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- Title
Fault Detection and Isolation of T–S Fuzzy Systems with Time-Delay Using Geometric Approach.
- Authors
Liu, He; Li, Xiao-Jian
- Abstract
This paper investigates the fault detection and isolation problem for Takagi–Sugeno fuzzy time-delay systems under the framework of geometric method. First, the geometric concept of unobservability subspace is introduced and the algorithm for constructing the subspace is presented. Then, based on the above algorithm, the faults are divided into the different unobservability subspaces, and the reduced-order subsystems set corresponding to the fault set is constructed according to the geometrical properties of factor space and canonical projection. Finally, a set of structured residuals which are sensitive to a single fault and decoupled from other faults is established by designing an observer for the subsystems. In addition, H ∞ performance is introduced to attenuate the effects of disturbances and error signals caused by a time-varying delay on the residual. Simulation example verifies the effectiveness of the proposed method.
- Subjects
FUZZY systems; GEOMETRIC analysis; FAULT diagnosis; TIME delay systems; ALGORITHMS
- Publication
International Journal of Fuzzy Systems, 2021, Vol 23, Issue 4, p937
- ISSN
1562-2479
- Publication type
Article
- DOI
10.1007/s40815-020-01023-4