RFDI in linear systems with time-delays: A parametric approach

A new Luenberger-type unknown-input observer-based parametric approach for robust fault detection and isolation (RFDI) in linear multiple time-delays systems with unknown disturbances is proposed. Using recent result, in terms of the eigenvalues of observer matrix and a group of free parameter vector, the necessary and sufficient condition of disturbance decoupling and fault isolation are established. By choosing the free parameter satisfying some constraints appropriately, the RFDI scheme is realized by employing only one observer-based residual generator. The proposed approach offers all degrees of the design freedom. A numerical example is employed to illustrate the effect of the proposed approach.