| 分数阶非线性三角系统的状态反馈控制器设计 |
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| 引用本文： | 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. |
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| 作者姓名： | 赵以阁 王玉振 |
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| 作者单位： | 山东大学控制科学与工程学院, 山东济南 250061 |
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| 基金项目： | 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 |
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| 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。
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| 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 |
| 收稿时间： | 2015-06-26 |
State feedback controller design for fractional order system in the triangular form |
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| ZHAO Yige,WANG Yuzhen.State feedback controller design for fractional order system in the triangular form[J].Journal of Shandong University of Technology,2015,45(6):29-35. |
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| Authors: | ZHAO Yige WANG Yuzhen |
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| Affiliation: | School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China |
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| 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. |
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| Keywords: | fractional order system state feedback triangular system Backstepping technique Caputo fractional derivative |
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