Robust stability analysis of fractional order interval polynomials.
Robust stability analysis of fractional order interval polynomials.
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DOI：
10.1016/j.isatra.2009.01.002
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发表时间：
2009-04
期刊：
影响因子：
7.3
通讯作者：
N. Tan;O. F. Ozgüven;M. M. Ozyetkin-M.
中科院分区：
文献类型：
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作者：
N. Tan;O. F. Ozgüven;M. M. Ozyetkin-M.
研究了一类分数阶区间多项式族的鲁棒稳定性问题。对特征多项式为具有区间不确定性结构的分数阶多项式的动态控制系统的有界输入有界输出（BIBO）稳定性给出了一些新的判定结果.结果表明，Kharitonov定理是不适用于这类多项式。给出了FOIP值集的计算过程。在此基础上，提出了一种FOIP稳定性检验算法。所得结果对分数阶区间控制系统的分析和设计具有一定的参考价值。最后，给出了分数阶区间传递函数反馈回路参数变化对系统稳定性影响的分析实例。
The paper deals with the robust stability analysis of a Fractional Order Interval Polynomial (FOIP) family. Some new results are presented for testing the Bounded Input Bounded Output (BIBO) stability of dynamical control systems whose characteristic polynomials are fractional order polynomials with interval uncertainty structure. It is shown that the Kharitonov theorem is not applicable for this type of polynomial. A procedure is given for computation of the value set of FOIP. Based on the value set, an algorithm is presented for testing the stability of FOIP. The results presented in the paper are useful for the analysis and design of Fractional Order Interval Control Systems (FOICS). Examples are given to show how the proposed method can be used to assess the effects of parametric variations on the stability in feedback loops with fractional order interval transfer functions.