Robust stability analysis of fractional order interval polynomials
Küçük Resim Yok
Tarih
2009
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The paper deals with the robust stability analysis of a Fractional Order Interval Polynomial (FOIP) family. Some new results are presented for testing the Bounded Input Bounded Output (BIBO) stability of dynamical control systems whose characteristic polynomials are fractional order polynomials with interval uncertainty structure. It is shown that the Kharitonov theorem is not applicable for this type of polynomial. A procedure is given for computation of the value set of FOIP. Based on the value set, an algorithm is presented for testing the stability of FOIP. The results presented in the paper are useful for the analysis and design of Fractional Order Interval Control Systems (FOICS). Examples are given to show how the proposed method can be used to assess the effects of parametric variations on the stability in feedback loops with fractional order interval transfer functions. (C) 2009 ISA. Published by Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Fractional order interval polynomial, Fractional order control system, Uncertain systems, Robust stability, Kharitonov theorem, Edge theorem
Kaynak
Isa Transactions
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
48
Sayı
2
