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The absolute stability of uncertain nonlinear systems using new formulations of the circle criteria

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posted on 2023-06-07, 19:30 authored by D P Atherton, N Tan
The purpose of this paper is to study the problem of the absolute stability of nonlinear systems with variable plant parameters. New formulations of the circle and off axis circle criteria are developed which enable one to assess the stability of a control system containing a nonlinearity and plant with parametric uncertainties. In contrast to the classical approach which uses the Nyquist plot, the proposed method makes use of the narrowest possible Bode envelopes obtained from new results obtained by the authors where the plant transfer function is taken in factored form.

History

Publication status

  • Published

ISSN

0191-2216

Publisher

IEEE Control Systems Society

Page range

2284-2285

Pages

1.0

Presentation Type

  • paper

Event name

Proceedings of 41st CDC

Event location

Las Vegas, USA

Event type

conference

ISBN

9780780375161

Department affiliated with

  • Engineering and Design Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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