Robust H 2 Estimation with Applicationto Robust
نویسنده
چکیده
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 a parameter-dependent bounding function approach in conjunction with multiplier theory (which is intimately related to mixed-structured singular value theory). Speciically, the Popov-Tsypkin multiplier is used to develop an upper bound on an H 2 cost function over an uncertainty set. The robust H 2 estimation problem is formulated as a parameter optimization problem in which the upper bound is minimized subject to a Riccati equation constraint. A continuation algorithm that uses quasi-Newton (BFGS) corrections is developed to solve the minimization problem. The robust H 2 estimation framework is then applied to the robust fault detection of dynamic systems. The results are applied to a simpliied longitudinal ight 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.
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