Robustness analysis of linear periodic time-varying systems subject to structured uncertainty

Kim, Jongrae, Bates, Declan and Postlethwaite, Ian (2006) Robustness analysis of linear periodic time-varying systems subject to structured uncertainty. Systems & Control Letters, 55 (9). pp. 719-725. ISSN 0167-6911

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Abstract

In this paper, we show how Floquet theory may be combined with a technique known as Lifting to cast a linear periodically time-varying system subject to structured linear time invariant uncertainty in the form of a linear fractional transformation. The stability and performance robustness of the resulting system may then be analysed using standard μ-analysis methods. A significant advantage of the proposed approach is that it allows the computation of a worst-case destabilising uncertainty combination which may be used to estimate the conservatism of the computed robustness margin. An example is given to illustrate the application of the proposed approach.

Item Type:	Article
Subjects:	H600 Electronic and Electrical Engineering
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User:	Sarah Howells
Date Deposited:	10 Dec 2012 16:39
Last Modified:	13 Oct 2019 00:23
URI:	http://nrl.northumbria.ac.uk/id/eprint/10764

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