| 一类线性分数阶时滞系统的滑模控制 |
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| 引用本文： | 张苒,蒋威. 一类线性分数阶时滞系统的滑模控制[J]. 阜阳师范学院学报(自然科学版), 2012, 29(2): 4-7 |
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| 作者姓名： | 张苒 蒋威 |
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| 作者单位： | 安徽大学数学科学学院,安徽合肥,230039 |
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| 基金项目： | 国家自然科学基金项目，高校博士点专项科研基金，安徽省高校重大项目，安徽省高校自筹经货项目 |
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| 摘 要： | 文章主要讨论了一类含有状态时滞的线性分数阶系统的滑模控制设计。基于状态变量分数阶整数化,提出了不含时滞的线性分数阶系统的滑面的问题,给出了一个稳定的切换控制。讨论了含有状态时滞的线性分数阶系统的滑模控制设计,并说明滑模的存在性和控制设计的稳定性。
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| 关 键 词： | 分数阶系统 滑模流形 滑模控制 稳定性 时滞 |
A sliding mode control for a Class of linear fractional systems with delay |
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| ZHANG Ran,JIANG Wei. A sliding mode control for a Class of linear fractional systems with delay[J]. Journal of Fuyang Teachers College:Natural Science, 2012, 29(2): 4-7 |
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| Authors: | ZHANG Ran JIANG Wei |
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| Affiliation: | (School of Mathematical Science,Anhui University,Hefei Anhui 230039,China) |
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| Abstract: | Dealing with a sliding mode control design for a class of linear fractional systems with state delay,we first consider a fractional system without delay for which a sliding surface is proposed based on fractional integration of the state.Then a stabilizing switching controller is derived.At last,a sliding mode control design for fractional systems with state delay is proposed.The existence of the sliding mode and the stability of the proposed control design are discussed. |
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| Keywords: | fractional system sliding manifold sliding mode control stability time-delay |
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