A new approach to the stability of nonlinear systems with uncertain plant parameters

Küçük Resim Yok

Tarih

2003

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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

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N/A

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N/A

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