State and fault estimation in singular delayed LPV systems

In this paper, the state and fault estimation problem of singular delayed LPV systems in the presence of disturbances and actuator faults is considered. The system under consideration has multiple unknown time varying delays. For both state and actuator fault estimation, an Unknown Input Observer (UIO) is proposed. Robustness to unknown inputs and uncertainty induced by unknown delays is formulated by means of the Bounded Real Lemma (BRL) for delayed LPV systems. UIO design procedure with a certain level of unknown input attenuation is formulated using LMIs. Also the best achievable attenuation level is computed in a convex optimization framework with LMI constraints. The efficiency of the proposed approach is illustrated via a numerical example.