[1]袁晓琳,莫立坡.一类分数阶神经网络的自适应H∞同步[J].智能系统学报,2019,14(2):239-245.[doi:10.11992/tis.201709045]
YUAN Xiaolin,MO Lipo.Adaptive H∞ synchronization of a class of fractional-order neural networks[J].CAAI Transactions on Intelligent Systems,2019,14(2):239-245.[doi:10.11992/tis.201709045]
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《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷:
14
期数:
2019年第2期
页码:
239-245
栏目:
学术论文—机器学习
出版日期:
2019-03-05
- Title:
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Adaptive H∞ synchronization of a class of fractional-order neural networks
- 作者:
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袁晓琳, 莫立坡
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北京工商大学 理学院, 北京 100048
- Author(s):
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YUAN Xiaolin, MO Lipo
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School of Science, Beijing Technology and Business University, Beijing 100048, China
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- 关键词:
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分数阶; 神经网络; 自适应; H∞; 同步; 未知参数; 辨识; 控制器
- Keywords:
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fractional-order; neural networks; adaptive; H∞; synchronization; unknown parameters; identification; controller
- 分类号:
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TP18;O193
- DOI:
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10.11992/tis.201709045
- 摘要:
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针对一类不确定分数阶神经网络系统,研究了其自适应H∞同步问题和参数辨识问题。提出了一个新的可以使闭环系统实现H∞同步的自适应控制协议,利用鲁棒控制的方法和Gronwall-Bellma不等式证明了驱动系统和响应系统在该协议下可以实现同步,同时满足H∞性能。通过仿真实验,验证了所设计控制协议的有效性,并且说明了利用该控制协议可以对未知参数进行辨识。
- Abstract:
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This study aims to address the adaptive H∞ synchronization problem and parameter identification problem of a class of uncertain fractional order neural networks. First, an adaptive control law is proposed to make the closed-loop system achieve H∞ synchronization. Second, by using the robust control method and Gronwall-Bellman inequality, it is shown that the drive system and the response system can achieve synchronization under the proposed control law while satisfying the H∞ performance. Finally, by numerical simulations, the effectiveness of the control law is verified, illustrating that the unknown parameters can also be identified using the proposed control law.
更新日期/Last Update:
2019-04-25