分数阶非线性三角系统的状态反馈控制器设计

doi:10.6040/j.issn.1672-3961.0.2015.201

山东大学学报(工学版) ›› 2015, Vol. 45 ›› Issue (6): 29-35.doi: 10.6040/j.issn.1672-3961.0.2015.201

分数阶非线性三角系统的状态反馈控制器设计

赵以阁, 王玉振

山东大学控制科学与工程学院, 山东济南 250061

收稿日期:2015-06-26 修回日期:2015-11-02 出版日期:2015-12-20 发布日期:2015-06-26
通讯作者: 王玉振(1963-),男,山东泰安人,博士,教授,博士生导师,主要研究方向为非线性控制,Hamilton控制系统理论,逻辑动态网络,复杂系统.E-mail:yzwang@sdu.edu.cn E-mail:yzwang@sdu.edu.cn
作者简介:赵以阁(1986-),男,山东济南人,博士研究生,主要研究方向为分数阶系统控制.E-mail:zhaoeager@126.com
基金资助:
国家自然科学基金资助项目(G61374065,G61374002);山东省泰山学者项目基金资助项目

State feedback controller design for fractional order system in the triangular form

ZHAO Yige, WANG Yuzhen

School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China

Received:2015-06-26 Revised:2015-11-02 Online:2015-12-20 Published:2015-06-26

摘要/Abstract

摘要： 给出了Caputo分数阶导数的若干新性质,并利用这些性质,建立了分数阶非线性系统渐近稳定的一个充分条件。利用Backsteping方法,针对一类分数阶非线性三角系统,提出了一种状态反馈控制器的设计方法。最后用例子说明理论结果的有效性。

关键词: Caputo分数阶导数, 三角系统, Backsteping方法, 状态反馈, 分数阶系统

Abstract: Some new properties for Caputo fractional derivative were presented, and a sufficient condition of asymptotical stability for fractional order nonlinear systems was obtained based on the new properties. By using the Backstepping technique, the state feedback control design problem for fractional order nonlinear systems in the triangular form was investigated. Two illustrative examples were provided to illustrate the effectiveness of the main results.

Key words: fractional order system, state feedback, triangular system, Backstepping technique, Caputo fractional derivative

中图分类号:

TP273

赵以阁, 王玉振. 分数阶非线性三角系统的状态反馈控制器设计[J]. 山东大学学报(工学版), 2015, 45(6): 29-35.

ZHAO Yige, WANG Yuzhen. State feedback controller design for fractional order system in the triangular form[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2015, 45(6): 29-35.

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分数阶非线性三角系统的状态反馈控制器设计

State feedback controller design for fractional order system in the triangular form

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