Calculation of all stabilizing fractional-order PD controllers for integrating time delay systems
Küçük Resim Yok
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, a simple and effective stabilization method for integrating time delay systems using fractional order PD controllers C(s) = k(p) k(d)s(mu) is proposed. The presented method is based on finding the stability regions according to the fractional orders of the derivative element in the range of (0, 2). These regions are computed by using three stability boundaries: Real Root Boundary (RRB), Complex Root Boundary (CRB) and Infinite Root Boundary (IRB). The method gives the explicit formulae corresponding to these boundaries in terms of fractional order PD controller (PD(mu) controller) parameters. Thus, the complete set of stabilizing controllers for an arbitrary integrating time delay system can be obtained. In order to demonstrate the effectiveness in solution accuracy and the simplicity of this method, two simulation studies are given. The simulation results indicate that the PD(mu) controllers can provide larger stability regions than the integer order PD controllers. (C) 2009 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Fractional-order control, PD controllers, Integrating systems, Time delay, Stabilization
Kaynak
Computers & Mathematics With Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
59
Sayı
5
