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
Recommended Citation
Zhou, Meng; Cao, Zhengcai; Zhou, Mengchu; and Wang, Jing, "Finite-Frequency H-/H∞Fault Detection for Discrete-Time T-S Fuzzy Systems with Unmeasurable Premise Variables" (2021). Faculty Publications. 4070.
https://digitalcommons.njit.edu/fac_pubs/4070