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AuthorBakhtiaridoust, M.
AuthorYadegar, M.
AuthorMeskin, Nader
AuthorNoorizadeh, M.
Available date2022-04-14T08:45:35Z
Publication Date2022
Publication NameIEEE Access
AbstractThis paper presents a model-free fault detection and isolation (FDI) method for nonlinear dynamical systems using Koopman operator theory and linear geometric technique. The key idea is to obtain a Koopman-based reduced-order model of a nonlinear dynamical system and apply the linear geometric FDI method to detect and isolate faults in the system. Koopman operator is an infinite-dimensional, linear operator which lifts the nonlinear dynamic data into an infinite-dimensional space where the correlations of dynamic data behave linearly. However, due to the infinite dimensionality of this operator, an approximation of the operator is needed for practical purposes. In this work, the Koopman framework is adopted toward nonlinear dynamical systems in combination with the linear geometric approach for fault detection and isolation. In order to demonstrate the efficacy of the proposed FDI solution, a mathematical nonlinear dynamical system, and an experimental three-tank setup are considered. Results show a remarkable performance of the proposed geometric Koopman-based fault detection and isolation (K-FDI) technique.
PublisherInstitute of Electrical and Electronics Engineers Inc.
SubjectData reduction
Dynamical systems
Linear control systems
Mathematical operators
Nonlinear dynamical systems
Dynamic mode decompositions
Extended dynamic mode decomposition
Extended dynamics
Fault detection and isolation
Faults detection
Geometric approaches
Koopman operator
Model free
Model-free fault detection and isolation
Power system dynamics
Reduced order modelling
Reduced-order model
Fault detection
TitleModel-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator
Volume Number10

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