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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 Atherton
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.

History

Publication status

  • Published

ISSN

0743-1619

Publisher

IEEE

Pages

5.0

Presentation Type

  • paper

Event name

Proceedings of ACC, Denver, June 2003

Event location

Denver

Event type

conference

ISBN

9780780378964

Department affiliated with

  • Engineering and Design Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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