Granular fuzzy PID controller

被引：30

作者：

Najariyan, Marzieh ^{[1
]}

Zhao, Yi ^{[1
]}

机构：

[1] Harbin Inst Technol, Sch Sci, Shenzhen, Peoples R China

来源：

EXPERT SYSTEMS WITH APPLICATIONS | 2021年 / 167卷

基金：

中国国家自然科学基金;

关键词：

PSO algorithm; Granular second order derivative; Overshoot; Rise-time; Horizontal membership functions; PID controller;

D O I：

10.1016/j.eswa.2020.114182

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper an uncertain dynamical system is investigated in which the coefficients are as a class of fuzzy sets and the fuzzy derivative is considered as the granular derivative. Furthermore, the notions of granular second order derivative of a fuzzy function, fuzzy overshoot, fuzzy rise-time, and fuzzy peak-time are introduced. As a result, designing a class of PID controllers called granular Fuzzy PID (gr-FPID) controller is presented based on fuzzy mathematics. The gr-FPID consists of granular integral, granular derivative with fuzzy coefficients. Moreover, the Particle Swarm Optimization (PSO) algorithm is used to tune gr-FPID fuzzy coefficients. It is demonstrated that the gr-FPID controller can effectively control the temperature in a continuous stirred tank reactor in which the parameters are uncertain.

引用

页数：11

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