Robust H2 estimation with application to robust fault detection

The key to estimator-based, robust fault detection is to generate residuals which are robust against plant uncertainties and external disturbance inputs, which in turn requires the design of robust estimators. Hence, this paper considers the design of robust H-2 estimators using the Popov-Tsypkin multiplier (which is intimately related to mixed-structured singular value theory). The robust H-2 estimation framework is then applied to the robust fault detection of dynamic systems. The results are applied to a simplified longitudinal flight control system. It is shown that the robust fault detection procedure based on the robust H-2 estimation methodology proposed in this paper can reduce false alarm rates.