A Physical experimental study of variable-order fractional integrator and differentiator

被引：71
|
作者：
Sheng, H. [1 ,3 ]
Sun, H. G. [2 ,3 ]
Coopmans, C. [3 ]
Chen, Y. Q. [3 ]
Bohannan, G. W. [3 ]
机构：
[1] Dalian Univ Technol, Dept Elect Engn, Dalian 116024, Peoples R China
[2] Hohai Univ, Dept Engn Mech, Inst Soft Matter Mech, Nanjing 210098, Peoples R China
[3] Utah State Univ, Dept Elect & Comp Engn, CSOIS, Logan, UT 84322 USA
来源：
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2011年 / 193卷 / 01期
关键词：
MODEL;
D O I：
10.1140/epjst/e2011-01384-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Recent research results have shown that many complex physical phenomena can be better described using variable-order fractional differential equations. To understand the physical meaning of variable-order fractional calculus, and better know the application potentials of variable-order fractional operators in physical processes, an experimental study of temperature-dependent variable-order fractional integrator and differentiator is presented in this paper. The detailed introduction of analogue realization of variable-order fractional operator, and the influence of temperature to the order of fractional operator are presented in particular. Furthermore, the potential applications of variable-order fractional operators in (PID mu(t))-D-lambda(t) controller and dynamic-order fractional systems are suggested.
引用
收藏
页码：93 / 104
页数：12
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