Multiple Faults Estimation in Dynamical Systems: Tractable Design and Performance Bounds

In this article, we propose a tractable nonlinear fault estimation filter along with explicit performance bounds for class of linear dynamical systems in the presence both additive and multiplicative faults. We consider case, where faults may occur simultaneously through an identical relationship, setting that is relevant to several application domains, including automotive driving, aviation, chemical plants. The proposed architecture combines tools from model-based approaches control literature regression techniques machine learning. To end, view operator system-theoretic perspective develop are then utilized derive filter. case constant, simultaneously, identically acting faults, it can be shown error converges zero exponential rate. incipient validated on lateral safety SAE level 4 automated vehicles. numerical results show theoretical study indeed close actual error.