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Frequency response computation of fractional order interval transfer functions

机译:分数阶间隔传递函数的频率响应计算

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The paper present extensions of some results developed in the parametric robust control to fractional order interval control systems (FOICS). Computation of the Bode and Nyquist envelopes of FOICS are studied. Using the geometric structure of the value set of fractional order interval polynomials (FOIP), a technique is proposed for computing the Bode and Nyquist envelopes of transfer functions whose numerator and denominator polynomials are fractional order polynomials with interval uncertainty structure. The results obtained are useful for the analysis and design of FOICS. Numerical examples are included to illustrate the benefit of the method presented.
机译:本文介绍了在参数鲁棒控制中开发的一些结果到分数阶间隔控制系统(FOICS)的扩展。研究了FOICS的Bode和Nyquist包络的计算。利用分数阶间隔多项式(FOIP)值集的几何结构,提出了一种计算传递函数的Bode和Nyquist包络的技术,该传递函数的分子和分母多项式是具有区间不确定性结构的分数阶多项式。获得的结果对于FOICS的分析和设计很有用。包括数值示例,以说明所介绍方法的好处。

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