Description:
<jats:title>Abstract</jats:title><jats:p>In this paper, <jats:italic>H</jats:italic><jats:sub>−</jats:sub>/<jats:italic>H</jats:italic><jats:sub><jats:italic>∞</jats:italic></jats:sub> multi‐objective fault detection observer design problem for linear discrete‐time systems is studied. Owing to the model inaccuracy in practical situations, system uncertainty is considered as well as the structure of the uncertainty. Sufficient conditions for the existence of the observers to guarantee the fault sensitivity and disturbance robustness in infinite frequency domain are presented. A new iterative linear matrix inequality (LMI) algorithm for the observers are proposed to obtain the solutions. In order to reduce the conservativeness, the observer design problem in finite frequency domain is also investigated. Simulation results illustrate the effectiveness of the proposed methods.</jats:p>