Invariant-set-based fault diagnosis in Lure systems

In this paper, we present an invariant-set-based method for actuator and sensor fault detection and isolation in Lure systems. The Lure plant is controlled by an observer-based feedback tracking controller, designed for the nominal (fault-free) system. Suitable residual signals are constructed from measurable system outputs and estimates associated with the nominal observer. Faults are diagnosed by online contrasting the residual signal trajectories against sets of values that the residuals are shown to attain under healthy or faulty operation. These values are obtained via set-invariance analysis of the system closed-loop trajectories. Copyright (c) 2013 John Wiley & Sons, Ltd.