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Hindawi, Mathematical Problems in Engineering, (2014), p. 1-9, 2014

DOI: 10.1155/2014/874530

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Model Reduction of Fuzzy Logic Systems

Journal article published in 2014 by Zhandong Yu, Jinyong Yu ORCID, Hamid Reza Karimi ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2014/874530 ; This paper deals with the problem of l 2 - l ∞ model reduction for continuous-time nonlinear uncertain systems. The approach of the construction of a reduced-order model is presented for high-order nonlinear uncertain systems described by the T-S fuzzy systems, which not only approximates the original high-order system well with an l 2 - l ∞ error performance level γ but also translates it into a linear lower-dimensional system. Then, the model approximation is converted into a convex optimization problem by using a linearization procedure. Finally, a numerical example is presented to show the effectiveness of the proposed method. © 2014 Zhandong Yu et al.