TY - JOUR
T1 - Fault Detection for Uncertain Polynomial Fuzzy Systems Using H-/H∞Observer and Ellipsoidal Analysis
AU - Han, Weixin
AU - Long, Pan
AU - Xu, Bin
N1 - Publisher Copyright:
© 2022 IEEE.
PY - 2023/4/1
Y1 - 2023/4/1
N2 - This article investigates the fault detection problem of polynomial fuzzy systems with parameter uncertainty, external disturbance, and measurement noise. Based on the H∞ observer and ellipsoidal analysis, a fault detection observer is designed, which is sensitive to faults while robust to disturbances. By using the given H∞ and L∞ performance indexes, the design conditions of fault detection observer are derived in sum of squares. The H∞ fault detection observer can generate the residual for fault detection. We consider the fault-free condition that the admissible residual values are contained in compact sets. Based on the generated residual, the ellipsoidal analysis is used to evaluate the residual and detect the fault. Finally, the feasibility and effectiveness are verified through the simulation of a numerical nonlinear model.
AB - This article investigates the fault detection problem of polynomial fuzzy systems with parameter uncertainty, external disturbance, and measurement noise. Based on the H∞ observer and ellipsoidal analysis, a fault detection observer is designed, which is sensitive to faults while robust to disturbances. By using the given H∞ and L∞ performance indexes, the design conditions of fault detection observer are derived in sum of squares. The H∞ fault detection observer can generate the residual for fault detection. We consider the fault-free condition that the admissible residual values are contained in compact sets. Based on the generated residual, the ellipsoidal analysis is used to evaluate the residual and detect the fault. Finally, the feasibility and effectiveness are verified through the simulation of a numerical nonlinear model.
KW - Ellipsoidal analysis
KW - fault detection (FD)
KW - polyn- omial fuzzy systems (PFSs)
KW - sum of squares (SOSs)
UR - http://www.scopus.com/inward/record.url?scp=85135762122&partnerID=8YFLogxK
U2 - 10.1109/TFUZZ.2022.3195290
DO - 10.1109/TFUZZ.2022.3195290
M3 - 文章
AN - SCOPUS:85135762122
SN - 1063-6706
VL - 31
SP - 1113
EP - 1123
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
IS - 4
ER -