IDENTIFICATION OF SYSTEM WITH DISTRIBUTED-ORDER DERIVATIVES

被引：0
|
作者：
Duan, Jun-Sheng [1 ]
Li, Yu [1 ]
机构：
[1] Shanghai Inst Technol, Sch Sci, Haiquan Rd 100, Shanghai 201418, Peoples R China
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2021年 / 24卷 / 05期
基金：
中国国家自然科学基金;
关键词：
fractional calculus; distributed-order deriva-tive; system identification; MODELS;
D O I：
10.1515/fca-2021-0068
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The identification problem for system with distributed-order derivative was considered. The order-weight distribution was approximated by piece-wise linear functions. Then the discretized order-weight distribution was solved in frequency domain by using the least square technique based on the Moore-Penrose inverse matrix. Finally, five representative numerical exam-ples were used to illustrate the validity of the method. The identification results are satisfactory, especially for the continuous order-weight distri-butions. In addition, the overlapped Bode magnitude frequency responses from the identified and exact transfer functions imply the effectiveness of the method.
引用
收藏
页码：1619 / 1628
页数：10
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