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Model Approximation for Fuzzy Switched Systems with Stochastic Perturbation
Su X.; Wu L.; Shi P.; Chen C.L.P.
2015
Source PublicationIEEE Transactions on Fuzzy Systems
ISSN10636706
Volume23Issue:5Pages:1458
Abstract

In this paper, the model approximation problem is investigated for a Takagi-Sugeno fuzzy switched system with stochastic disturbance. For a high-order considered system, our attention is focused on the construction of a reduced-order model, which not only approximates the original system well with a Hankel-norm performance but translates it into a lower dimensional fuzzy switched system as well. By using the average dwell time approach and the piecewise Lyapunov function technique, a sufficient condition is first proposed to guarantee the mean-square exponential stability with a Hankel-norm error performance for the error system. The model approximation is then converted into a convex optimization problem by using a linearization procedure. Finally, simulations are provided to illustrate the effectiveness of the proposed theory. © 2014 IEEE.

KeywordFuzzy Systems Hankel-norm Performance Model Approximation Stochastic Systems Switched Systems
DOI10.1109/TFUZZ.2014.2362153
URLView the original
Language英語English
WOS IDWOS:000362582800010
The Source to ArticleScopus
Scopus ID2-s2.0-84959545379
Fulltext Access
Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF COMPUTER AND INFORMATION SCIENCE
Recommended Citation
GB/T 7714
Su X.,Wu L.,Shi P.,et al. Model Approximation for Fuzzy Switched Systems with Stochastic Perturbation[J]. IEEE Transactions on Fuzzy Systems, 2015, 23(5), 1458.
APA Su X.., Wu L.., Shi P.., & Chen C.L.P. (2015). Model Approximation for Fuzzy Switched Systems with Stochastic Perturbation. IEEE Transactions on Fuzzy Systems, 23(5), 1458.
MLA Su X.,et al."Model Approximation for Fuzzy Switched Systems with Stochastic Perturbation".IEEE Transactions on Fuzzy Systems 23.5(2015):1458.
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