Performance analysis of LTV fault detection schemes with additive faults

Timothy J. Wheeler, Peter Seiler, Andrew K. Packard, Gary J. Balas
2011 IEEE Conference on Decision and Control and European Control Conference  
This paper considers the problem of certifying the performance of a class of model-based fault detection schemes. The underlying plant is assumed to be a linear time-varying (LTV) system subject to a Markov-switching fault input. The fault detection scheme consists of two parts: an LTV component that produces a scalar residual and a static nonlinear function that infers the presence of a fault based on this residual. Probabilistic performance metrics are presented and the complexity of
more » ... these metrics is analyzed. It is shown that under a set of realistic assumptions, this complexity is reduced to polynomial time. An aerospace example, involving a pitot-static probe subject to random bias faults, is used to demonstrate the usefulness of this analysis.
doi:10.1109/cdc.2011.6160786 dblp:conf/cdc/WheelerSPB11 fatcat:ermsq2gh5jbwlo5eyfhtth4csa