Stabilizing region of fractional-order proportional integral derivative controllers for interval fractional-order plants

被引：2
|
作者：
Ghorbani, Majid [1 ]
Tepljakov, Aleksei [1 ]
Petlenkov, Eduard [1 ]
机构：
[1] Tallinn Univ Technol, Dept Comp Syst, EE-12618 Tallinn, Estonia
来源：
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2023年 / 45卷 / 03期
关键词：
Fractional-order controllers; interval fractional-order plants; stabilizing region; graphical tuning method; interval uncertainties; ROBUST STABILITY; TIME-DELAY; PI; SYSTEMS; ALGORITHM; DESIGN;
D O I：
10.1177/01423312221117866
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper focuses on computing the stabilizing region of fractional-order proportional integral derivative (FOPID) controllers for interval fractional-order plants. In this study, first, a theorem is presented to investigate the robust stability of the given closed-loop system. Then, an algorithm is proposed to solve the problem of robustly stabilizing the interval fractional-order plant using FOPID controllers. Also, two auxiliary functions are proposed to achieve the control requirements on the disturbance rejection and the noise reduction. Finally, four numerical examples are presented to confirm the obtained results.
引用
收藏
页码：546 / 556
页数：11
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