Note on describing function analysis of fractional order nonlinear control systems
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Systems Research Institute
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper presents extensions of some results, obtained for the analysis of classical nonlinear control systems, to the nonlinear fractional order systems. It is shown that the results related to limit cycle prediction using describing function method can be applied to the fractional order plants. The frequency and the amplitude of the limit cycle are used for auto-tuning of the PID controller for nonlinear control systems with fractional order transfer functions. Fractional order control system with parametric uncertainty is also considered for the nonlinear case. On the other hand, a new method is provided for stability margin computation for fractional order nonlinear control system with parametric uncertainty structure using the Nyquist envelopes of the fractional order uncertain plant and the describing function that represents the nonlinearity of the system. Maximum perturbation bounds of the parameters of the fractional order plant are computed. Numerical examples are included to illustrate the methods presented.
Açıklama
Anahtar Kelimeler
Describing function, Fractional order control, Limit cycle, Nonlinear systems, Relay auto-tuning, Stability margin
Kaynak
Control and Cybernetics
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
44
Sayı
2
