Handling Parametric and Non-parametric Additive Faults in LTV Systems

We recently proposed and investigated a statistical approach to fault detection and isolation (FDI) for linear time-varying (LTV) systems subject to parametric additive faults with time-varying profiles, combining a generalized likelihood ratio (GLR) test and minmax tests with a new recursive filter that cancels out the dynamics of the monitored fault effects. In this paper we extend that approach to the case of LTV systems subject to both parametric and non-parametric additive faults. Two solutions for handling such cases are proposed, assuming either constant or slowly varying parametric faults.