Fractional/distributed-order systems and irrational transfer functions with monotonic step responses

被引：14

作者：

Tavazoei, Mohammad Saleh ^{[1
]}

机构：

[1] Sharif Univ Technol, Dept Elect Engn, Tehran, Iran

来源：

JOURNAL OF VIBRATION AND CONTROL | 2014年 / 20卷 / 11期

基金：

美国国家科学基金会;

关键词：

Fractional-order system; distributed-order system; irrational transfer function; monotonic step response; nonnegative impulse response; NONNEGATIVE IMPULSE-RESPONSE; NUMERICAL INVERSION; LAPLACE TRANSFORM; LTI SYSTEMS; CONTROLLERS; SIMULATION; STABILITY; OVERSHOOT; ACCURACY; EXTREMA;

D O I：

10.1177/1077546313481049

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

This paper deals with irrational transfer functions having monotonic nondecreasing step responses. Firstly, some results on the monotonicity of step responses in irrational transfer functions describing fractional- or distributed-order systems are presented. Then, some conditions guaranteeing the existence of monotonic nondecreasing step responses in more general forms of irrational transfer functions are found. Various examples are brought to show the usefulness of the obtained results in time response analysis of fractional/distributed-order systems. The achievements of the paper can be used in the design of control systems having monotonic step responses.

引用

收藏

页码：1697 / 1706

页数：10

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