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Design of a Robust H∞ Fault-Detection Filter for Uncertain Disturbance System

The problem of robust fault detection filter is investigated for a class of systems with unknown disturbance and fault inputs. Attention is focused on formulating the design the residuals match with reference model. The robustness of the residual system is proved to be stability. The existence condition of the above filters, which can guarantee the robustness against disturbances and sensitivity against fault are solved by LMI. Finally, an example is given to illustrate the feasibility of the proposed method.