Robust disturbance rejection for a fractional-order system based on equivalent-input-disturbance approach

被引：0

作者：

Ruijuan LIU ^{[1
]}

Jinhua SHE ^{[2
,3
,4
]}

Min WU ^{[2
,4
]}

Fenfang ZHU ^{[5
]}

Zhuoyun NIE ^{[5
]}

机构：

[1] School of Applied Mathematics, Xiamen University of Technology

[2] Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems

[3] School of Engineering, Tokyo University of Technology

[4] School of Automation, China University of Geosciences

[5] School of Information Science and Engineering, National Huaqiao University

来源：

Science China(Information Sciences) | 2018年 / 61卷 / 07期

基金：

中国国家自然科学基金;

关键词：

fractional-order system; disturbance rejection; equivalent-input-disturbance; uncertain system; Lyapunov method; state observer; stability;

D O I：

暂无

中图分类号：

O231 [控制论（控制论的数学理论）];

学科分类号：

070105 ; 0711 ; 071101 ; 0811 ; 081101 ;

摘要：

This paper presents a disturbance rejection method that is based on the equivalent-inputdisturbance approach for uncertain fractional-order(FO) systems. An FO observer is used to reconstruct the plant states and estimate the disturbances. A disturbance estimator is incorporated in the construction of the FO control system to actively compensate for the entire disturbance. A robust stability condition for the control system and the parameters of the controller are derived using an indirect Lyapunov method.The presented method effectively rejects disturbances and handles modeling uncertainties without requiring prior knowledge of the disturbance. Comparison simulations on both numerical and practical examples demonstrate the effectiveness of the proposed method.

引用

页码：200 / 211

页数：12

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