Journal
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
Volume -, Issue -, Pages -Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNNLS.2022.3201511
Keywords
Nonlinear dynamical systems; Neural networks; Measurement; Fault diagnosis; Bridges; Kernel; Unsupervised learning; Intelligent fault diagnosis (IFD); neural networks; nonlinear dynamic systems; supervised learning; bridge; unsupervised learning
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Funding
- Natural Sciences and Engineering Research Council of Canada
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This study presents a data-driven intelligent fault diagnosis method for nonlinear dynamic systems. By parameterizing nonlinear systems through a generalized kernel representation and analyzing the theoretical relationship between supervised and unsupervised learning, the designed method achieves the same performance with the use of a bridge between them.
The increased complexity and intelligence of automation systems require the development of intelligent fault diagnosis (IFD) methodologies. By relying on the concept of a suspected space, this study develops explainable data-driven IFD approaches for nonlinear dynamic systems. More specifically, we parameterize nonlinear systems through a generalized kernel representation for system modeling and the associated fault diagnosis. An important result obtained is a unified form of kernel representations, applicable to both unsupervised and supervised learning. More importantly, through a rigorous theoretical analysis, we discover the existence of a bridge (i.e., a bijective mapping) between some supervised and unsupervised learning-based entities. Notably, the designed IFD approaches achieve the same performance with the use of this bridge. In order to have a better understanding of the results obtained, both unsupervised and supervised neural networks are chosen as the learning tools to identify the generalized kernel representations and design the IFD schemes; an invertible neural network is then employed to build the bridge between them. This article is a perspective article, whose contribution lies in proposing and formalizing the fundamental concepts for explainable intelligent learning methods, contributing to system modeling and data-driven IFD designs for nonlinear dynamic systems.
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