On the robustness analysis of nonlinear systems subject to time-invariant and/or time-varying uncertainty

Bates, Declan, Fekri, Sajjad, Menon, Prathyush and Postlethwaite, Ian (2007) On the robustness analysis of nonlinear systems subject to time-invariant and/or time-varying uncertainty. In: Proceedings of the CEC 2007: IEEE Congress on Evolutionary Computation. IEEE, Piscataway, NJ, pp. 3639-3645. ISBN 978-1424413393

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Abstract

We propose a novel approach for computing lower bounds on robust stability or performance for nonlinear systems subject to time-invariant and/or time-varying uncertainty. The approach exploits the binary coding mechanism used in defining chromosomes for evolutionary search algorithms, in order to allow the uncertain parameter space to be searched over time, thus allowing the computation of destabilising time-varying uncertain parameters. The resulting lower bounds can be used to check the conservatism of upper bounds computed using tools such as the Popov Criterion, IQC's and various extensions of the structured singular value theory. The usefulness of the proposed approach is illustrated via an example.

Item Type:	Book Section
Additional Information:	CEC 2007: IEEE Congress on Evolutionary Computation, 25-28 September 2007, Singapore.
Subjects:	H600 Electronic and Electrical Engineering
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User:	Sarah Howells
Date Deposited:	22 Nov 2012 10:25
Last Modified:	12 Oct 2019 22:29
URI:	http://nrl.northumbria.ac.uk/id/eprint/10356

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