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论文:2021,Vol:39,Issue(2):400-406 |
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引用本文： |
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刘芬, 张克军. 基于分数阶线性系统初态学习的PDα-型迭代学习控制[J]. 西北工业大学学报 |
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LIU Fen, ZHANG Kejun. PDα-type iterative learning control with initial state learning for fractional-order systems[J]. Northwestern polytechnical university |
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| 基于分数阶线性系统初态学习的PDα-型迭代学习控制 |
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| 刘芬1,2, 张克军3 |
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1. 西北工业大学 航海学院, 陕西 西安 710072;
2. 延安大学 数学与计算机科学学院, 陕西 延安 716000;
3. 徐州工程学院 数理学院, 江苏 徐州 221111 |
| 摘要: |
| 为了消除任意初始状态对系统的影响，针对一类具有任意初始状态的分数阶线性连续系统，提出了一种具有初始状态学习的开环和开闭环PDα-型分数阶迭代学习控制算法。在Lebesgue-p范数的意义下，利用卷积积分的广义Young不等式在迭代域中给出具有抗干扰的PDα-型算法收敛的充分条件。实验结果表明，该算法能够保证跟踪误差的收敛性。数值仿真验证了所提算法的有效性和正确性。 |
| 关键词:
分数阶
初始状态学习
迭代学习控制
Lebesgue-p范数
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| PDα-type iterative learning control with initial state learning for fractional-order systems |
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| LIU Fen1,2, ZHANG Kejun3 |
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1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China;
2. College of Mathematics and Computer Science, Yan'an University, Yan'an 716000, China;
3. School of Mathematics and Physical Sciences, Xuzhou Institute of Technology, Xuzhou 221111, China |
| Abstract: |
| In order to eliminate the influence of the arbitrary initial state on the systems, open-loop and open-close-loop PDα-type fractional-order iterative learning control (FOILC) algorithms with initial state learning are proposed for a class of fractional-order linear continuous-time systems with an arbitrary initial state. In the sense of Lebesgue-p norm, the sufficient conditions for the convergence of PDα-type algorithms are disturbed in the iteration domain by taking advantage of the generalized Young inequality of convolution integral. The results demonstrate that under these novel algorithms, the convergences of the tracking error are can be guaranteed. Numerical simulations support the effectiveness and correctness of the proposed algorithms. |
| Key words:
fractional-order
initial state learning
iterative learning control
Lebesgue-p norm
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| 收稿日期: 2020-04-28
修回日期:
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| DOI: 10.1051/jnwpu/20213920400 |
| 基金项目: 陕西省自然科学基金（2020JM-554）与延安大学科研项目（YDY2019-18）资助 |
| 通讯作者:
Email： |
| 作者简介: 刘芬(1982-),女,西北工业大学博士研究生,主要从事智能控制、迭代学习控制研究。
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| 作者相关文章 |
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| 刘芬 在本刊中的所有文章 |
| 张克军 在本刊中的所有文章 |
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相关文献: |
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1．张克军, 彭国华.具有反馈信息的PDα-型迭代学习控制律在Lebesgue-p范数意义下的收敛性分析[J]. 西北工业大学学报, 2017,35(2): 310-315 |
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