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A New Approach to the Stability of Nonlinear Systems with Uncertain Plant Parameters
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posted on 2023-06-07, 19:17 authored by N Tan, D P AthertonThe 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.
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Publication status
- Published
ISSN
0743-1619Publisher
IEEEExternal DOI
Pages
5.0Presentation Type
- paper
Event name
Proceedings of ACC, Denver, June 2003Event location
DenverEvent type
conferenceISBN
9780780378964Department affiliated with
- Engineering and Design Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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