Please use this identifier to cite or link to this item:
Scopus Web of Science® Altmetric
Type: Journal article
Title: Model approximation for fuzzy switched systems with stochastic perturbation
Author: Su, X.
Wu, L.
Shi, P.
Chen, C.
Citation: IEEE Transactions on Fuzzy Systems, 2015; 23(5):1458-1473
Publisher: IEEE
Issue Date: 2015
ISSN: 1063-6706
Statement of
Xiaojie Su, Ligang Wu, Peng Shi, C.L. Philip Chen
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.
Keywords: Fuzzy systems; Hankel-norm performance, model approximation; stochastic systems; switched systems
Rights: © 2014 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See for more information.
DOI: 10.1109/TFUZZ.2014.2362153
Grant ID:
Appears in Collections:Aurora harvest 3
Electrical and Electronic Engineering publications

Files in This Item:
There are no files associated with this item.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.