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Type: Journal article
Title: Finite-time H∞ filtering for T-S fuzzy discrete-time systems with time-varying delay and norm-bounded uncertainties
Other Titles: Finite-time H-infinity filtering for T-S fuzzy discrete-time systems with time-varying delay and norm-bounded uncertainties
Author: Zhang, Z.
Zhang, Z.
Zhang, H.
Shi, P.
Karimi, H.R.
Citation: IEEE Transactions on Fuzzy Systems, 2015; 23(6):2427-2434
Publisher: Institute of Electrical and Electronics Engineers
Issue Date: 2015
ISSN: 1063-6706
Statement of
Zhuo Zhang, Zexu Zhang, Hui Zhang, Peng Shi, and Hamid Reza Karimi
Abstract: In this paper, we investigate the filtering problem of discretetime Takagi–Sugeno (T–S) fuzzy uncertain systems subject to time-varying delays. A reduced-order filter is designed. With the augmentation technique, a filtering error system with delayed states is obtained. In order to deal with time delays in system states, the filtering error system is first transformed into two interconnected subsystems. By using a two-term approximation for the time-varying delay, sufficient delay-dependent conditions of finite-time boundedness andH∞ performance of the filtering error system are derived with the Lyapunov function. Based on these conditions, the filter design methods are proposed and the filter gain matrices can be obtained by calculating a set of linear matrix inequalities. A numerical example is used to illustrate the effectiveness of the proposed approaches.
Keywords: Finite-time boundedness; H∞ filtering; linear matrix inequalities (LMIs); norm-bounded uncertainties; time delay; T–S fuzzy system
Rights: © 2015 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.
RMID: 0030041154
DOI: 10.1109/TFUZZ.2015.2394380
Grant ID:
Appears in Collections:Electrical and Electronic Engineering publications

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