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一类不确定分数阶混沌系统的滑模自适应同步

余名哲 张友安

余名哲, 张友安. 一类不确定分数阶混沌系统的滑模自适应同步[J]. 北京航空航天大学学报, 2014, 40(9): 1276-1280. doi: 10.13700/j.bh.1001-5965.2013.0614
引用本文: 余名哲, 张友安. 一类不确定分数阶混沌系统的滑模自适应同步[J]. 北京航空航天大学学报, 2014, 40(9): 1276-1280. doi: 10.13700/j.bh.1001-5965.2013.0614
Yu Mingzhe, Zhang Youan. Sliding mode adaptive synchronization for a class of fractional-order chaotic systems with uncertainties[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(9): 1276-1280. doi: 10.13700/j.bh.1001-5965.2013.0614(in Chinese)
Citation: Yu Mingzhe, Zhang Youan. Sliding mode adaptive synchronization for a class of fractional-order chaotic systems with uncertainties[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(9): 1276-1280. doi: 10.13700/j.bh.1001-5965.2013.0614(in Chinese)

一类不确定分数阶混沌系统的滑模自适应同步

doi: 10.13700/j.bh.1001-5965.2013.0614
详细信息
    作者简介:

    余名哲(1982-),男,湖北松滋人,博士生,18953589889@189.cn.

  • 中图分类号: O415.5

Sliding mode adaptive synchronization for a class of fractional-order chaotic systems with uncertainties

  • 摘要: 基于滑模自适应控制理论、Lyapunov稳定性理论和分数阶线性系统稳定性理论,在考虑系统存在模型不确定和外部扰动的情况下,选用一种具有较强鲁棒性的分数阶滑模曲面,设计了合适的自适应滑模控制器。所设计的控制器能够将系统状态控制到滑模面上,实现两个不确定分数阶混沌系统的同步,且不需事先知道不确定项上界。该控制器结构简单,控制代价小,具有较好的通用性,对未知扰动具有较强的鲁棒性。数值仿真验证了该方法的正确性和有效性。

     

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出版历程
  • 收稿日期:  2013-10-25
  • 网络出版日期:  2014-09-20

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