A new approach to the stability of nonlinear systems with uncertain plant parameters
Küçük Resim Yok
Tarih
2003
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ieee
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The purpose of this paper is to study the problem of the stability of nonlinear systems with variable plant parameters. A new approach which enables one to predict the existence of limit cycles in a control system which simultaneously contains nonlinearities and parametric uncertainties is given. The proposed method makes use of the popular describing function technique and the Bode envelope of linear uncertain transfer functions. The narrowest possible Bode envelopes are obtained from new results obtained by the authors where the plant transfer function is taken in factored form. The technique can be used to cover the cases of linear elements, which have multilinear or nonlinear uncertainty structure, and a nonlinear element with or without memory. Examples are given to show how the proposed method can be used to assess the stability of nonlinear systems with uncertain plant parameters.
Açıklama
Annual American Control Conference (ACC 2003) -- JUN 04, 2003-JUN 06, 2006 -- DENVER, CO
Anahtar Kelimeler
nonlinear systems, limit cycles, describing function method, stability, uncertain plant parameters, bode diagram
Kaynak
Proceedings of The 2003 American Control Conference, Vols 1-6
WoS Q Değeri
N/A
Scopus Q Değeri
N/A