학술논문

Performance Bounds for Neural Network Estimators: Applications in Fault Detection
Document Type
Conference
Source
2021 American Control Conference (ACC) American Control Conference (ACC), 2021. :3260-3266 May, 2021
Subject
Aerospace
Bioengineering
Components, Circuits, Devices and Systems
Computing and Processing
Power, Energy and Industry Applications
Robotics and Control Systems
Signal Processing and Analysis
Transportation
Upper bound
Systematics
Sensitivity
Computational modeling
Neural networks
Detectors
Robustness
Language
ISSN
2378-5861
Abstract
We exploit recent results in quantifying the robustness of neural networks to input variations to construct and tune a model-based anomaly detector, where the data-driven estimator model is provided by an autoregressive neural network. In tuning, we specifically provide upper bounds on the rate of false alarms expected under normal operation. To accomplish this, we provide a theory extension to allow for the propagation of multiple confidence ellipsoids through a neural network. The ellipsoid that bounds the output of the neural network under the input variation informs the sensitivity - and thus the threshold tuning - of the detector. We demonstrate this approach on a linear and nonlinear dynamical system.