A state-space approach to H∞ actuator fault detection for sampled-data systems

Actuator fault detection problem for sampled-data systems is investigated in an H_∞ setting, where the effect from exogenous disturbance and uncertainties in the initial state to the residual is attenuated in a prescribed level. Such a problem is first formulated as a modified sampled-data control problem and it turns out the fault detector owns the jump system´s structure. One sufficient existence condition and the design algorithm for the detector are then both provided in terms of solution to a set of Riccati differential equation with finite discrete jumps. The proposed approach for sampled-data actuator fault detection problem is a simple state-space method and it improves the existed results in two folds. First, robustness to the measurement noise and uncertainties in the initial state is considered. Second, parameters of the sampled-data system are allowed to be time-varying.