RATIONAL APPROXIMATION AND ANALOG REALIZATION OF FRACTIONAL ORDER TRANSFER FUNCTION WITH MULTIPLE FRACTIONAL POWERED TERMS

M. Khanra; J. Pal; K. Biswas

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RATIONAL APPROXIMATION AND ANALOG REALIZATION OF FRACTIONAL ORDER TRANSFER FUNCTION WITH MULTIPLE FRACTIONAL POWERED TERMS

机译：具有多个分数幂项的分数阶传递函数的有理逼近和模拟实现

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摘要

The concept of model order reduction of high integer order systems using approximate moment matching has been generalized and extended to rational approximation of fractional order transfer function (FOTF). This approximation method converts an FOTF into characteristic numeric values and thus can be applied to rational approximation of FOTF, irrespective of its form of representation. This is very effective when FOTF has multiple fractional powered terms. Two circuit configurations for analog realization of FOTF through rational approximation are discussed and have been shown to be useful in hardware implementation. As a case study, a half order differentiator has been implemented in hardware and can be extended to any FOTF.

机译：使用近似矩匹配的高整数阶系统模型降阶的概念已得到推广，并扩展到分数阶传递函数（FOTF）的有理逼近。该近似方法将FOTF转换为特征数值，因此，无论其表示形式如何，都可以应用于FOTF的有理近似。当FOTF具有多个小数幂项时，这非常有效。讨论了两种用于通过有理逼近来实现FOTF的模拟实现的电路配置，并已证明在硬件实现中很有用。作为案例研究，半阶微分器已经在硬件中实现，可以扩展到任何FOTF。

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来源
《Asian Journal of Control》 |2013年第3期|723-735|共13页
作者
M. Khanra; J. Pal; K. Biswas;
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作者单位

Department of Electrical Engi-neering, Indian Institute of Technology (IIT) Kharagpur, India;

Department of Electrical Engi-neering, Indian Institute of Technology (IIT) Kharagpur, India;

Department of Electrical Engi-neering, Indian Institute of Technology (IIT) Kharagpur, India;

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正文语种 eng
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Analog realization of fractional operator; fractional order differentiator; fractional order system; fractional order transfer function; rational approximation;

机译：小数运算符的模拟实现;分数阶微分器分数阶系统分数阶传递函数有理逼近;

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RATIONAL APPROXIMATION AND ANALOG REALIZATION OF FRACTIONAL ORDER TRANSFER FUNCTION WITH MULTIPLE FRACTIONAL POWERED TERMS

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