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https://hdl.handle.net/2440/110592
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Type: | Journal article |
Title: | Robust filtering for nonlinear nonhomogeneous Markov jump systems by fuzzy approximation approach |
Author: | Yin, Y. Shi, P. Liu, F. Teo, K. Lim, C.-C. |
Citation: | IEEE Transactions on Cybernetics, 2015; 45(9):1706-1716 |
Publisher: | IEEE |
Issue Date: | 2015 |
ISSN: | 2168-2267 2168-2275 |
Statement of Responsibility: | Yanyan Yin, Peng Shi, Fei Liu, Kok Lay Teo and Cheng-Chew Lim |
Abstract: | This paper addresses the problem of robust fuzzy L₂ - L∞ filtering for a class of uncertain nonlinear discrete-time Markov jump systems (MJSs) with nonhomogeneous jump processes. The Takagi-Sugeno fuzzy model is employed to represent such nonlinear nonhomogeneous MJS with norm-bounded parameter uncertainties. In order to decrease conservation, a polytope Lyapunov function which evolves as a convex function is employed, and then, under the designed mode-dependent and variation-dependent fuzzy filter which includes the membership functions, a sufficient condition is presented to ensure that the filtering error dynamic system is stochastically stable and that it has a prescribed L₂ - L∞ performance index. Two simulated examples are given to demonstrate the effectiveness and advantages of the proposed techniques. |
Keywords: | Fuzzy L2 − L∞ filtering; Markov jump system (MJS); nonhomogeneous processes; uncertain nonlinear system |
Rights: | © 2014 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See http://www.ieee.org/publications_standards/publications/rights/index.html for more information. |
DOI: | 10.1109/TCYB.2014.2358680 |
Grant ID: | http://purl.org/au-research/grants/arc/DP140102180 http://purl.org/au-research/grants/arc/LP140100471 |
Published version: | http://dx.doi.org/10.1109/tcyb.2014.2358680 |
Appears in Collections: | Aurora harvest 8 Electrical and Electronic Engineering publications |
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