A numerical approximation method for fractional order systems with new distributions of zeros and poles
A numerical approximation method for fractional order systems with new distributions of zeros and poles
复制标题
具有新的零点和极点分布的分数阶系统的数值逼近方法
DOI：
10.1016/j.isatra.2019.09.001
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发表时间：
--
期刊：
影响因子：
7.3
通讯作者：
Yong Wang
中科院分区：
文献类型：
--
作者：
Ang Li;Yiheng Wei;Yiheng Wei;Yong Wang
针对一般SISO分数阶动态系统，提出了一种多零极点方法。基于幅频曲线，设计了一种新的有理分式微分器。MZP方法有三个优点。1)通过对零点和极点分布的新设计，得到了一种更一般的近似系统形式。2)同一个分数阶微分器可以用许多不同的形式来近似。3)利用整数阶积分器构造分数阶微分器，增强了逼近系统的鲁棒性。通过算例验证了该方法的可行性，仿真结果证明了该方法的有效性。
A multiple-zero-pole (MZP) method is proposed for general SISO fractional order dynamic systems in this paper. Based on amplitude–frequency curve, a new rational approach to fractional differentiator is designed. There are three advantages of MZP method. 1) A more generalized form of approximation system is proposed by design the distribution of zeros and poles in a new way. 2) The same fractional differentiator can be approximated in many different forms. 3) The robustness of the approximation system is enhanced by using integer order integrators to construct fractional differentiator. The feasibility of the method is assessed in the illustrative examples, and the simulations prove the effectiveness.