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区间分数阶系统的鲁棒稳定性判别准则:0 < α < 1

高哲 廖晓钟

高哲, 廖晓钟. 区间分数阶系统的鲁棒稳定性判别准则:0 38(2): 175-182. doi: 10.3724/SP.J.1004.2012.00175
引用本文: 高哲, 廖晓钟. 区间分数阶系统的鲁棒稳定性判别准则:0 < α < 1. 自动化学报, 2012, 38(2): 175-182. doi: 10.3724/SP.J.1004.2012.00175
GAO Zhe, LIAO Xiao-Zhong. Robust Stability Criteria for Interval Fractional-order Systems: The 0 ACTA AUTOMATICA SINICA, 2012, 38(2): 175-182. doi: 10.3724/SP.J.1004.2012.00175
Citation: GAO Zhe, LIAO Xiao-Zhong. Robust Stability Criteria for Interval Fractional-order Systems: The 0 < α < 1 Case. ACTA AUTOMATICA SINICA, 2012, 38(2): 175-182. doi: 10.3724/SP.J.1004.2012.00175

区间分数阶系统的鲁棒稳定性判别准则:0 < α < 1

doi: 10.3724/SP.J.1004.2012.00175
详细信息
    通讯作者:

    廖晓钟, 北京理工大学自动化学院教授. 主要研究方向为运动控制,电力电子技术,绿色能源变换与控制技术. E-mail: liaoxiaozhong@bit.edu.cn

Robust Stability Criteria for Interval Fractional-order Systems: The 0 < α < 1 Case

  • 摘要: 针对同元阶次在0和1之间的区间分数阶系统,提出了类似Kharitonov定理的鲁棒稳定性判别准则. 研究了区间分数阶系统分母的主分支函数值集不包含原点所需满足的条件.根据除零原理, 给出了区间分数阶系统鲁棒稳定的顶点和棱边条件. 定义了由分母函数系数构成的矩阵,通过检验矩阵是否在负实轴上存在特征值来检验棱边条件. 最后,通过对两个数值算例的分析说明了这种方法的有效性.
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出版历程
  • 收稿日期:  2011-07-18
  • 修回日期:  2011-10-08
  • 刊出日期:  2012-02-20

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