Rational Approximation Methods for a Class of Fractional-Order SISO System in Delta Domain

机译：三角洲域一类分数阶SISO系统的合理逼近方法

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Rational approximation is fundamental for practical implementation of infinite dimensional fractional-order system in the area of system and control. In this paper, a class of fractional-order single-input-single-output (SISO) system has been realized in delta-domain using two rational approximation techniques, namely continued fraction expansion (CFE) approximation and Oustaloup approximation, respectively. Both the techniques use indirect discretization method for obtaining the integer-order approximants of the ideal fractional-order SISO system in delta-domain. The frequency responses of two discretized integer-order approximants of the original fractional-order system are compared subsequently using MATLAB.

机译：理性近似是在系统和控制领域的无限尺寸分数阶系统的实际实施的基础。在本文中，使用两个合理近似技术，即持续的分数扩展（CFE）近似和抛光阶段近似，在Delta-域中实现了一类分数阶单输入单输出（SISO）系统。这两种技术都使用间接离散化方法来获得Δ-域中理想的分数阶SISO系统的整数值近似。随后使用MATLAB进行比较原始分数阶系统的两个离散整数尺寸的频率响应。

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《International conference on communication, devices and networking》|2019年|xviii 587 p.|共8页
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Jaydeep Swarnakar; Prasanta Sarkar; Lairenlakpam Joyprakash Singh;
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中图分类通信;
关键词
Fractional-order system; Oustaloup approximation; CFE approximation; Discretization; Delta operator; Delta-domain;

机译：分数阶系统;响应近似;CFE近似;离散化;三角洲运营商;达达域;

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机译：SISO系统的L / sub 1 /最优控制器的有理逼近
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机译：分数阶微分系统的时域和频域数值解
4. Rational Approximation Methods for a Class of Fractional-Order SISO System in Delta Domain [C] . Jaydeep Swarnakar, Prasanta Sarkar, Lairenlakpam Joyprakash Singh International conference on communication, devices and networking . 2019

机译：三角洲域一类分数阶SISO系统的合理逼近方法
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Rational Approximation Methods for a Class of Fractional-Order SISO System in Delta Domain

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