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

Atherton, Derek, Tan, Nusret, Yeroglu, Celaleddin, Kavuran, Gurkan and Yuce, Ali (2014) Computation of limit cycles in nonlinear feedback loops with fractional order plants. In: 2014 International Conference on Fractional Differentiation and Its Applications (ICFDA), 23-25 June 2014, Catania.

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Abstract

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.

Item Type: Conference or Workshop Item (Paper)
Schools and Departments: School of Engineering and Informatics > Engineering and Design
Depositing User: Nikoleta Kiapidou
Date Deposited: 30 Jun 2015 11:47
Last Modified: 06 Jul 2015 12:57
URI: http://sro.sussex.ac.uk/id/eprint/55047

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