A Review of Time domain, Frequency domain and Stability analysis of Linear Complex-Order Systems

被引：0
|
作者：
Jacob, Joel A. [1 ]
Tare, Arti, V [1 ]
Vyawahare, Vishwesh A. [2 ]
Pande, Vijay N. [1 ]
机构：
[1] Coll Engn Pune, Dept Elect Engn, Pune, Maharashtra, India
[2] Ramrao Adik Inst Technol, Dept Elect Engn, Navi Mumbai, Maharashtra, India
来源：
2016 IEEE INTERNATIONAL WIE CONFERENCE ON ELECTRICAL AND COMPUTER ENGINEERING (IEEE WIECON-ECE 2016) | 2016年
关键词：
Complex-order derivative; Complex-order system; Complex conjugate-order system;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The main objective of this paper is to present the time domain, frequency domain and stability analysis of linear systems represented by differential equations with complex-order derivatives. The impulse and step response of three different complex-order systems have been presented numerically with the help of MATLAB. For frequency domain analysis, Bode-plots of the same three complex-order systems have been sketched. Complex-order systems have infinite numbers of complex-conjugate poles. The stability analysis of the complex-order systems has been done in two ways. Firstly, for systems to be stable, the complex-conjugate poles in the principle Riemann sheet must be in the left half plane. Secondly, the complex-order q = u + iv of the complex-order systems must be interior to an open disk in the u-v plane, for systems to be stable.
引用
收藏
页码：164 / 169
页数：6
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