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Robustness Analysis of Control Systems with Mixed Perturbations

journal contribution
posted on 2023-06-08, 06:45 authored by Nusret Tan, Derek P Atherton
The paper considers control systems with parametric as well as unstructured uncertainty. Parametric uncertainty is modelled by a transfer function whose numerator and denominator polynomials are independent uncertain polynomials of the form of P (s, q) = l0 (q) + l1 (q)s +... + ln (q)sn where the coefficients depend linearly on q = [q1, q2,..., qq]T and the uncertainty box is Q = {q: qi¿[[ILLEGIBLE]], i = 1, 2,..., q}. The unstructured uncertainty is modelled as H8 norm bounded perturbations and perturbations consisting of a family of nonlinear sector bounded feedback gains. Using the geometric structure of the value set of P(s, q), some results are presented for determination of the robust small gain theorem, robust performance, strict positive realness and absolute stability problem of control systems with parametric as well as unstructured uncertainty. Numerical examples are given to illustrate application of the proposed methods.

History

Publication status

  • Published

Journal

Transactions of the Institute of Measurement and Control

ISSN

0142-3312

Issue

2

Volume

25

Page range

163-184

Pages

22.0

Department affiliated with

  • Engineering and Design Publications

Notes

The paper gives new results on the robust stability of nonlinear systems considering both parametric and unstructured uncertainty.

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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