Fault Detection Filtering Design for Discrete-Time Interval Type-2 T-S Fuzzy Systems in Finite Frequency Domain

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Article number9132675
Pages (from-to)213-225
Journal / PublicationIEEE Transactions on Fuzzy Systems
Issue number2
Online published2 Jul 2020
Publication statusPublished - Feb 2021


This article focuses on the problem of fault detection filtering design for discrete-time interval type-2 Takagi-Sugeno (T-S) fuzzy systems in finite frequency domain. Considering the fact that external disturbances and faults are usually reside in finite frequency ranges, the finite frequency H and H- performances are introduced to reflect the disturbance robustness and fault sensitiveness in finite frequency domain, respectively. Based on discrete-time Fourier transform and its properties, finite frequency performance analysis results are first obtained. Then, by exploiting the information on upper and lower membership functions, the membership-function-dependent filtering design conditions in the form of linear matrix inequalities are established for discrete-time interval type-2 T-S fuzzy systems in finite frequency domain. With the obtained filter, a fault detection scheme is then proposed and it is shown that the resulting fault detection system is asymptotically stable with prescribed finite frequency H and H-  performances. Finally, the effectiveness of the proposed method is validated by simulation studies.

Research Area(s)

  • Discrete-time interval type-2 T-S fuzzy systems, fault detection, finite frequency performances, membership-function-dependent, nonparallel distributed compensation (non-PDC) filters

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