An LMI Approach to the Robust Fault Detection and Isolation Problem
نویسندگان
چکیده
This paper considers the robust fault detection and isolation (FDI) problem for uncertain linear timeinvariant (LTI) systems. An FDI filter minimizes the sensitivity of the residual signal to disturbances and modeling errors subject to the constraint that the transfer matrix function from the faults to the residual is close to a diagonal matrix (for fault isolation). A solution of the optimization problem is presented via the formulation of linear matrix inequalities (LMI). A jet engine example is employed to demonstrate the effectiveness of our results. Keywords— Fault detection and isolation, linear matrix inequalities, robust and H∞ control, multiobjective optimization.
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