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Fault Estimation Observer Design for Discrete-Time Takagi–Sugeno Fuzzy Systems Based on Piecewise Lyapunov Functions | IEEE Journals & Magazine | IEEE Xplore

Fault Estimation Observer Design for Discrete-Time Takagi–Sugeno Fuzzy Systems Based on Piecewise Lyapunov Functions


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 ...Show More

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.
Published in: IEEE Transactions on Fuzzy Systems ( Volume: 20, Issue: 1, February 2012)
Page(s): 192 - 200
Date of Publication: 23 September 2011

ISSN Information:


I. Introduction

The growing requirement for productivity leads to more challenging operating conditions for many practical systems. Such conditions would increase the possibility of system failures. Many practical control systems are subject to possible component malfunctions that may cause significant performance degradation and even instability of the system. To improve the reliability of such systems, the development of fault detection and isolation (FDI) and fault tolerant control (FTC) has received considerable attention in the past two decades and has motivated much research in these fields (see, e.g., [1]–[4] and the references therein).

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References

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