H∞ model reduction of Takagi-Sugeno fuzzy stochastic systems
Date
2012
Authors
Su, X.
Wu, L.
Shi, P.
Song, Y.
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Journal article
Citation
IEEE Transactions on Cybernetics, 2012; 42(6):1574-1585
Statement of Responsibility
Xiaojie Su, Ligang Wu, Peng Shi and Yong-Duan Song
Conference Name
Abstract
This paper is concerned with the problem of H(∞) model reduction for Takagi-Sugeno (T-S) fuzzy stochastic systems. For a given mean-square stable T-S fuzzy stochastic system, our attention is focused on the construction of a reduced-order model, which not only approximates the original system well with an H(∞) performance but also translates it into a linear lower dimensional system. Then, the model reduction is converted into a convex optimization problem by using a linearization procedure, and a projection approach is also presented, which casts the model reduction into a sequential minimization problem subject to linear matrix inequality constraints by employing the cone complementary linearization algorithm. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed methods.
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© 2012 IEEE