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.
Description:
2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA)
Edited by:Baleanu, D; Machado, JAT
Book Series: International Conference on Fractional Differentiation and Its Applications
Published: 2014
Document Type:Proceedings Paper
Conference
Conference: International Conference on Fractional Differentiation and its Applications (ICFDA)
Location: Catania, ITALY
Date: JUN 23-25, 2014
Sponsor(s):Univ Studi Catania; Home Ind & Bldg Automat Syst; Schneider Elect; IEEE Italian Chapters; IEEE Instrumentat & Measurement Soc; Nucl & Plasma Sci Soc; IEEE Control Syst Soc; Circuits & Syst Soc