Summary: Because the fault information’s influence on the federated filter reconstructed with the HLFs (healthy local filters) can not be removed immediately after the fault isolation, the problem of information-sharing of the federated filter with sensor failures in some local filters is investigated. For improving the ability of reconstruction of the federated filter, an information-sharing criterion under \(\varepsilon\)-restraint condition is theoretically proposed by minimizing the contamination on the HLFs from the faulty local filters, along with an adaptive adjustment scheme against sensor failures for information division under a given fault attenuation coefficient \(\varepsilon\). Theoretical analysis and simulation show that, by this method, the HLFs will achieve strong resistance to the contamination before the failures are detected, enabling the reconstructed federated filter to promptly yield a globally optimal solution not containing the fault information.