Model reduction of fuzzy logic systems
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OriginalversjonYu, Z., Yu, J., & Karimi, H. R. (2014). Model reduction of fuzzy logic systems. Mathematical Problems in Engineering, 2014. doi: 10.1155/2014/874530 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.
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