Probabilistic robust stabilization of fractional order systems with interval uncertainty
Küçük Resim Yok
Tarih
2015
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This study investigates effects of fractional order perturbation on the robust stability of linear time invariant systems with interval uncertainty. For this propose, a probabilistic stability analysis method based on characteristic root region accommodation in the first Riemann sheet is developed for interval systems. Stability probability distribution is calculated with respect to value of fractional order. Thus, we can figure out the fractional order interval, which makes the system robust stable. Moreover, the dependence of robust stability on the fractional order perturbation is analyzed by calculating the order sensitivity of characteristic polynomials. This probabilistic approach is also used to develop a robust stabilization algorithm based on parametric perturbation strategy. We present numerical examples demonstrating utilization of stability probability distribution in robust stabilization problems of interval uncertain systems. (C) 2015 ISA. Published by Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Fractional order system, Robust stability analysis, System stabilization, Fractional order sensitivity
Kaynak
Isa Transactions
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
57
