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https://hdl.handle.net/2440/77924
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Type: | Journal article |
Title: | H∞ model reduction of Takagi-Sugeno fuzzy stochastic systems |
Other Titles: | H infinity model reduction of Takagi-Sugeno fuzzy stochastic systems |
Author: | Su, X. Wu, L. Shi, P. Song, Y. |
Citation: | IEEE Transactions on Cybernetics, 2012; 42(6):1574-1585 |
Publisher: | IEEE-Inst Electrical Electronics Engineers Inc |
Issue Date: | 2012 |
ISSN: | 1083-4419 1941-0492 |
Statement of Responsibility: | Xiaojie Su, Ligang Wu, Peng Shi and Yong-Duan Song |
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. |
Keywords: | Cone complementary linearization, H∞ model reduction, stochastic systems, Takagi–Sugeno (T–S) fuzzy systems.Discrete-time systems fault estimation (FE) piecewise Lyapunov functions Takagi–Sugeno (T–S) fuzzy models. |
Rights: | © 2012 IEEE |
DOI: | 10.1109/TSMCB.2012.2195723 |
Published version: | http://dx.doi.org/10.1109/tsmcb.2012.2195723 |
Appears in Collections: | Aurora harvest 4 Electrical and Electronic Engineering publications |
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