Title
Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator
Abstract
This 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.
Year
DOI
Venue
2022
10.1109/ACCESS.2022.3146417
IEEE ACCESS
Keywords
DocType
Volume
Analytical models, Mathematical models, Fault detection, Nonlinear dynamical systems, Linear systems, Generators, Power system dynamics, Model-free fault detection and isolation, Koopman operator, extended dynamic mode decomposition, geometric approach, reduced-order model
Journal
10
ISSN
Citations 
PageRank 
2169-3536
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Mohammadhosein Bakhtiaridoust100.34
Meysam Yadegar200.34
Nader Meskin3979.31
Mohammad Noorizadeh400.68