金：内蒙古自然科学基金(2022MS06010);贵州省基础研究项目(黔科合基础-ZK[2023]一般)。

摘　　要：区间二型模糊PD控制器能够很好地克服系统不确定性带来的影响,因为区间二型模糊系统中FOU的宽度可以影响控制器性能。以往都是根据人为经验来确定FOU的宽度,但其设计难度会随着输入函数的增多而增大。因此,提出了一种利用遗传算法来设计FOU宽度的方法,选取时间乘误差的积分与超调量的和构建目标函数,通过算法不断的迭代优化得出目标函数值最小所对应的最优FOU宽度。为了评估所提出算法的有效性,在两种典型状态下将其与传统PID控制器、常规区间二型模糊PD控制器进行比较分析。实验表明,所提出的优化策略具有较快的调节时间和较小的稳态误差。The Interval Type-2 Fuzzy PD controller can effectively overcome the impact of system uncertainty,because the width of FOU in the Interval Type-2 Fuzzy system can affect the performance of the controller.Traditionally,the width of the FOU is determined based on human experience,but its design difficulty will increase with the increase of input function.Therefore,a method utilizing Genetic Algorithm to design the FOU width is proposed.The Integrated Time Absolute Error and the sum of overshoot are selected to construct the objective function,and the optimal FOU width corresponding to the minimum objective function value is obtained through the continuous iterative optimization of the algorithm.In order to evaluate the effectiveness of the proposed algorithm,it is compared with the traditional PID controller and the conventional Interval Type-2 Fuzzy PD controller in two typical conditions.Experiments show that the proposed optimization strategy has faster adjustment time and smaller steady-state error.

关 键 词：区间二型模糊 FOU 遗传算法 PD 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]