"Finite-Frequency H-/H∞Fault Detection for Discrete-Time T-S Fuzzy Syst" by Meng Zhou, Zhengcai Cao et al.
 

Finite-Frequency H-/H∞Fault Detection for Discrete-Time T-S Fuzzy Systems with Unmeasurable Premise Variables

Document Type

Article

Publication Date

6-1-2021

Abstract

This paper investigates a finite-frequency H-/H∞ fault detection method for discrete-time T-S fuzzy systems with unmeasurable premise variables. To minimize the effect of uncertainties on system performance and maximize that of actuator faults on the generated residual, both the H∞ disturbance attenuation index and finite-frequency H- fault sensitivity index are utilized. Since the premised variables are unmeasurable, the existing generalized Kalman-Yakubovich-Popov lemma cannot be directly extended to these nonlinear systems. In this paper, the conditions of allowing one to design the proposed H-/H∞ fault detection observer are established and transformed into linear matrix inequalities. Some scalars and slack matrices are introduced to bring extra degrees of freedom in observer design. Finally, a single-link robotic manipulator model is utilized to illustrate that the proposed technique can detect faults with smaller amplitude than that required by a normal H∞ observer technique.

Identifier

85106473711 (Scopus)

Publication Title

IEEE Transactions on Cybernetics

External Full Text Location

https://doi.org/10.1109/TCYB.2019.2915050

e-ISSN

21682275

ISSN

21682267

PubMed ID

31613787

First Page

3017

Last Page

3026

Issue

6

Volume

51

Grant

51805021

Fund Ref

National Natural Science Foundation of China

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