On distributed order integrator/differentiator

被引：44
|
作者：
Li, Yan [2 ]
Sheng, Hu [1 ,3 ]
Chen, Yang Quan [3 ]
机构：
[1] Dalian Univ Technol, Dept Elect Engn, Dalian 116024, Peoples R China
[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China
[3] Utah State Univ, CSOIS, Dept Elect & Comp Engn, Logan, UT 84322 USA
来源：
SIGNAL PROCESSING | 2011年 / 91卷 / 05期
关键词：
Distributed order integrator/differentiator; Signal processing; Controller design; Fractional calculus; Discretization; SINUSOIDAL OSCILLATORS; VARIABLE-ORDER; DIFFUSION; IDENTIFICATION; OPERATORS;
D O I：
10.1016/j.sigpro.2010.10.005
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, we derive the impulse response of the distributed order integrator/differentiator and its asymptotic property by using the complex path integral. Based on the derived analytical impulse response, we present a technique to perform the discretization of the above distributed order integrator/differentiator. The derived asymptotic property can be applied to verify the feasibility of this method. Some new features of the distributed order integrator/differentiator are shown in time and frequency domains. A number of illustrated figures are presented to validate the concepts. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：1079 / 1084
页数：6
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