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Computation of limit cycles in nonlinear feedback loops with fractional order plants

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posted on 2023-06-08, 21:19 authored by Derek Atherton, Nusret Tan, Celaleddin Yeroglu, Gurkan Kavuran, Ali Yuce
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.

History

Publication status

  • Published

Page range

1-6

Presentation Type

  • paper

Event name

2014 International Conference on Fractional Differentiation and Its Applications (ICFDA)

Event location

Catania

Event type

conference

Event date

23-25 June 2014

Book title

ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014

Department affiliated with

  • Engineering and Design Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2015-06-30

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