Computation of Limit Cycles in Nonlinear Feedback Loops with Fractional Order Plants
Küçük Resim Yok
Tarih
2014
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ieee
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
International Conference on Fractional Differentiation and its Applications (ICFDA) -- JUN 23-25, 2014 -- Catania, ITALY
Anahtar Kelimeler
Typskin Locus, A function, fractional order systems, nonlinear systems with fractional order plants, describing function, limit cycles
Kaynak
2014 International Conference on Fractional Differentiation and Its Applications (Icfda)
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
