Title
Multiple Faults Estimation in Dynamical Systems: Tractable Design and Performance Bounds
Author
van der Ploeg, C.
Alirezaei, M.
van de Wouw, N.
Esfahani, P.M.
Publication year
2022
Abstract
In this article, we propose a tractable nonlinear fault estimation filter along with explicit performance bounds for a class of linear dynamical systems in the presence of both additive and nonlinear multiplicative faults. We consider the case, where both faults may occur simultaneously and through an identical dynamical relationship, a setting that is relevant to several application domains, including automotive driving, aviation, and chemical plants. The proposed filter architecture combines tools from model-based approaches in the control literature and regression techniques from machine learning. To this end, we view the regression operator through a system-theoretic perspective to develop operator bounds that are then utilized to derive performance bounds for the proposed estimation filter. In the case of constant, simultaneously, and identically acting additive and multiplicative faults, it can be shown that the estimation error converges to zero with an exponential rate. The performance of the proposed estimation filter in the presence of incipient faults is validated through an application on the lateral safety systems of SAE level 4 automated vehicles. The numerical results show that the theoretical bounds of this study are indeed close to the actual estimation error.
Subject
Convex optimization
Fault estimation
Additives
Chemical plants
Dynamical systems
Interactive computer systems
Job analysis
Linear control systems
Machine learning
Real time systems
Regression analysis
Convex optimisation
Estimation errors
Fault estimation
Filtering theory
Multiple faults
Multiplicative faults
Performance bounds
Real-Time system
Symbol
Task analysis
To reference this document use:
http://resolver.tudelft.nl/uuid:9a42e631-732a-4e6d-ad0d-b1d655109fde
DOI
https://doi.org/10.1109/tac.2022.3167225
TNO identifier
980663
Publisher
Institute of Electrical and Electronics Engineers Inc.
ISSN
0018-9286
Source
IEEE Transactions on Automatic Control, 67 (67), 4916-4923
Document type
article