Design and implementation of fractional differentiators, Part I: System based methods

被引：4

作者：

Wei, Yiheng ^{[1
]}

Gao, Qing ^{[2
]}

Chen, Yuquan ^{[1
]}

Wang, Yong ^{[1
]}

机构：

[1] Univ Sci & Technol China, Dept Automat, Hefei 230026, Anhui, Peoples R China

[2] Univ Duisburg Essen, Inst Automat Control & Complex Syst AKS, D-47057 Duisburg, Germany

来源：

CONTROL ENGINEERING PRACTICE | 2019年 / 84卷

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Fractional calculus; Tracking differentiator; Nonlinear case; Zero initial instant; Construction scheme; ADAPTIVE BACKSTEPPING CONTROL; DISTURBANCE REJECTION CONTROL; OUTPUT-FEEDBACK CONTROL; TRACKING DIFFERENTIATOR; ORDER DIFFERENTIATOR; CONVERGENCE;

D O I：

10.1016/j.conengprac.2018.12.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The online calculation of fractional derivative is an important technique used in the control engineering area. To achieve satisfactory computing performance, this paper proposes a useful and effective tool named fractional order tracking differentiator (FOTD), which is easy to be implemented. A constructive method for designing the FOTD is developed using a class of asymptotically stable fractional order systems. It is shown that FOTD is the pioneering one to achieve it with simple structure, convenient construction and predominant performance. Finally, several examples are conducted to illustrate the effectiveness and efficiency of the proposed methods.

引用

页码：297 / 304

页数：8

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