Computation of Limit Cycles in Nonlinear Feedback Loops with Fractional Order Plants

被引：0

作者：

Atherton, Derek P. ^{[1
]}

Tan, Nusret ^{[2
]}

Yeroglu, Celaleddin ^{[2
]}

Kavuran, Gurkan ^{[3
]}

Yuce, Ali ^{[2
]}

机构：

[1] Univ Sussex, Brighton, E Sussex, England

[2] Inonu Univ, Malatya, Turkey

[3] Firat Univ, Elazig, Turkey

来源：

2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA) | 2014年

关键词：

Typskin Locus; A function; fractional order systems; nonlinear systems with fractional order plants; describing function; limit cycles; STABILITY; SYSTEMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with an aspect of the analysis of nonlinear feedback control systems with a fractional order transfer function. A review of the classical describing function (DF) method is given and its application to a control system with a fractional order plant is demonstrated. Unlike the DF method the frequency domain approach of Tsypkin is known to give exact results for limit cycles in relay systems and it is shown that this approach extends to systems with fractional order transfer functions. The formulation is done in terms of A loci which are related to and more general than the Tsypkin loci. Programs have been developed in MATLAB to compute the limit cycle frequency and also to show the results graphically. Examples are provided to illustrate the approach for a relay with no dead zone.

引用

页数：6

共 31 条

[1]

[Anonymous], 2004, 1 IFAC WORKSH FRACT

[2]

[Anonymous], 2011, INTRO NONLINEARITY C

[3]

Atherton D., 1975, Nonlinear control engineering

[4]

Atherton D.P., 1981, STABILITY NONLINEAR

[5] Early developments in nonlinear control [J].