An LMI approach to the design of fault detection filter for time-delay LTI systems with unknown inputs

The robust fault detection problems for time-delay LTI systems with unknown inputs are studied. The basic idea of our study is to express the robustness as well as the sensitivity of residual signals to the unknown inputs as well as to the faults in terms of L/sub 2-/gain and, based on it, to formulate the design of fault detection filters as an optimization problem. Applying the H/sub /spl infin// optimization technique, an LMI approach to the solution of the optimization problem is then proposed. The main results consist of the derivation of the existence conditions of the fault detection filter for time-delay LTI systems and further the solution of the optimal design problem.