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Type: Journal article
Title: Fault estimation observer design for discrete-time Takagi-Sugeno fuzzy systems based on piecewise Lyapunov functions
Author: Zhang, K.
Jiang, B.
Shi, P.
Citation: IEEE Transactions on Fuzzy Systems, 2012; 20(1):192-200
Publisher: IEEE-Inst Electrical Electronics Engineers Inc
Issue Date: 2012
ISSN: 1063-6706
Statement of
Ke Zhang, Bin Jiang, and Peng Shi
Abstract: This paper studies the problem of robust fault estimation (FE) observer design for discrete-time Takagi-Sugeno (T-S) fuzzy systems via piecewise Lyapunov functions. Both the full-order FE observer (FFEO) and the reduced-order FE observer (RFEO) are presented. The objective of this paper is to establish a novel framework of the FE observer with less conservatism. First, under the multiconstrained design, an FFEO is proposed to achieve FE for discrete-time T-S fuzzy models. Then, using a specific coordinate transformation, an RFEO is constructed, which results in a new fault estimator to realize FE using current output information. Furthermore, by the piecewise Lyapunov function approach, less conservative results on both FFEO and RFEO are derived by introducing slack variables. Simulation results are presented to illustrate the advantages of the theoretic results that are obtained in this paper.
Keywords: Discrete-time systems; fault estimation (FE); piecewise Lyapunov functions; Takagi–Sugeno (T–S) fuzzy models.
Rights: © 2012 IEEE
RMID: 0020127406
DOI: 10.1109/TFUZZ.2011.2168961
Appears in Collections:Electrical and Electronic Engineering publications

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