期刊
IEEE TRANSACTIONS ON FUZZY SYSTEMS
卷 30, 期 4, 页码 945-955出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2021.3050854
关键词
Observers; Fuzzy systems; Estimation; Fault detection; Actuators; Uncertainty; Analytical models; Fault detection and isolation; h-infinity observer; interval estimation; Takagi-Sugeno (T-S) fuzzy model; zonotope method (ZM)
资金
- National Natural Science Foundation of China [61973236, 61573256]
This article deals with fault detection and isolation problems for uncertain discrete-time Takagi-Sugeno fuzzy systems. By combining the H-infinity observer and the zonotope method, a robust observer is designed and a fault detection and isolation scheme is proposed. Numerical simulations are conducted to demonstrate the effectiveness of the proposed method.
This article deals with the fault detection and isolation problems for a class of uncertain discrete-time Takagi-Sugeno (T-S) fuzzy system based on the combination of the H-infinity observer and the zonotope method (ZM). For fault detection (FD) purpose, first, a Luenberger-like H-infinity observer, which is robust to disturbance in a sense of H-infinity performance index is designed under the assumption of the feasibility of an linear matrix inequality. Second, the ZM is applied to the H-infinity observer error dynamic system such that the interval state estimation can be calculated iteratively if the system suffers from neither actuator nor sensor faults. Third, a residual is constructed and its interval estimation is also given, and furthermore, based on the residual interval estimation, an FD scheme is developed. After this, we discuss the fault isolation issue in the similar way to alarm the appearance of the exact type fault: actuator or sensor fault. It is the ZM is applied onto the Luenberger-like observer, the fault detection and isolation performances are improved greatly. Finally, a numerical simulation example is given and some comparisons are also made to the existing results to verify the effectiveness and to show the advantages of proposed method.
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